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  • Engineering  (6,886)
  • Wiley-Blackwell  (6,869)
  • Moss Landing, CA  (8)
  • University of Florida. Department of Coastal and Oceanographic Engineering  (5)
  • Bachand & Associates  (4)
  • American Chemical Society
  • 2020-2022  (17)
  • 1995-1999  (2,961)
  • 1985-1989  (2,531)
  • 1980-1984  (1,377)
  • 1925-1929
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  • 1
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    Bachand & Associates | Davis, CA
    In:  Philip.Bachand@tetratech.com | http://aquaticcommons.org/id/eprint/11287 | 393 | 2013-08-01 16:41:54 | 11287 | Bachand & Associates
    Publication Date: 2021-06-30
    Description: Two large hydrologic issues face the Kings Basin, severe and chronic overdraft of about 0.16M ac-ft annually, and flood risks along the Kings River and the downstream San Joaquin River. Since 1983, these floods have caused over $1B in damage in today’s dollars. Capturing flood flows of sufficient volume could help address these two pressing issues which are relevant to many regions of the Central Valley and will only be exacerbated with climate change. However, the Kings River has high variability associated with flow magnitudes which suggests that standard engineering approaches and acquisition of sufficient acreage through purchase and easements to capture and recharge flood waters would not be cost effective. An alternative approach investigated in this study, termed On-Farm Flood Flow Capture, involved leveraging large areas of private farmland to capture flood flows for both direct and in lieu recharge. This study investigated the technical and logistical feasibility of best management practices (BMPs) associated with On-Farm Flood Flow Capture. The investigation was conducted near Helm, CA, about 20 miles west of Fresno, CA. The experimental design identified a coordinated plan to determine infiltration rates for different soil series and different crops; develop a water budget for water applied throughout the program and estimate direct and in lieu recharge; provide a preliminary assessment of potential water quality impacts; assess logistical issues associated with implementation; and provide an economic summary of the program. At check locations, we measured average infiltration rates of 4.2 in/d for all fields and noted that infiltration rates decreased asymptotically over time to about 2 – 2.5 in/d. Rates did not differ significantly between the different crops and soils tested, but were found to be about an order of magnitude higher in one field. At a 2.5 in/d infiltration rate, 100 acres are required to infiltrate 10 CFS of captured flood flows. Water quality of applied flood flows from the Kings River had concentrations of COC (constituents of concern; i.e. nitrate, electrical conductivity or EC, phosphate, ammonium, total dissolved solids or TDS) one order of magnitude or more lower than for pumped groundwater at Terranova Ranch and similarly for a broader survey of regional groundwater. Applied flood flows flushed the root zone and upper vadose zone of nitrate and salts, leading to much lower EC and nitrate concentrations to a depth of 8 feet when compared to fields in which more limited flood flows were applied or for which drip irrigation with groundwater was the sole water source. In demonstrating this technology on the farm, approximately 3,100 ac-ft was diverted, primarily from April through mid-July, with about 70% towards in lieu and 30% towards direct recharge. Substantial flood flow volumes were applied to alfalfa, wine grapes and pistachio fields. A subset of those fields, primarily wine grapes and pistachios, were used primarily to demonstrate direct recharge. For those fields about 50 – 75% of water applied was calculated going to direct recharge. Data from the check studies suggests more flood flows could have been applied and infiltrated, effectively driving up the amount of water towards direct recharge. Costs to capture flood flows for in lieu and direct recharge for this project were low compared to recharge costs for other nearby systems and in comparison to irrigating with groundwater. Moreover, the potentially high flood capture capacity of this project suggests significant flood avoidance costs savings to downstream communities along the Kings and San Joaquin Rivers. Our analyses for Terranova Ranch suggest that allocating 25% or more flood flow water towards in lieu recharge and the rest toward direct recharge will result in an economically sustainable recharge approach paid through savings from reduced groundwater pumping. Two important issues need further consideration. First, these practices are likely to leach legacy salts and nitrates from the unsaturated zone into groundwater. We develop a conceptual model of EC movement through the unsaturated zone and estimated through mass balance calculations that approximately 10 kilograms per square meter of salts will be flushed into the groundwater through displacing 12 cubic meters per square meter of unsaturated zone pore water. This flux would increase groundwater salinity but an equivalent amount of water added subsequently is predicted as needed to return to current groundwater salinity levels. All subsequent flood flow capture and recharge is expected to further decrease groundwater salinity levels. Second, the project identified important farm-scale logistical issues including irrigator training; developing cropping plans to integrate farming and recharge activities; upgrading conveyance; and quantifying results. Regional logistical issues also exist related to conveyance, integration with agricultural management, economics, required acreage and Operation and Maintenance (O&M).
    Description: United States Department of Agriculture Natural Resources Conservation Service
    Description: Terranova Ranch
    Description: Bachand & Associates
    Description: Sustainable Conservation
    Description: University of California Davis
    Description: On-Farm Flood Flow Capture as a Cost Effective Method to Recharge Groundwater and Reduce Downstream Flood Risks; Conservation Innovation Grant (CIG) Agreement No. 68-9104-128
    Description: PDF includes 57 pages (front matter + 53 pp.)
    Keywords: Agriculture ; Engineering ; Environment ; Management ; flood flow ; recharge ; best management practices ; overdraft ; groundwater
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  • 2
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    Bachand & Associates | Davis, CA
    In:  Philip.Bachand@tetratech.com | http://aquaticcommons.org/id/eprint/11289 | 393 | 2013-08-01 15:54:12 | 11289 | Bachand & Associates
    Publication Date: 2021-06-30
    Description: Project fact sheet prepared in cooperation with the USDA Natural Resources Conservation Service and the Kings River Conservation District.
    Description: United States Department of Agriculture Natural Resources Conservation Service
    Description: Terranova Ranch
    Description: Bachand & Associates
    Description: Sustainable Conservation
    Description: University of California Davis
    Description: Conservation Innovation Grant (CIG) Agreement No. 68-9104-0-128
    Keywords: Agriculture ; Earth Sciences ; Engineering ; Environment ; Management ; flood flow ; BMPs ; best management practices ; groundwater
    Repository Name: AquaDocs
    Type: monograph
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  • 3
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    Moss Landing Marine Laboratories | Moss Landing, CA
    In:  http://aquaticcommons.org/id/eprint/4079 | 8 | 2020-08-24 04:02:03 | 4079 | Moss Landing Marine Laboratories
    Publication Date: 2021-06-29
    Description: Commercially available software packages for IBM PC-compatibles are evaluated to use for data acquisition and processing work. Moss Landing Marine Laboratories (MLML) acquired computers since 1978 to use on shipboard data acquisition (Le. CTD, radiometric, etc.) and data processing. First Hewlett-Packard desktops were used then a transition to the DEC VAXstations, with software developed mostly by the author and others at MLML (Broenkow and Reaves, 1993; Feinholz and Broenkow, 1993; Broenkow et al, 1993). IBM PC were at first very slow and limited in available software, so they were not used in the early days. Improved technology such as higher speed microprocessors and a wide range of commercially available software made use of PC more reasonable today. MLML is making a transition towards using the PC for data acquisition and processing. Advantages are portability and available outside support.
