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  • Articles  (53)
  • finite element method  (53)
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  • Articles  (53)
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  • Springer  (53)
  • American Institute of Physics (AIP)
  • Cambridge University Press
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  • 1
    Electronic Resource
    Electronic Resource
    Crack propagation in a functionally graded plate under thermal shock (2000)
    Springer
    Archive of applied mechanics 70 (2000), S. 377-386 
    Details
    ISSN: 1432-0681
    Keywords: Key words Curved crack ; compositional profile ; thermal shock ; functionally graded material ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary Thermal cracking in a ceramic/metal functionally graded plate is discussed. When a functionally graded plate is cooled from high temperature, curved or straight crack paths are experimentally observed on the ceramic surface. One of the reasons that make the crack paths to differ are the thermal or mechanical conditions. In order to clarify the influence of these conditions on the crack path, the crack propagation is simulated using finite element method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004199900069
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  • 2
    Electronic Resource
    Electronic Resource
    Modelling the fracture of concrete under mixed loading (2000)
    Springer
    International journal of fracture 103 (2000), S. 293-310 
    Details
    ISSN: 1573-2673
    Keywords: Cohesive crack models ; concrete ; finite element method ; fracture ; mixed mode ; numerical analysis.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A simple and efficient numerical procedure for mixed mode fracture of quasibrittle materials is shown: This technique predicts crack trajectories as well as load-displacement or load-CMOD responses. The model is based on the cohesive crack concept and uses the local mode I approach. Numerical results agree quite well with three experimental sets of mixed mode fracture of concrete beams; one from Arrea and Ingraffea, another from García, Gettu and Carol and from a nonproportional loading by the authors. In constrast to more sophisticated models, this method offers two major advantages: it requires only material properties measured by standardized methods and it can easily be implemented with general multipurpose finite element codes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007687025575
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  • 3
    Electronic Resource
    Electronic Resource
    Viscoelastic Stress Analysis of a Strip Plate under Moving Contact with Dry Friction (2000)
    Springer
    Mechanics of time-dependent materials 4 (2000), S. 43-56 
    Details
    ISSN: 1573-2738
    Keywords: dry friction ; finite element method ; moving contact ; photoviscoelasticity ; viscoelasticity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Moving contact problems in a viscoelastic body with a rigidindentor are often seen in an industrial field. An evaluation of thetime-temperature-dependent stress and strain behavior around a contactregion is required in order to make clear the fundamental mechanism ofthe local fracture and wear on the contact surface of the viscoelasticbody under moving loads with dry friction. No analyses have yet beenpublished about the stress/strain of the viscoelastic moving contactproblem with the dry friction using both an experimental and a numericalmethod. The authors discuss an experimental and a numerical model forthe analysis of not only the viscoelastic stress and strain, but alsodeformations, taking into consideration the dry friction. Animage-processing-aided photoviscoelastic technique is applied foranalyzing the principal stress and strain behavior near the contactregion. Also, a two-dimensional plane stress model which consists of aviscoelastic strip and a rigid sliding cylinder is adopted in a finiteelement analysis of the same problem. The time-dependent stress andstrain and the coefficient of dry friction are successfully evaluated byexperimental and numerical methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009879628439
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  • 4
    Electronic Resource
    Electronic Resource
    Finite element analysis on evolution process for damage microcrack healing (2000)
    Springer
    Acta mechanica Sinica 16 (2000), S. 254-263 
    Details
    ISSN: 1614-3116
    Keywords: microcrack ; damage healing ; microcrack splitting and spheroidization ; surface diffusion ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Based on the thermal kinetic and mass conservation, a series of controlling equations for the finite element are derived and related programs are developed to simulate the damage microcrack healing process controlled by surface diffusion. Two kinds of typical models for microcrack splitting are proposed, i.e., the grain boundary energy existing on the crack surface and residual stresses applying on the crack surface. And the conditions of microcrack splitting in the two models are given as a function of the microcrack aspect ratio. The microcrack with traction-free surfaces will directly evolve into a spheroid.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02487666
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  • 5
    Electronic Resource
    Electronic Resource
