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  • 1
    Electronic Resource
    Electronic Resource
    A mixed least squares method for solving problems in linear elasticity: formulation and initial results (1997)
    Springer
    Computational mechanics 19 (1997), S. 317-326 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In this paper a mixed least squares finite element method for solving problems in linear elasticity is proposed. The developed numerical technique allows the use of separate unknowns for displacements and stresses, discontinuous interpolation functions for displacements, and the resulting linear system has a symmetric and positive definite coefficient matrix. The approximate solution of the linear elasticity problem is obtained by minimization of a least squares functional based on the constitutive equations and equations of equilibrium. The proposed method is implemented in an original computer code written in C programming language. Its performance is tested on classical examples from theory of elasticity with well-known exact analytical solutions. Results from the implementation of a constant displacement-bilinear stress element and bilinear displacement-bilinear stress element are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660050180
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  • 2
    Electronic Resource
    Electronic Resource
    Object-Oriented Approach to Hyperelasticity (1999)
    Springer
    Engineering with computers 15 (1999), S. 2-11 
    Details
    ISSN: 1435-5663
    Keywords: Key words.Constitutive driver; Finite element programming; Hyperelasticity; Object-oriented programming; Tensor analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Technology
    Notes: Abstract. This paper describes the application of an Object-Oriented Paradigm (OOP) to the implementation of a hyperelastic constitutive driver. The C11 programming language used in our implementation leads to an efficient and readable program. It will be shown that object-oriented implementation naturally follows from analytical developments in isotropic hyperelasticity. Examples of classes developed and results from a number of large deformation hyperelastic numerical test are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s003660050002
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  • 3
    Electronic Resource
    Electronic Resource
    Analysis and calibration of a three-invariant plasticity model for granular materials (1989)
    Springer
    Archive of applied mechanics 59 (1989), S. 253-266 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Zusammenfassung Übersicht: Über Resultate, die mit der Charakterisierung der Eigenschaften von granularen Stoffen in schwachen Schwerefeldern bzw. dem der Erde bei sehr kleinen Spannungen zusammenhängen, wird ein kurzer Überblick gegeben. Beschrieben wird ein mit drei Spannungsinvarianten formuliertes plastisches Stoffgesetz, welches dem von Lade entwickelten Modell ähnlich ist. Weiterhin wird ein inverses Identifikationsschema diskutiert, bei dem mit analytische Methoden benutzt werden, um die Parameter des Stoffmodells zu gewinnen.
    Notes: Summary In this paper we briefly review issues related to the characterization of properties of granular materials subjected to micro-gravity and one-gravity conditions at very low effective stress levels. We describe the development of a three-invariant plasticity model that resembles the model devised by Lade. An inverseidentification scheme where the analysis tools are used to extract constitutive model parameters from experiments is also discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00532255
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  • 4
    Electronic Resource
    Electronic Resource
    Finite element simulation of localized plastic deformation (1991)
    Springer
    Archive of applied mechanics 61 (1991), S. 305-317 
    Details
    ISSN: 1432-0681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Übersicht Die Konstruktion eines Algorithmus, der im Zusammenhang mit der Methode der Finiten Elemente örtliche plastische Verformungen als Folge von Materialentfestigung und/oder nichtassoziiertem plastischen Fließen erfaßt, wird beschrieben. Die inkrementellen Gleichungen ergeben sich aus der Verwendung eines impliziten Integrationsverfahrens. In jedem Inkrement wird ein sorgfältig entwickeltes, modifiziertes Newton-Iterationsverfahren verwendet, dessen erste Lösungsabschätzung auf einer diagnostischen Analyse des Verzweigungsproblems beruht. Am Beispiel einer Böschungsstabilitätsungtersuchung wird gezeigt, daß der Algorithmus erfolgreich ist, wenn das verwendete Finite-Elemente-Netz so ausgerichtet ist, daß die Elementseiten der erwarteten Versagenzone folgen.