    Keywords: Engineering
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  • 4
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    Monterey Bay Aquarium Research Institute | Moss Landing, CA
    In:  http://aquaticcommons.org/id/eprint/1975 | 8 | 2011-09-29 19:53:04 | 1975
    Publication Date: 2021-07-11
    Description: This technical memorandum reports on the noise measurement results performed on MBARI's Ventana ROV. The measurement procedure and the instrumentation for this experiment are also described.This report is organized as follows:Section 1 provides some introductory information.Section 2 describes the experiment and the instrumentation.Section 3 presents the results.Section 4 contains some concluding remarks.(PDF contains 16 pages.)
    Description: Technical memorandum KL002.
    Keywords: Engineering ; Remotely Operated Vehicle (ROV) ; acoustic noise ; spectral analysis ; sensors
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  • 5
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    Moss Landing Marine Laboratories | Moss Landing, CA
    In:  http://aquaticcommons.org/id/eprint/3055 | 8 | 2011-09-29 17:59:16 | 3055 | Moss Landing Marine Laboratories
    Publication Date: 2021-07-01
    Description: This report describes FORTH software written for several instruments used in the NASA-sponsored project to design and build Marine Optical Buoy System (MOBS) and in the NOAA-sponsored project "EOS MODIS Execution: Oceanographic Profiling, Data Acquisition and Management for the Marine Optical Buoy System·'. In the NOAA project MLML and NOAA personnel will participate in quarterly cruises at the MOBS Hawaiian site to validate performance of SeaWiFS and will participate in several extended "process" cruises to provide wide geographic surface truthing investigations similar to those lead by Dennis Clark (NOAA) following the "launch of CZCS in 1979. In the NASA project we are designing and building MOBS, a high resolution spectroradiometer that will operate autonomously in a buoy moored west of Lanai in the Hawaiian Islands. That instrument, the "Marine Optical System" (MOS), will transmit by cellular phone in near real time observations of upwelled radiance and downwelled irradiance from three depths. [PDF contains 90 pages]
    Keywords: Oceanography ; Engineering
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  • 6
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    Bachand & Associates | Davis, CA
    In:  phil@bachandassociates.com | http://aquaticcommons.org/id/eprint/3357 | 393 | 2013-08-08 18:52:54 | 3357 | Bachand & Associates
    Publication Date: 2021-06-27
    Description: Phosphorus removal by wetlands and basins in Lake Tahoe may be improved through designing these systems to filter storm water through media having higher phosphorus removal capabilities than local parent material. Substrates rich in iron, aluminum and calcium oftentimes have enhanced phosphorus removal. These substrates can be naturally occurring, byproducts of industrial or water treatment processes, or engineered. Phosphorus removal fundamentally occurs through chemical adsorption and/or precipitation and much of the phosphorus can be irreversibly bound. In addition to these standard media, other engineered substrates are available to enhance P removal. One such substrate is locally available in Reno and uses lanthanum coated diatomaceous earth for arsenate removal. This material, which has a high positive surface charge, can also irreversibly remove phosphorus. Physical factors also affect P removal. Specifically, specific surface area and particle shape affect filtration capacity, contact area between water and the surface area, and likelihood of clogging and blinding. A number of substrates have been shown to effectively remove P in case studies. Based upon these studies, promising substrates include WTRs, blast furnace slag, steel furnace slag, OPC, calcite, marble Utelite and other LWAs, zeolite and shale. However, other nonperformance factors such as environmental considerations, application logistics, costs, and potential for cementification narrow the list of possible media for application at Tahoe. Industrial byproducts such as slags risk possible leaching of heavy metals and this potential cannot be easily predicted. Fly ash and other fine particle substrates would be more difficult to apply because they would need to be blended, making them less desirable and more costly to apply than larger diameter media. High transportation costs rule out non-local products. Finally, amorphous calcium products will eventually cementify reducing their effectiveness in filtration systems. Based upon these considerations, bauxite, LWAs and expanded shales/clays, iron-rich sands, activated alumina, marble and dolomite, and natural and lanthanum activated diatomaceous earth are the products most likely to be tested for application at Tahoe. These materials are typically iron, calcium or aluminum based; many have a high specific surface area; and all have low transportation costs. (PDF contains 21 pages)
    Keywords: Management ; Ecology ; Pollution ; Limnology ; Engineering ; Earth Sciences ; Environment ; Storm water ; Nutrients ; Phosphorus ; Alumina ; Basins ; Adsorption ; Diatomaceous Earth ; Lake Tahoe ; wetlands
    Repository Name: AquaDocs
    Type: monograph
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  • 7
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    Moss Landing Marine Laboratories | Moss Landing, CA
    In:  http://aquaticcommons.org/id/eprint/3877 | 8 | 2020-08-24 04:00:21 | 3877 | Moss Landing Marine Laboratories
    Publication Date: 2021-06-26
    Description: This report summarizes initial work to incorporate Photometries CH250 charge-coupled device (CCD) detectors in the NOAAIMLML Marine Optics System (MOS). The MOS spectroradiometer will be used primarily in the Marine Optics Buoy (MOBY) to surface truth the ocean color satellite, SeaWiFS, scheduled for launch later this year. This work was funded through Contract NAS5-31746 to NASA, Goddard Space Flight Center. (PDF contains 24 pages)
    Description: 28 August 1994 (rev 28 February 1995)
    Keywords: Oceanography ; Engineering
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  • 8
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    University of Florida. Department of Coastal and Oceanographic Engineering | Gainesville, FL
    In:  http://aquaticcommons.org/id/eprint/493 | 3 | 2020-08-24 03:01:09 | 493 | Oceanographic Engineering Program, Department of Civil and Coastal Engineering, University of Florida
    Publication Date: 2021-06-30
    Description: Covers the engineering aspects of beach nourishment.(Document is 192 pages)
    Keywords: Oceanography ; Engineering ; Beach nourishment ; Florida
    Repository Name: AquaDocs
    Type: monograph
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  • 9
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    University of Florida. Department of Coastal and Oceanographic Engineering | Gainesville, FL
    In:  http://aquaticcommons.org/id/eprint/496 | 3 | 2020-08-24 03:02:24 | 496 | Oceanographic Engineering Program, Department of Civil and Coastal Engineering, University of Florida
    Publication Date: 2021-06-30
    Description: This report presents the results of laboratory studies which were carried out in the Coastaland Oceanographical Engineering Laboratory to investigate the effects of ground water tableelevations on the beach profile changes over the swash zone. The experiment was conducted atthree different water table levels while the other experimental conditions were fixed to constantvalues with regular waves. The water table levels included (1) normal water table level whichis the same as mean sea level, (2) a higher level and (3) a lower level than the mean sealevel. Special attention was given to the higher water level to investigate whether this levelenhances erosion of the beach face and also to methods of interpreting the experimental data.The experiment described herein was carried out with a fairly fine sand and has demonstratedthe significance of beach water table on profile dynamics. The increased water table levelcaused distinct effects in three definite zones. First, erosion occurred at the base of the beachface and the sand eroded was carried up and deposited on the upper portion of the beachface. Secondly, the bar trough deepened considerably and rapidly and the eroded sand wasdeposited immediately landward. This depositional area changed from mildly erosional tostrongly depositional. Third, the area seaward of the bar eroded with a substantial deepening.The lowered water table appeared to result in a much more stable beach and the resultingeffects were much less. The only noticeable trend was a limited deposition in the scour area atthe base of the beach face. (Document has 37 pages.)