    A contact searching algorithm for contact-impact problems (2000)
    Springer
    Acta mechanica Sinica 16 (2000), S. 374-382 
    Details
    ISSN: 1614-3116
    Keywords: contact impact ; contact search ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract A new contact searching algorithm for contact-impact systems is proposed in this paper. In terms of the cell structure and the linked-list, this algorithm solves the problem of sorting and searching contacts in three dimensions by transforming it to a retrieving process from two one-dimensional arrays, and binary searching is no longer required. Using this algorithm, the cost of contact searching is reduced to the order ofO(N) instead ofO(Nlog2 N) for traditional ones, whereN is the node number in the system. Moreover, this algorithm can handle contact systems with arbitrary mesh layouts. Due to the simplicity of this algorithm it can be easily implemented in a dynamic explicit finite element program. Our numerical experimental result shows that this algorithm is reliable and efficient for contact searching of three dimensional systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02487690
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  • 6
    Electronic Resource
    Electronic Resource
    Parallel linear multigrid by agglomeration for the acceleration of 3D compressible flow calculations on unstructured meshes (2000)
    Springer
    Numerical algorithms 24 (2000), S. 309-332 
    Details
    ISSN: 1572-9265
    Keywords: computational fluid dynamics ; Navier–Stokes equations ; finite element method ; finite volume method ; multigrid algorithm ; parallel computing ; 76N10 ; 76M10 ; 65M55 ; 65Y05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract In this paper, we report on our recent efforts concerning the design of parallel linear multigrid algorithms for the acceleration of 3-dimensional compressible flow calculations. The multigrid strategy adopted in this study relies on a volume agglomeration principle for the construction of the coarse grids starting from a fine discretization of the computational domain. In the past, this strategy has mainly been studied in the 2-dimensional case for the solution of the Euler equations (see Lallemand et al. [6]), the laminar Navier–Stokes equations (see Mavriplis and Venkatakrishnan [12]) and the turbulent Navier–Stokes equations (see Carré [1], Mavriplis [10] and Francescatto and Dervieux [4]). A first extension to the 3-dimensional case is presented by Mavriplis and Venkatakrishnan in [13] and more recently in Mavriplis and Pirzadeh [11]. The main contribution of the present work is twofold: on the one hand, we demonstrate the successful extension and application of the multigrid by a volume agglomeration principle to the acceleration of complex 3-dimensional flow calculations on unstructured tetrahedral meshes and, on the other hand, we enhance further the efficiency of the methodology through its adaptation to parallel architectures. Moreover, a nontrivial aspect of this work is that the corresponding software developments are taking place in an existing industrial flow solver.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019161730732
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  • 7
    Electronic Resource
    Electronic Resource
    Bending of a Composite Material Strip with Curved Structure in the Geometrically Nonlinear Statement (2000)
    Springer
    Mechanics of composite materials 36 (2000), S. 459-464 
    Details
    ISSN: 1573-8922
    Keywords: composite strip ; curved structure ; bending ; geometrical nonlinearity ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract To date, bending problems for strips or plates made of composite materials with curved structure have been investigated only in the linear statement. However, in many cases, the necessity arises to investigate the corresponding bending problems in the geometrically nonlinear statement. Therefore, in the present paper, some bending problems for a composite strip with a periodically curved structure is investigated in such a statement using the exact nonlinear equations of elasticity theory in Lagrangian coordinates. The numerical results are obtained by employing the FEM with the use of the Newton-Raphson and the Modified Newton-Raphson algorithms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006702515478
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  • 8
    Electronic Resource
    Electronic Resource
    Methods of finite element analysis of arbitrary buckling forms of sandwich plates and shells (2000)
    Springer
    Mechanics of composite materials 36 (2000), S. 277-286 
    Details
    ISSN: 1573-8922
    Keywords: stability theory ; sandwich shell ; arbitrary geometry ; finite element method ; linearized problem ; geometrically nonlinear problem ; arbitrary buckling form
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Two statements of the problem of arbitrary buckling forms (BFs) (including synphasic, antiphasic, mixed flexural, flexural-shear, and shear forms in the tangential directions) of general-form sandwich shells and two schemes of its solution by the FEM are given. The first of the schemes is based on the use of refined linear equations for determination of the precritical stress-strain state and linearized equations of neutral equilibrium with all parametric addends necessary to determine the critical loads and reveal the possible BFs. The second one uses the general geometrically nonlinear relations of elasticity theory for investigation of the whole deformation process up to buckling in terms of a modified incremental (stepwise) statement of the problem. Examples of solution of particular problems are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02262806