    Notes: Summary A rational finite element algorithm for capturing localized plastic deformation due to softening and/or non-associated plastic flow is devised. The incremental relations are based on implicit integration. In each increment it is important to use a carefully designed modified Newton iteration procedure in conjunction with a start solution whose calculation is based on a diagnostic bifurcation analysis. The algorithm performs successfully for a finite element mesh that is biased in the sense that the element sides are prealigned with the anticipated localization zone which is demonstrated for a slope stability problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00787599
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  • 5
    Electronic Resource
    Electronic Resource
    Applicability of existing models to predict the behavior of replicas of natural fractures of welded tuff under different boundary conditions (1998)
    Springer
    Geotechnical and geological engineering 16 (1998), S. 79-128 
    Details
    ISSN: 1573-1529
    Keywords: joint ; fracture ; constitutive modeling ; shear test ; boundary conditions.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Notes: Abstract Assessing the shear behavior of intact rock and rock fractures is an important issue in the design of a potential nuclear waste repository at Yucca Mountain, Nevada. Cyclic direct shear experiments were conducted on replicas of three natural fractures and a laboratory-developed tensile fracture of welded tuff. The tests were carried out under constant normal loads or constant normal stiffnesses with different initial normal load levels. Each test consisted of five cycles of forward and reverse shear motion. In this paper, the results of the constant normal load shear experiments are analyzed using several constitutive models proposed in the rock mechanics literature for joint shear strength, dilatancy, and joint surface damage. It is shown that some of the existing models have limitations. New constitutive models are proposed and are included in a mathematical analysis tool that can be used to predict joint behavior under various boundary conditions. © Rapid Science Ltd. 1998
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008886106337
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  • 6
    Electronic Resource
    Electronic Resource
    Fracture and size effect characters of cemented sand (1999)
    Springer
    International journal of fracture 95 (1999), S. 405-433 
    Details
    ISSN: 1573-2673
    Keywords: Fracture mechanics ; cemented soil ; brittle behavior.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In the past three decades, fracture mechanics (FM) of brittle and quasibrittle materials have developed mainly in concrete applications and has yet to gain its rightful place in the geotechnical field. There are many examples in the geotechnical literature, especially those related to brittle and stiff soils, where traditional approaches of analysis have proven to be inadequate. While geotechnical problems are inherently complex in nature, the use of computational fracture mechanics have been shown to provide a powerful tool that could be used to investigate and solve many application problems in geomechanics and geotechnical engineering. This paper addresses the application of FM concepts and theories in analysis of cemented soils. In addition to theoretical aspects, experiments were conducted to evaluate the application of FM to cemented soils. Three-point bending beam tests with crack mouth opening displacements (CMOD) conducted on cemented sand samples showed that fracture parameters, such as CMOD, indeed could play an important role in investigation of such soils. Using this unambiguous material parameter, field engineers might have a reliable measure that could prove to be useful in stability assessment of earth structures and soil structure system. By studying size effect on cemented sand, strong relationship was established between critical CMOD and failure, which might be a very useful index and analysis tool in geotechnical engineering practice.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018637309530
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  • 7
    Electronic Resource
    Electronic Resource
    Implicit integration in soil plasticity under mixed control for drained and undrained response (1992)
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 16 (1992), S. 737-756 
    Details
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: An algorithm is outlined for the implicit integration of isotropic plasticity models for an arbitrary choice of mixed stress and strain control variables. Drained as well as undrained behaviour is considered. The closest-point-projection method in conjunction with a completely strain-driven format is used in a core algorithm. In the drained case strain response variables are determined via iterations to satisfy equilibrium of prescribed and calculated stresses that correspond to the strain response variables. In the undrained case, on the other hand, strains and pore pressure are determined via simultaneous iterations to satisfy equilibrium and the incompressibility condition. The algorithm is applied to a new generalized cam-clay model, and various iteration techniques are assessed. In particular, Newton iterations which employ the matrix of algorithmic tangent stiffness moduli are shown to compete favourably with more conventional methods.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nag.1610161004
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  • 8
    Electronic Resource
    Electronic Resource
    Procedure, selection and application of plasticity models for a soil (1981)
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 295-311 
    Details
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A five-step procedure involving mathematical formulation, identification and determination of parameters and verification is presented for development and selection of appropriate and reliable constitutive law(s) for geologic media. Comprehensive analyses are performed toward determination of an appropriate law for a (artificial) soil. The most suitable model is obtained by critical evaluation of four different plasticity models; here verification and comparisons of predictions with observations from laboratory tests, and with those from two boundary value problems are used as the basis of the selection. The model thus selected is found to be appropriate for applications to relevant practical problems.
    Additional Material: 15 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nag.1610050306
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  • 9
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    Measurement of Swelling, Hydraulic Conductivity, and Shear Strength in a Multistage Triaxial Test (1980)
    Wiley
    Details
    Publication Date: 1980-11-01
    Print ISSN: 0361-5995
    Electronic ISSN: 1435-0661
    Topics: Geosciences , Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Published by Wiley
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  • 10
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    Lunar surface: Dust dynamics and regolith mechanics (2007)
    American Geophysical Union
    Details
    Publication Date: 2007-06-26
    Print ISSN: 8755-1209
    Topics: Geosciences
    Published by American Geophysical Union
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