    Keywords: Oceanography ; Limnology ; Engineering ; Earth Sciences ; Beach erosion ; ground water
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  • 10
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    University of Florida. Department of Coastal and Oceanographic Engineering | Gainesville, FL
    In:  http://aquaticcommons.org/id/eprint/495 | 3 | 2020-08-24 03:01:50 | 495 | Oceanographic Engineering Program, Department of Civil and Coastal Engineering, University of Florida
    Publication Date: 2021-06-30
    Description: The focus of this study was the flow patterns of a flood tide near an inlet. The objectiveswere to examine flood flow patterns with particular reference to non-uniform or selectivewithdrawal as influenced by bottom topography and longshore currents, and to test theapplicability of conceptually simple analytic solutions to realistic sandy inlet bottom topographies,which often include an ebb shoal. Specifically, the applicability of three analytic solutions, twoof which include offshore selective withdrawal, to modeling of tidal water withdrawal duringflood tide under variable bottom topography and varying ratios of longshore current to inletvelocity, was examined. The three analytic solutions, including those for a horizontal (flat)bottom, a linearly sloping bottom and a logarithmically sloping bottom, together with a uniformlongshore current, were derived using potential flow theory. These solutions exhibit uniformlydistributed flows, selective offshore withdrawal, or an exaggerated offshore withdrawal,respectively, depending on the bottom slope. In order to investigate the flow patterns that exist during flood flow at a real inlet, experiments were conducted in a fixed bed hydrodynamic modelof Jupiter Inlet, Florida. Measurements were made to determine streamlines and velocities. Afield study at the prototype also tracked drogue patterns to determine streamlines and velocities.The physical model tests compared well with the field data. Comparison of thelaboratory and field data was then made to the analytic solutions to determine whether thetopography at Jupiter Inlet, which includes a well-developed ebb shoal, simulates a flat, meanlinearly or logarithmically sloping bottom. By comparing velocities at six selected points, asignificant relationship between the physical model and field data to the flat bottom analyticsolution was evident. The physical model tests and field data suggested that the flood tidal prismwas drawn from the region predominantly shoreward of the ebb shoal, thus implying a nearshoreselective withdrawal. Because the flood tidal prism was drawn from the nearshore, the flowpatterns at Jupiter Inlet did not resemble the analytic solutions of a linearly or logarithmicallysloping bottom, even though over a relatively long distance offshore, the bottom topography doesslope offshore at this inlet. In general, different inlet topographies would lend themselves todifferent analytic solutions, two examples being 1) the linearly sloping bottom of Koombana BayInlet, Australia, which shows an offshore selective withdrawal and 2) the basin-like nearfieldtopography of Jupiter Inlet which shows a more uniform nearshore withdrawal. The implicationsof this study are relevant to inlet management issues such as the mining of an ebb shoal for useas a source of beach sediment and changes in larval transport patterns due to jetty modifications. (Document has 97 pages.)
    Description: Thesis, M.S., Engineering
    Keywords: Oceanography ; Engineering ; Tidal inlets ; Jupiter Island ; Florida
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  • 11
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    Bachand & Associates | California
    In:  http://aquaticcommons.org/id/eprint/1875 | 267 | 2013-08-08 18:57:34 | 1875 | Bachand & Associates
    Publication Date: 2021-07-10
    Description: (pdf contains 418 pages)
    Description: USFS
    Description: City of South Lake Tahoe
    Keywords: Ecology ; Conservation ; Pollution ; Engineering ; Environment ; Bachand & Associates ; UC Davis Tahoe Environmental Research Center ; Desert Research Institute ; UC Davis Aquatic Toxicology Laboratory ; UC Davis School of Veterinary Medicine ; Anatomy ; Physiology and Cell Biology
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  • 12
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    Moss Landing Marine Laboratories | Moss Landing, CA
    In:  http://aquaticcommons.org/id/eprint/2999 | 8 | 2020-08-24 03:59:29 | 2999 | Moss Landing Marine Laboratories
    Publication Date: 2021-06-30
    Description: The MLML DBASE family of programs described here provides many of the. algorithms used in oceanographic data reduction, general data manipulation and line graphs. These programs provide a consistent file structure for serial data typically encountered in oceanography. This introduction should provide enough general knowledge to explain the scope of the program and to run the basic MLML_DBASE programs. It is notintended as a programmer's guide. (PDF contains 50 pages)
    Keywords: Oceanography ; Engineering ; Oceanographic Data Manipulation
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  • 13
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    University of Florida. Department of Coastal and Oceanographic Engineering | Gainesville, FL
    In:  http://aquaticcommons.org/id/eprint/492 | 3 | 2020-08-24 03:00:51 | 492 | Oceanographic Engineering Program, Department of Civil and Coastal Engineering, University of Florida
    Publication Date: 2021-06-30
    Description: With the rapid growth and development of barrier islands, understanding the long-termstability of these islands is an integral part of future coastal planning. The overwash process isthe largest influence on the long-term stability of these islands and thus a correspondingunderstanding is of major importance. A laboratory experiment was undertaken to physicallymodel the wave and current forcing as they pertain to the overwash process. The physical modelwas subjected to various storm conditions common to the occurrence of the overwash.Combinations of wave height, wave period, and overwash depth were tested in an attempt toisolate the significant parameters. Water surface gradients were also applied to observe theirinfluence on the overwash process. Wave height, current, and bed profile measurements weretaken at different locations throughout the tank. In addition, wave height transformationmodeling and mean current prediction were performed and compared to the laboratory results inan attempt to model the overwash process through computer simulations. (Document has 132 pages)
    Description: Thesis, M.S. Engineering
    Keywords: Oceanography ; Engineering ; Barrier islands ; storms ; overwash
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  • 14
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    University of Florida. Department of Coastal and Oceanographic Engineering | Gainesville, FL
    In:  http://aquaticcommons.org/id/eprint/494 | 3 | 2020-08-24 03:01:30 | 494 | Oceanographic Engineering Program, Department of Civil and Coastal Engineering, University of Florida
    Publication Date: 2021-06-30
    Description: In this final report on the investigation of the potentialities of improvedcoastal engineering management of Jupiter Inlet, Florida, three management-guidingissues were considered: better control of the erosion of the south beach, betternavigation access and safety, and better control (reduction) of sediment influx into theinlet channel and upstream points in the Loxahatchee River estuary. The first twoissues have been particularly outstanding, due to persistent concern for the inherentdeficiencies in the protocol for sand pumping and placement on the beach that tends toerode away rapidly, and the concern for conditions for navigation of vessels in theproximity of the inlet in open waters. With regard to the third issue, despite thereasonably successful ongoing program to pump sand out of the borrow areas within theinlet channel, other areas such as some of the marinas in the inlet area, as well as theregion of the Loxahatchee River west of the Florida East Coast Railroad bridge, havebeen experiencing slow but persistent sedimentation.Contingent upon a series of coastal and environmental engineering investigations,a range of engineering actions that could mitigate erosion, navigation and sedimentationproblems were considered. Based on the physical and ecological impacts that would becaused by these actions, two sets of action options that have net beneficial impacts dueto action implementation have been proposed. The first is a set of interdependentaction options that must be instituted inherently in a time-wise phased manner. Thesecond is a set of independent action options which can be instituted as and when desired. For determining the overall feasibility of any action option, it will benecessary to weigh the technical benefits against costs, which are provided. It shouldbe emphasized however that, considering the overwhelmingly observational nature ofcoastal science, the estimates of potential benefits are essentially and inherentlysubjective, and the costs very approximate, especially in cases where the desiredtechnology is in the "bench" stage. (Document has 231 pages)
    Description: This publication is being made available as part of the report series written by the faculty, staff, and students of the Coastal and Oceanographic Program of the Department of Civil and Coastal Engineering.