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  • 9
    Electronic Resource
    Electronic Resource
    Comprehensive mathematical model of microcirculatory dynamics (II)—Calculation and the results (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 579-584 
    Details
    ISSN: 1573-2754
    Keywords: influence line method ; analytical method ; finite element method ; microcirculatory dynamics ; O368 ; O242.1
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The mathematical model described in Part I was solved using “influence line method” combining analytical method and finite element method. Many important aspects of microcirculatory dynamics were analyzed and discussed. It show that interstitial fluid pressure changes its sign twice within one arteriolar vasomotion period and it is therefore not important that interstitial fluid pressure is a little higher or lower than atmospheric pressure; arteriolar vasomotion can periodically result in lymph formation and interstitial total pressure plays an important role in this procedure; local regulation of microcirculation can meet metabolic need some extent in the form of dynamic equilibrium. The property of arteriole as a “resistant vessel” and the efficiency of microvascular network as heat exchanger are also shown. These results show that the comprehensive mathematical model developed in Part I is physiologically resonable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459040
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  • 10
    Electronic Resource
    Electronic Resource
    A new method for stress analysis of a cyclically symmetric structure (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 87-94 
    Details
    ISSN: 1573-2754
    Keywords: cyclically symmetric structure ; finite element method ; stress analysis ; O175.14
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, a computational method for finite element stress analysis of a cyclically symmetric structure subjected to arbitrary loads is provided. At first, using discrete Fourier transformation technique, the complete structure is analyzed by considering only one sector with appropriate complex constraints on its boundary with the adjacent sectors. Next, an imaginary structure which is composed of two identically overlapping sectors is constructed, and that the complex constraints mentioned above can be equivalently replaced by a set of real constraints on this imaginary struture is proved. Therefore, the stress analysis of a cyclically symmetric structure can be solved conveniently by most of finite element programs.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458544
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  • 11
    Electronic Resource
    Electronic Resource
    Penalty finite element method for nonlinear dynamic response of viscous fluid-saturated biphase porous media (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 1381-1389 
    Details
    ISSN: 1573-2754
    Keywords: porous media ; viscous fluid ; dynamic response ; finite element method ; O347
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The governing equations as well as boundary and initial conditions for nonlinear dynamic response problems of viscous fluid-saturated biphase porous medium model, based on mixture theory, are presented. With Galerkin weighted residual method the corresponding nonlinear dynamic penalty finite element equation, in which the dependencies of volume fraction and permeation coefficients on deformation are included, is obtained. The iteration solution method of the nonlinear system equation is also discussed. As a numerical example, the dynamic response of a porous medium column under impulsive loading action is analyzed with the developed finite element program. The numerical results demonstrate the efficiency and correctness of the method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459216
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  • 12
    Electronic Resource
    Electronic Resource
    F E M analysis of delamination buckling in composite plates and shells (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 341-346 
    Details
    ISSN: 1573-2754
    Keywords: buckling ; composites ; delamination ; finite element method ; shells ; TB332 ; O242.21 ; O346.5 ; TG335.81
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The purpose of the present study is to develop a new finite element method for analyzing buckling of delaminated composite plates and shells. This is achieved by establishing a new finite element called the reference-surface element. By use of the compatibility condition under Mindlin assumptions, the formulation of the reference-surface element was derived from whichever plate-element or shell-element being capable of analyzing composite plates and shells. This method assures a reasonable description of displacement field and the satisfaction of compatibility conditions for delamination problem. Numerical results for linear delamination buckling of axially compressed shells are presented to validate the method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459013
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  • 13
    Electronic Resource
    Electronic Resource
    The finite element method based on interpolating with wavelet basis function (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 13-18 
    Details
    ISSN: 1573-2754
    Keywords: wavelet analysis ; finite element method ; nonconforming analysis ; CLC number ; O242.21
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The compactly supported wavelet basis functions are introduced into the construction of interpolating function of traditional finite element method when analyzing the problems with high gradient, and the traditional, interpolating method is modified. The numerical stability of the new interpolating pattern is discussed and the convergence of the new method is also discussed by patch test analysis. The additional freedom of the new interpolating pattern is eliminated by static condensation method. Finally, the wavelet finite element formulations based on variational principles are put forward.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458534
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  • 14
    Electronic Resource
    Electronic Resource
    Numerical Simulation of the Influence of Rough Bone-Callus Interface on the Healing of Fractured Bone (2000)
    Springer
    Mechanics of composite materials 36 (2000), S. 373-378 
    Details
    ISSN: 1573-8922
    Keywords: finite element method ; poroelasticity ; cellular stimulation ; fracture healing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The process of healing of fractured bone is known to be influenced by the mechanical environment and the loads exerted by physical activity of the patient or otherwise. We compute mechanical fields in the soft connective tissue of the healing fracture using Biot's poroelasticity model and a finite element (FE) method for low-frequency loading. A two-scale FE framework is used to model effects of the rough bone-callus contact surface. We look at the difference the interface roughness makes with respect to different possible mechanostimulating agents.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026643016461
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  • 15
    Electronic Resource
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    Finite Element Modelling and the Experimental Verification of Superplastic Forming (1999)
    Springer
    Advanced performance materials 6 (1999), S. 149-159 
    Details
    ISSN: 1572-8765
    Keywords: super plastic forming ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract FEM analysis has proved to be a powerful investigative tool capable of encompassing all the aspects that characterise an SPF process. However, despite the high potential of FEM programs they do not allow one to directly and suitably obtain the thickness of a sheet product for high deformation values, as commonly occurs in SPF processes. Many papers have been published on finite element analysis of S.P.F. process but the question of calculus accuracy in thicknesses of a sheet product has not been directly investigated. This problem has been already considered by the authors in a previous study which proposed an algorithm to determine thicknesses for a specific application. The software set up starts out with the results of the FEM modelling, keeps track of the “deformation” undergone by each element of the mesh and calculates to a good approximation the thicknesses at the end of the forming. Although the original version of the algorithm could only be used for the application studied an updated version is introduced in this study that can be used for any case. In other words, the software generates the thickness profile at the end of the analysis independently of technological set up, item shape and type of simulation (3D and 2D). The proposed algorithm was tested with reference to the superplastic forming of an item of simple geometry beginning with a thin circular plate blocked at the edges and put under constant hydrostatic pressure on one side. The test material, made superplastic by means of a series of repeated laminations, was characterised using an alternative method to the traditional tension test. The results of the experiments are in good accordance with the numerical predictions both in terms of thickness distribution and forming times.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008731200789
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  • 16
    Electronic Resource
    Electronic Resource
    Stabilization of algebraic multilevel iteration methods; additive methods (1999)
    Springer
    Numerical algorithms 21 (1999), S. 23-47 
    Details
    ISSN: 1572-9265
    Keywords: multilevel method ; stabilization ; finite element method ; additive method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract There exist two main versions of preconditioners of algebraic multilevel type, the additive and the multiplicative methods. They correspond to preconditioners in block diagonal and block matrix factorized form, respectively. Both can be defined and analysed as recursive two-by-two block methods. Although the analytical framework for such methods is simple, for many finite element approximations it still permits the derivation of the strongest results, such as optimal, or nearly optimal, rate of convergence and optimal, or nearly optimal order of computational complexity, when proper recursive global orderings of node points have been used or when they are applied for hierarchical basis function finite element methods for elliptic self-adjoint equations and stabilized in a certain way. This holds for general elliptic problems of second order, independent of the regularity of the problem, including independence of discontinuities of coefficients between elements and of anisotropy. Important ingredients in the methods are a proper balance of the size of the coarse mesh to the finest mesh and a proper solver on the coarse mesh. This paper presents in a survey form the basic results of such methods and considers in particular additive methods. This method has excellent parallelization properties.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019136808500