    Keywords: Management ; Oceanography ; Engineering ; Beach erosion ; Inlet management ; Jupiter Inlet ; Loxahatchee River ; Tidal entrances ; Florida
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  • 15
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    Moss Landing Marine Laboratories | Moss Landing, CA
    In:  http://aquaticcommons.org/id/eprint/3057 | 8 | 2011-09-29 17:58:38 | 3057 | Moss Landing Marine Laboratories
    Publication Date: 2021-07-01
    Description: This report outlines the NOAA spectroradiometer data processing system implemented by the MLML_DBASE programs. This is done by presenting the algorithms and graphs showing the effects of each step in thealgorithms. [PDF contains 32 pages]
    Keywords: Oceanography ; Engineering
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  • 16
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    Moss Landing Marine Laboratories | Moss Landing, CA
    In:  http://aquaticcommons.org/id/eprint/3056 | 8 | 2011-09-29 17:58:30 | 3056 | Moss Landing Marine Laboratories
    Publication Date: 2021-07-01
    Description: This report is a detailed description of data processing of NOAA/MLML spectroradiometry data. It introduces the MLML_DBASE programs, describes the assembly of diverse data fues, and describes general algorithms and how individual routines are used. Definitions of data structures are presented in Appendices. [PDF contains 48 pages]
    Keywords: Oceanography ; Engineering
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  • 17
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    Moss Landing Marine Laboratories | Moss Landing, CA
    In:  http://aquaticcommons.org/id/eprint/3888 | 8 | 2020-08-24 04:00:53 | 3888 | Moss Landing Marine Laboratories
    Publication Date: 2021-06-26
    Description: This report gives the details of water sampling methods and chemical analyses used during MLML participation in the EOS MODIS investigations. It is intended to be used as a reference manual for those engaged in shipboard work. (PDF contains 50 pages)
    Description: EOS MODIS
    Description: April 1995 (Revision 1.0)
    Keywords: Oceanography ; Engineering
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  • 18
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 15 (1980), S. 1-11 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The distribution of the first-passage time is of decisive importance in lift (elevator) design. It yields the easure of performance of the system, the expected number of stops, the interval (i. e. time elapsed between two successive departures from a given floor) and many other parameters and factors determining the required number of lifts in a building. The derivation is based on the transition probability matrix of the operation policy, and consists in solving a system of linear equations.
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  • 19
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 15 (1980), S. 55-62 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Fourier analysis of numerical accuracy has traditionally concentrated on the propagation behaviour of various methods. When systems of equations in more than one unknown are involved, analysis of propagation accuracy alone is shown to be incomplete. A distribution factor is introduced to complement the Fourier analysis in these cases, and application of the concept to two problems commonly encountered in the water resources field is demonstrated. The distribution factor is shown to provide important information which cannot be obtained from the customary analysis of propagation accuracy.
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  • 20
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 15 (1980), S. 177-188 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A simple approximation by nonconforming finite elements is presented that passes the patch test of Irons and Strang but does not yield approximate solutions converging to the solution of the given boundary value problem. It is constructed from continuous piecewise linear functions perturbed by step functions. Further, strange convergence properties of such approximations are explained in all details because they may be typical for the behaviour of nonconforming finite elements violating the basic precondition for convergence.
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  • 21
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 15 (1980), S. 209-223 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The solution of incompressible, viscous flow problems using the primitive variable finite element approach is formulated in a coherent and physically reasoned exposition. In particular, it is shown that terms associated with changes in momentum caused by lack of mass conservation should logically be included in the governing equations. Previous formulations have not considered this possibility. Numerical results are presented to show the effect of inclusion of these extra terms; however, it is concluded from the numerical results for the specific case which was tested that there is no obvious benefit obtained by including these terms.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 237-247 
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    Keywords: Engineering ; Engineering General
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    Notes: A dual load method of truss analysis is presented that allows highly nonlinear member behaviour to be followed. In particular, a brittle type of strut behaviour is considered. The method assumes that the inelastic strut response is known and that piecewise linearization of the behaviour is acceptable. An example is given to illustrate the type of problem that can be handled. The example involves negative stiffness of the members and consequently attention must be given to the equation solving procedure for the structure. A comparison is made with some observed test results.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 291-295 
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    Keywords: Engineering ; Engineering General
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    Notes: A numerical Laplace transform inversion technique is described, which is a modification of the inversion method using an exponential series representation. By adding an auxiliary function and using Erdélyi's inversion formula, the proposed technique provides the inverse approximation with improved accuracy near t = 0. Numerical illustrations shows that this procedure also works in cases when the original method of schapery fails to give satisfactory results.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 308-318 
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    Keywords: Engineering ; Engineering General
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    Notes: A new method for interpolating in triangles is described. Bivariate cubic polynomials are utilized to define an interpolant which assumes arbitrary position and slope on the entire boundary of a triangular domain. Some examples and applications are discussed.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 351-360 
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    Notes: Numerical convergence of first- and second-order plate-bending elements is investigated. Using iso-parametric formulation, general bilinear and biquadratic quadrilaterals, with the three moment components and the transverse deflection as dependent variables, are obtained. The same elements are also used as degenerate triangles by collapsing one side. A constant bending moment patch test, applied numerically to the elements, indicated poor performance for linear triangles, while the bilinear, quadratic and biquadratic elements behaved well, with exact results in uniform meshes. Further numerical examples showed the same general trend as the patch test. Although bilinear, quadratic and biquadratic elements were always able to yield the correct solutions with mesh refinements, the linear triangles were in general unable to do so.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 381-404 
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    Keywords: Engineering ; Engineering General
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    Notes: The complete two-dimensional partial differential equations for developing laminar flow in a circular tube have been treated by a finite difference analysis. Property variation with temperature, especially that of viscosity, is allowed for in a flexible manner. The continuity and momentum equations, and then the energy equations, are solved by direct elimination at each axial step, and marching procedure used in the axial direction. A new technique is that the stepwise energy balance is rigidly satisfied throughout by using it as a constituent equation in place of the ‘explicit’ wall thermal boundary condition normally used.The analysis predicts the complete developing hydrodynamic and thermal fields, together with friction factors and heat transfer coefficients. It has been tested for a range of fluid velocity and thermal boundary conditions and for various fluids, including high viscosity oils, water and air.Data for constant wall heat flux have already been published. 1,2 Predictions for constant wall temperature presented here are for forced and combined convection and are compared with experimental data of Test3 and Zeldin and Schmidt4.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 464-469 
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    Keywords: Engineering ; Engineering General
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    Notes: A numerical method for solving two-point boundary value problems associated with systems of first-order nonlinear ordinary differential equations is described. It needs four function evaluations at each point and is of order h6, where h is the space chop. Results of computational experiments, which include perturbation of the initial conditions, comparing this method with other known methods are given.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 470-476 
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    Notes: An algorithm is given to discretize a polygon or curved surface into triangular arrays. The method first involves the manual division of the array into quadrilaterals with specified numbers on rows and columns. The individual points are then filled in automatically and elements are automatically generated. A point of particular importance is that the number of columns or rows may be made to change. A subroutine is given to perform this task.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 483-494 
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    Keywords: Engineering ; Engineering General
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    Notes: An approximate analysis method for calculating local and system geometric imperfection influences on the displacements, stresses and buckling load of imperfect truss structures, is developed. The structural response, as a function of the design variables, is expressed in this approximate analysis which is much faster and cheaper than the ‘accurate’ analysis. The accurate analysis for a particular design is used as a base for each approximate analysis which then gives the response information needed for other designs in the neighbourhood about the base point design. Comparison of the approximate behaviour predictions with accurate results based on the more refined analysis methods shows that the quality of the proposed approximate analysis procedure is adequate for guiding a structural design procedure. It is evident that the approximate analysis is capable of describing the nonlinear behaviour of the structure, but when nonlinearity increases, the quality of the approximate analysis tends to deteriorate.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 575-582 
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    Keywords: Engineering ; Engineering General
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    Notes: The usual linear shape function for approximating axial displacement in beam finite elements used as eccentric stiffeners leads to an inconsistency which can result in large errors in the deflection of plates or composite beams. The introduction of an additional degree-of-freedom for these elements circumvents this problem.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 639-648 
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    Notes: A boundary-location method is developed for finite element simulation of steady, two-dimensional flows of Newtonian liquid with free boundaries. In the method, boundary shape and position and the velocity and pressure fields are determined simultaneously. Inertial, viscous, gravitational, and surface tension effects are included in the development. The complete set of nonlinear finite element equations is solved by a modified frontal method combined with Newton-Raphson iteration to speed convergence. The finite element used to illustrate the method approximates the pressure as a piecewise constant function and the velocity and free boundaries as piecewise linear functions. Example calculations for flow from a slit show that the method can be effective.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 685-699 
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    Notes: The choice on an efficient direct integration procedure for linear structural dynamic equations of motion is discussed. It is suggested that as accuracy parameter the truncation error on the exponential terms contained in the modal contributions of the exact solution be assumed. This error does not always coincide with the local truncation error. These considerations were used to design an unconditionally stable one-step method whose accuracy is 0(h4). Numerical comparisons with some well-known integration schemes showed the efficiency of the proposed method.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 713-731 
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    Notes: This paper presents a generalized method which generates linear, triangular, quadrilateral and pentahedral elements for the finite element method. Depending on geometrical and material variations, the region to be discretized is manually divided into blocks such as lines, triangles, quadrilaterals, pentahedrons and hexahedrons in several appropriate co-ordinate systems. However, no connectivity information of the adjacent blocks is required by the user as input. The continuity of the generated nodal co-ordinates and element configurations at the block interface are automatically maintained to describe the geometry of structures, no matter how these five types of blocks are connected. Furthermore, a mesh grading algorithm which generates reliable mesh grade distributions in the interior of the triangular and quadrilateral blocks is established corresponding to the arbitrarily defined subdivision numbers for each edge line of blocks. This algorithm is extended to the mesh grading in the interior of the hexahedral and pentahedral blocks. Element numbers are also renumbered in this scheme, in addition to node numbers, in order to increase the computational efficiency of the global matrix assembly. Additional facilities, i.e. loading data generation, boundary condition data generation and so on, are also discussed. An illustrative and a practical example are given to demonstrate the capabilities of this scheme.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 773-778 
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    Notes: The shape functions of serendipity rectangular elements had originally to be found by inspection. More recently an algorithm has been developed to formalize the construction of these shape functions. Here a simple expression is found for the interpolation function of the most general serendipity element. The shape functions can be derived immediately.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 955-980 
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    Notes: A series of finite element algorithms for the calculation of the post-buckling behaviour of structures are proposed. The algorithms represent a finite element implementation of a variational principle for nonlinear eigenvalue problems. Incremental amplitude solution schemes are defined. Numerical results are presented for the post-buckling behaviour of specific structures with linear and nonlinear pre-buckling states.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1041-1052 
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    International Journal for Numerical Methods in Engineering 15 (1980) 
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 935-942 
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 991-1020 
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    Notes: This paper presents isoparametric formulation for the three-dimensional transition finite elements. The transition finite elements are necessary for applications requiring the use of three-dimensional isoparametric solid elements and the curved shell elements. These elements provide proper connections between the two portions of the structure modelled with three-dimensional solids and the curved shell elements. The element properties are derived and presented in detail. Numerical examples are also presented to demonstrate the accuracy and the applications of such elements in three-dimensional stress analysis.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1261-1278 
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    Notes: A hybrid-stress element is developed for the analysis of thin and moderately thick plates. The independent transverse displacement and rotations are interpolated by the 12-node cubic Serendipity shape functions. All components of stress are included and 36β stress assumption is used. The element stiffness possesses correct rank and numerical results indicate that the element does not lock in the thin-plate limit. Results obtained using the present element are compared with those obtained using a 12-node assumed-displacement based Mindlin plate element with reduced integration; the present hybrid-stress element is shown to yield superior accuracy for all cases considered. In addition, the accuracy of the present element is compared against that of analogous 4-node and 8-node hybrid-stress Mindlin plate elements.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1280-1280 
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1083-1094 
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    Notes: This paper is concerned with the solution of the three-dimensional potential problem for electromagnetic river gauging. It extends previous ideas of joining finite elements in an interior region to one infinite external element treated by the boundary integral method1,2 to this case where there are two external infinite elements representing the river and the ground. The boundary continuity conditions on the infinite river-ground interface, as well as the internal-external interfaces, are dealt with by introducing a variational principle with relaxed continuity requirement3.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1107-1107 
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1129-1148 
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1113-1127 
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    Notes: Various boundary methods are considered for the numerical solution of the linear wave equation. The solution in the interior region is obtained using the Lax-Wendroff method. The theory of Gustafsson, Kreiss and Sundström is used to establish stability and the theory of Sköllermo is used to compare the accuracies of the various methods. The accuracy predictions are compared with computed results.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1161-1175 
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    Notes: The technique of fixed-interface modal synthesis used to solve large structural eigenvalue problems is extended to fluid-structure eigenvalue problems with a view to efficient solution of problems involving localized modifications. Three cases are considered: namely, those fluid or fluid-structure vibration problems directly analogous to the structural case; the modification of the fluid model of a structure enclosing a compressible fluid; and the modification of fluid and structural models of a structure enclosing an incompressible fluid. Examples of the three cases are given, as are estimates of the computation that can be saved when using the methods to avoid resolving modified eigenvalue problems. It is also shown that the hard-walled modes of a fluid enclosure can be used to modify the incompressible-fluid modes of the fluid-structure system to account for a degree of compressibility in the fluid. An example and computation estimates are given.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1239-1260 
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    Notes: The assumed-stress hybrid finite element model is examined for application to the bending analysis of thin plates. A hybrid-stress functional is defined by using a Mindlin-type displacement assumption and including all components of stress. The Euler equations and matrix formulation corresponding to this functional are examined to assess the effects of plate thickness, and a rationale is presented for the selection of stress assumptions so that locking is avoided in the thin plate limit. To illustrate these concepts, a series of linear displacement quadrilateral elements are derived and tested, and the best of these elements is identified for suggested implementation in general-purpose computer programs.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1315-1324 
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    Notes: An algorithm is presented for reducing the frontwidth of finite element meshes. The technique takes an arbitrary input scheme and reorders the elements so as to reduce the frontwidth. A number of examples are presented to demonstrate the reliability and effectiveness of the method.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1335-1341 
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    Notes: This review attempts to place in perspective the wide variety of computer methods which are available for constructing irregular computational grids. Several different approaches exist for each aspect of the construction task: creation of the points, recognition of neighbouring points that define grid elements, enumeration of the points with indices, optimization of the positions of the points for computational advantage, and variation of point density throughout the grid.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1381-1393 
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    Notes: The finite element method is used to analyse heat and mass transfer problems in porous media, in which the thermophysical properties are allowed to vary as functions of temperature and moisture. An example is given of the application of the method to the problem of timber drying.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1570-1574 
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    Notes: A method is presented for solving field problems using a finite element formulation, to be executed with the aid of a micro-computer. In order to reduce the requirements regarding memory space, the coefficients of the matrix defining the system of equations are not stored, but calculated when they are needed, in a modification of the usual finite element procedure. The method is applicable to all problems for which Gauss-Seidel iteration converges, and can handle problems involving more than 100 degrees-of-freedom on a computer with 8,000 bytes memory. Computing time may run up to several minutes per cycle of iteration, but on a small, personal computer, this is still acceptable.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1659-1680 
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    Notes: A finite element formulation for the adhesive of a lap joint is presented. The element is based on the assumptions common to the theories of Goland and Reissner and Ojalvo and Eidinoff. Deficiencies of the lap joint theories of those workers and of a previous finite element formulation of the adhesive are pointed out and the covergence of the new formulation to their results is discussed. Experimentally determined extreme fibre strains in the adherends are compared with those determined numerically using the new finite element formulation.
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    International Journal for Numerical Methods in Engineering 15 (1980) 
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1730-1733 
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1747-1769 
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    Notes: Finite elements with polynomial interpolation functions of a degree higher than 2 are used comparatively little on large FEM systems, except in shell elements. However, the author has had several years' experience in the use of the so-called ‘isoparametric, reduced Hermitian element’,4 Which has behaved excellently in an industrial as well as an educational environment. The reason for the interest in the Hermitian concept is that the overcompatibility of the element reduces the number of unknowns, the solution time and the discontinuities in stresses between elements.Explicit formulae for the family of interpolation polynomials of order q and degree p = 2q + 1 are given and hierarchical Hermite elements are introduced. The families of Hermite and serendipity elements are isomorphic and the latter may thus be extended to arbitrary high order.For some problems the equidistant node configuration in Lagrange elements of degree 3 and higher is not optimal with respect to smoothness, and a new type of element, the ‘Lobatto element’, is introduced.The methods consistently produce results of an accuracy which is above the requirements of usual engineering applications, but in graphics smoothness of curves is important for a convincing representation. The methods are of particular interest in industries working with structures composed of almost linear materials with well-known properties.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1771-1812 
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    Notes: An assessment of flat triangular plate bending elements with displacement degrees-of-freedom at the three corner nodes only is presented, with the purpose of identifying the most effective for thin plate analysis. Based on a review of currently available elements, specific attention is given to the theoretical and numerical evaluation of three triangular 9 degrees-of-freedom elements; namely, a discrete Kirchhoff theory (DKT) element, a hybrid stress model (HSM) element and a selective reduced integration (SRI) element. New and efficient formulations of these elements are discussed in detail and the results of several example analyses are given. It is concluded that the most efficient and reliable three-node plate bending elements are the DKT and HSM elements.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1613-1626 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The method of infinite elements is briefly reviewed. New more logical and general formulations of infinite elements are presented. The simplicity of the programming is emphasized. Results are given for elasticity and potential problems. Future extensions are discussed.
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    International Journal for Numerical Methods in Engineering 15 (1980), S. 1681-1689 
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    Notes: Convection-diffusion equations are difficult to solve when the convection term dominates because most solution methods give solutions which oscillate in space. Previous criteria based on the one-dimensional convection-diffusion equation have shown that finite difference and Galerkin (linear or quadratic basis functions) will not give oscillatory solutions provided the Peclet number times the mesh size (Pe Δx) is below a critical value. These criteria are based on the solution at the nodes, and ensure that the nodal values are monotone. Similar criteria are developed here for other methods: quadratic Galerkin with upwind weighting, cubic Galerkin, orthogonal collocation on finite elements with quadratic, cubic or quartic polynomials using Lagrangian interpolation, cubic or quartic polynominals using Hermite interpolation, and the method of moments. The nodal values do not oscillate for collocation or moments methods with Hermite cubic polynomials regardless of the value of Pe Δx.A new criterion is developed for all methods based on the monotonicity of the solutions throughout the domain. This criterion is more restrictive than one based only on the nodal values. All methods that are second order (Δx2) or better in truncation error give oscillatory solutions (based on the entire domain) unless Pe Δx is below a critical value. This value ranges from 2 for finite difference methods to 4·6 for Hermite, quartic, collocation methods.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 15-41 
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    Keywords: Engineering ; Engineering General
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    Notes: The governing equations for large strain analysis of elastic-plastic problems are reconsidered. An improved form of these equations is derived, which is valid for small increments of strain and large increments of rotation. Special attention is paid to the integration procedures for these equations in the deformation history. It is shown that the tangent modulus procedure for integration of the constitutive equations is conditionally stable, and that implicit methods, such as the ‘mean normal’ method, are to be preferred. A novel procedure is introduced for the treatment of nonlinear geometric effects. The performance of various element types is examined, with specific attention to effects of ‘locking’ and distortion. Several applications are discussed to illustrate the various aspects of the formulation developed ein this paper.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 97-112 
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    Keywords: Engineering ; Engineering General
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    Notes: In this paper we analyse a simple but non-trivial steady-state creeping elasto visco-plastic (Maxwell fluid) radial flow problem, paying particular attention to the effects of the boundary conditions. Solutions are obtained by integration of a governing equation on stress, using the Runge-Kutta method for initial value problems and finite differences for boundary value problems. A more general approach by the finite element method, which solves for the velocity field rather than the stress field, and which is applicable to a wide range of problems, is presented and tested using the radial flow example.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 133-139 
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    Notes: Some new formulae are presented for numerical integration over triangular regions. These formulae, which are triangularly symmetric, involve four, six, and seven integration points, respectively. They were derived by determining co-ordinates and weight factors for which polynomial functions of up to a certain degree are integrated exactly. The effectiveness of the formulae is demonstrated by applying them to the integration of five non-polynomial functions, two of which are singular within the region of integration. Results obtained with the new formulae are compared with results obtained with other, comparable formulae. It is seen that the new formulae are more accurate than some existing ones with the same numbers of points.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 156-156 
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 159-170 
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    Keywords: Engineering ; Engineering General
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    Notes: A finite element anaylysis to predict the sloshing dislacements and hydrodynamic pressures in liquid-filled tanks subjected to earthquake ground motions is presented. Finite element equations were derived using the Galerkin formulation, and the predicted results were checked against the test data, showing a good agreement between the test and finite element results.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 213-229 
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    Keywords: Engineering ; Engineering General
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    Notes: Minimum cost design of a framed structure is considered by using the mini-mas dual method. Stress and/or displacement constraints are imposed as behavioural constraints. The minimum cost design problem has a discrete objective function and discrete design variables. A sequence of approximate optimization problems in created by using the first-order Taylor series expansion for displacements with respect to the reciprocals of cross-sectional areas and moments of inertia. Each approximate problem is solved in the dual space. Two simple structural examples are given to show the appropriateness and efficiency of the proposed procedure. Approximate solutions are obtained within five structural analysis.
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    International Journal for Numerical Methods in Engineering 16 (1980), S. 149-170 
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    Notes: The purpose of the paper is two-fold: Firstly, we develop stream function--vorticity and primitive variable finite element models of two-dimensional barotropic equations that satisfy the conservation of mean vorticity, mean squared vorticity (or enstrophy) and mean kinetic energy, and scondly, we present a comparative study of a number of numerical schemes for their accuracy in phase speed as well as in amplitude calculations for a two-dimensional, time-dependent, stream function--vorticity equation for periodic fluid motion in a channel. A circular vortex is placed in a uniform channel flow of a constant velocity (U) as an initial condition. An analytic solution exists for the problem such that the vortex moves with a constant speed U conserving the shape of the vortex: \documentclass{article}\pagestyle{empty}\begin{document}$$ \begin{array}{*{20}c} {\psi \left({x,y,0} \right) = - Uy + \psi _0 \exp \left[{ - a^2 \left({x^2 + y^2 } \right)} \right] \equiv F\left({x,y} \right)} \hfill \\ {\psi \left({x,y,t} \right) = F\left({x - Ut,y} \right)} \hfill \\ \end{array} $$\end{document} where U, ψ0 a are constants. This example makes it easier to identify the cause of phase speed error, either due to linear or non-linear processes, and furthermore, to find a satisfactory scheme for time integration. The numerical schemes compared include: Arakawa Jacobian,1 Arakawa-Matsuno scheme, Galerkin finite element, Lax-Wendroff, leap-frog, and Crank-Nicholson. The effect of a variational adjustment (see Sasaki16) is also studied. Computational time, RMS errors in stream function and vorticity, and the conservation of the mean kinetic energy and enstrophy are compared at the end of 120 (one period) and 240 (two periods) time steps. The study indicates that the numerical scheme that employs finite elements in space (same as Arakawa Jacobian) and Crank-Nicholson in time is the most accurate among the schemes studied.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 123-132 
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    Keywords: Engineering ; Engineering General
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    Notes: A kinematically nonlinear analysis of unbraced, rigid-jointed, portal frames, rotationally restrained at the base and subjected to eccentric concentrated and/or uniformly distributed loads, is presented. Through this analysis the complete behaviour, including the primary path and postbuckling path (whenever it exists), is evaluated. Moreover, through parametric studies, the effects of bar slenderness ratio, load eccentricity and amount of rotational restraint are assessed. Through this method it is also possible to assess the effect of member lengths and member lengths and member bending stiffnesses.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 145-153 
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    Notes: Numerical evaluations of elliptic integral solutions of some large deflection beam and frame problems are presented. The values are given in tabular form with up to six significant figures. The numerical technique used for evaluating the elliptic integrals is described.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 156-156 
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 187-198 
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    Notes: This paper presents the details of a unified numerical algorithm and the associated computer program developed for the efficient determination of natural frequencies and modes of free vibration of structures. Both spinning and nonspinning structures with or without viscous and/or structural damping may be solved by the current procedure; in a addition, the program is capable of solving static problems with multiple load cases as well as the quadratic matric eigenproblem associated with a finite dynamic element structural discretization. A special symmetric matrix decomposition scheme has been adopted for matrix triangularization, which renders the program rather efficient and economical. Also, a novel bisection scheme is described that further accelerates the solution convergence rate, particularly for the case of repeated roots.The associated computer program adopts and out-of-core solution strategy, thereby enabling effective solutions to be achieved for large, complex, practical structures. A complete listing of the program written in FORTRAN V, for the UNIVAC 1100/82 computer, along with the source deck is available for ready use.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 271-279 
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    Notes: A FORTRAN subroutine is presented to integrate a function given only by a set of tabular values at unequal intervals. It uses the trapezoidal rule and a generalization of Simpson's rule, obtaining a conservative error estimate by comparing the two results.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 301-305 
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 309-309 
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 312-312 
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 335-346 
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    Notes: Splitting methods for time-dependent partial differential equations usually exhibit a drop in accuracy if boundary conditions become time-dependent. This phenomenon is investigated for a class of splitting methods for two-space dimensional parabolic partial differential equations. A boundary-value correction discussed in a paper by Fairweather and Mitchell for the Laplace equation with Dirichlet conditions, is generalized for a wide class of initial boundary-value problems. A numerical comparison is made for the ADI method of Peaceman-Rachford and the LOD method of Yanenko applied to problems with Dirichlet boundary conditions and non-Dirichlet boundary conditions.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 357-365 
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 445-464 
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    Notes: A singular finite element is developed for direct calculation of combined modes I and II stress intensity factors for planar rectilinear anisotropic structures subject to arbitrary loading. Twelve-node conventional elements are used in conjunction with a linear elastic fracture mechanics enrichment of the same element which is formed into a four-element macro-element. Example problems show this formulation to be exceptionally accurate and results are presented for a variety of modern fibre-reinforced composites in simple mode I extension and in mixed mode I and II situations. In addition, it is shown that the meshes for accurate results are relatively coarse and thus calculations are quite economical.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 477-477 
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    International Journal for Numerical Methods in Engineering 17 (1981) 
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 527-541 
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    Notes: This paper is concerned with conventional and mixed finite element analysis of large deflection bending and free vibration of axisymmetric circular plates including shear deformation. Conventional and mixed finite element formulations are presented. Numerical results are included for isotropic as well as orthotropic, circular and annular plates under various edge conditions and loadings.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 601-613 
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    Notes: The general problem of optimum design of trusses composed of tubular elements requires the determination of cross-sectional dimensions for each element which satisfy a set of side constraints on those dimensions as well as Euler and local buckling constraints. A formulation is presented which eliminates the necessity to use mathematical programming methods for the determination of feasible cross-sectional dimensions. The minimization problem is shown to be expressible in terms of area variables only, with each area subject to bounds which are functions of truss stiffness but which may be obtained by explicit analysis of the element ‘desing space’ for any design. This‘direct’ formulation is completely general and compatible with any minimization algorithm. The formulation also leads to a simple and efficient recursive procedure for producing near-optimal fully-constrained designs. Several examples illustrate results obtained by both the direct and recursive procedures.
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    International Journal for Numerical Methods in Engineering 17 (1981) 
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 707-718 
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    Notes: The use of quasi-Newton methods is studied for the solution of the nonlinear finite element equations that arise in the analysis of incompressible fluid flow. An effective procedure for the use of Broyden's method in finite element analysis is presented. The quasi-Newton method is compared with the commonly employed successive substitution and Newton-Raphson procedures, and it is concluded that the use of Broyden's method can constitute an effective solution strategy.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 747-771 
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    Notes: This paper discusses computational strategies for elastic-plastic-creep behaviour. These computational strategies, based on the tangent stiffness and initial strain techniques, include solution algorithms, modelling techniques and constitutive relations.A predictor-corrector iterative and non-iterative scheme is presented for combined plasticity and creep. This scheme has been incorporated into the three-dimensional, isoparametric element, module (HEX) of the Grumman PLANS finite element program for nonlinear analysis and used for the problems presented in this paper.The concept of modelling for inelastic behaviour is demonstrated by introducing a variable set of inelastic integration points within a finite element at which stresses and strains are monitored.In order to perform a meaningful analysis, one must understand and justify the employed constitutive relations. To this end, work at Oak Ridge National Laboratory in justifying constitutive relations for high-temperature nuclear reactor components is referred to.An analysis of a test model of a nuclear reactor inlet nozzle operating at high temperatures is presented to demonstrate some of the computational strategies discussed.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 1407-1426 
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    Keywords: Engineering ; Engineering General
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    Notes: The displacement and strain fields of thin-walled pretwisted beams are prescribed in terms of generalized displacements for extension, bending, torsion and warping. Differential equations and boundary conditions are obtained from the elastic potential energy functional without assuming coincidence of the beam axis with any of the structural axes. This procedure gives a unique consistent definition of sectional moments and generalized forces. Some simple explicit formulae are derived for homogeneous tension-torsion. For the general case a computer code is developed on the basis of discretized generalized displacements and a modified energy functional, devised to obtain consistent lengthwise variation of the stresses and a unique decomposition of the torsional moment. Examples show agreement with analytical results for cylindrical beams and illustrate the various coupling effects for beams with pretwist. They also demonstrate the usefulness of the explicit formulae for homogeneous tension-torsion.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 1443-1453 
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    Notes: A computationally efficient and accurate solution technique for large-order eigenvalue problems with small to medium bandwidth is presented. The algorithm - called the Sub-Polynomial Iteration (SPI) method - solves for the eigenvalues and corresponding eigenvectors. directly without any transformation to the standard form. The method is an efficient combination of several separate techniques including Sturm sequence, Lagrangian polynomial interpolation, inverse iteration with shift and Gram-Schmidt orthogonalization. Computer run times for a set of sample solution indicate the efficiency of the SPI method.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 1647-1657 
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    Notes: A method for solving boundary value problems for thin plate flexure as described by Kirchhoff's theory is proposed. An integral formulation leads to a system of boundary integral equations involving values of deflection, slope, bending moment and transverse shear force along the edge. A discretization leading to a matrix formulation is proposed. To solve problems with inner conditions in the plate domain, an elimination of boundary unknowns proves successful. The degenerate case where the boundary is free (which leads to a non-invertible matrix) is investigated. Three examples illustrate the efficiency of the method.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 1740-1742 
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 1743-1748 
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 1779-1789 
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    Notes: The following work proposes the use of a special description-language for producing input data of finite element programs. The programs now used require a detailed description of the structure to be analysed, and they require it in a form which is unfavourable to the user and which promotes errors. Therefore, a language was designed which allows a short and compact description of the structure. This description is then automatically transformed into the input data. In this paper, the design process and the characteristics of the language are presented. Some comments on its implementation, that is on the development of a special preprocessor, are made. As target system, the finite element program SAP IV has been chosen. Finally, we want to present an example of the improvements achieved by the use of this language and the SAP IV preprocessor, respectively.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 1791-1810 
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    Notes: Two alternative hybrid-stress-based functionals are examined for the incremental elastic-plastic static analysis of single layer plates. Material nonlinear effects are incorporated via the initial-stress approach so that an equivalent nodal force vector is defined and the stiffness remains constant throughout the incremental loading. The alternative functionals differ in the incremental stress which is assumed to satisfy equilibrium; in the first, it is the actual stress increment, and in the second it is the elastic stress increment. Results are presented for two example problems, and comparisons of the alternative functionals and plausible iteration schemes are given. The effects of variation of pertinent solution parameters are also shown. A 4-node hybrid-stress plate element based on a Mindlin-type displacement field is used for most cases; however, limited results are also presented using an 8-node plate element, thus permitting comparisons of the relative efficiencies of the two elements.
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    International Journal for Numerical Methods in Engineering 17 (1981), S. 1888-1889 
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    International Journal for Numerical Methods in Engineering 18 (1982) 
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 41-66 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A system for describing three-dimensional surfaces in a form suitable for finite element analysis is described. The system makes extensive use of real-time interactive computer graphics techniques for both input and display. Discrete transfinite mappings are used as the mathematical basis for the surface representation. The mathematical basis and the reasons for choosing this form of representation are discussed. Explicit forms of the mappings based on Lagrange polynomial interpolation functions are presented. Finally, the interactive graphics procedures for defining finite element meshes are described.
    Additional Material: 21 Ill.
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 99-109 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Two highly accurate implicit Padé approximations to the transient heat conduction equation are investigated using the conjugate gradient method to solve, for the temperatures. The accuracy and stability of the approximations are discussed and numerical examples are presented showing the relative performance. Comparisons with the Crank-Nicolson method are also presented.
    Additional Material: 4 Ill.
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  • 95
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. i 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 96
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 195-210 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A clearer insight into the ‘shear locking’ phenomenon, which appears in the development of C0 continuous element using shear-flexible or penalty type formulations, is obtained by a careful study of the Timoshenko beam element. When a penalty type argument is used to degenerate thick elements to thin elements, the various approximations of the shear related energy terms act as different types of constraints and, depending on the formulation, two types of constraints which are classified as true or spurious may emerge. The spurious constraints, where they exist, are responsible for the ‘shear locking’ phenomenon, and its manifestation and elimination is demonstrated in a very simple example. The source of difficulty is shown to be the mathematical operations involved in the various shape function definitions and subsequent integration of functionals. It is seen that formulations that ensure only true constraints in the extreme penalty limit cases display far superior performance in the thick element situation as well, and thus guidelines for the development of efficient elements are drawn. A similar type of behaviour is observed in a shallow curved beam element and here ‘inplane locking’ can be eliminated by selective integration to obtain an improved curved beam element. However, ‘inplane locking’ does not cause a spurious constraint as the error quickly vanishes with the reduction of element size for a reasonable radius of curvature conforming with shallow shell theory.
    Additional Material: 6 Ill.
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  • 97
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 321-322 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
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  • 98
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 323-341 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The rate of convergence of the finite element method is a function of the strategy by which the number of degrees-of-freedom are increased. Alternative stragegies are examined in the light of recent theoretical results and computational experience.
    Additional Material: 15 Ill.
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  • 99
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 381-396 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Upwind finite element schemes remove spurious oscillations that occur in the solution of diffusion convection equations. Up to now these schemes lose part of their accuracy when the Peclet is large. As an improvement, it is proposed to move the integration nodes along the ‘streamlines’ before evaluating the elementary convection matrices. The displacements of the nodes along the streamlines, which are one-dimensional manifolds, are calculated analogously to well-known one-dimensional formulae. The last section of this paper illustrates this new method with the help of four examples which show its validity.
    Additional Material: 10 Ill.
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  • 100
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    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 314-320 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Quarter-point elements are used very frequently for fracture mechanics computations, because the quarter-point technique yields the required singular interpolation without any modification to existing software. This advantage is particularly significant for three-dimensional stress intensity factor computations because of the difficulty of implementing other techniques. However, in practical 3-D applications, the crack front is usually curved, and this note proves that a crack front distortion leads to a negative Jacobian in the region surrounding the crack front. The numerical difficulties to be expected depend on the aspect ratio of the elements.
    Additional Material: 4 Ill.
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