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  • 17
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    Finite element analysis of wave propagation in fluid-saturated porous media (1999)
    Springer
    Applied mathematics and mechanics 20 (1999), S. 1331-1341 
    Details
    ISSN: 1573-2754
    Keywords: porous media ; wave propagation ; finite element method ; O347
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract With the porous media model based on mixture theory, a finite element formulation for dynamic transient analysis of fluid-saturated two-phase porous media is presented. Time integration of the equation, deduced with penalty method, can be performed by using implicit or explicit method. One-dimensional wave propagation in column under step loading and impulsive loading are analyzed with the developed finite element program. The obtained curves of displacements, velocities, effective stresses and pore pressures against time demonstrate the existence of wave propagation phenomena, which coincide with the theoretical results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459166
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  • 18
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    A spectral streamline diffusion finite element coupling method of unsteady transport equation in the field of neutron logging (1999)
    Springer
    Applied mathematics and mechanics 20 (1999), S. 739-747 
    Details
    ISSN: 1573-2754
    Keywords: neutron logging ; transport equation ; finite element method ; streamline diffusion ; O241.8
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, a new numerical method, the coupling method of spherical harmonic function spectral and streamline diffusion finite element for unsteady Boltzmann equation in the neutron logging field, is discussed. The convergence and error estimations of this scheme are proved. Its applications in the field of neutron logging show its effectiveness.
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    URL: http://dx.doi.org/10.1007/BF02454895
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  • 19
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    Comparative analysis of two algorithms for numerical solution of nonlinear static problems for multilayer anisotropic shells of revolution. 1. Account of transverse shear (1999)
    Springer
    Mechanics of composite materials 35 (1999), S. 241-248 
    Details
    ISSN: 1573-8922
    Keywords: shells of revolution ; anisotropy ; numerical methods ; finite element method ; linear elasticity ; transverse shear
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The discussion focuses on two numerical algorithms for solving the nonlinear static problems of multilayer composite shells of revolution, namely the algorithm based on the discrete orthogonalization method and the algorithm based on the finite element method with a local linear approximation in the meridian direction. The material of each layer of the shell is assumed to be linearly elastic and anisotropic (nonorthotropic). A feature of this approach is that the displacements of the face surfaces of the shell are chosen as unknown functions, i.e., the functions which allows us to formulate the kinematic boundary conditions on these surfaces. As an example, a cross-ply cylindrical shell subjected to uniform axisymmetric tension is considered. It is shown that the algorithms elaborated correctly describe the local distribution of the stress tensor over the shell thickness without an expensive software based on the 3D anisotropic theory of elasticity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02257255
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  • 20
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    Numerical realization of the asymptotic averaging method for thermoelastic multidirectional composites (1999)
    Springer
    Mechanics of composite materials 35 (1999), S. 307-314 
    Details
    ISSN: 1573-8922
    Keywords: carbon-carbon composite ; spatial reinforcement ; asymptotic averaging method ; thermoelasticity ; periodicity cell ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A zero approximation of the asymptotic averaging method is applied to investigate the structural stresses in the structures of spatially reinforced composite materials subjected to mechanical loading and high-temperature heating. A carbon-carbon composite material reinforced with anisotropic fibers in three mutually orthogonal directions in the ratio 1∶1∶1 is considered. According to the averaging method, the local functions, namely the components of the tensors of elastic moduli and thermoelasticity in a zero approximation, must be determined by solving a set of problems for a periodicity cell. The effective thermoelastic constants of the composite are found by averaging the local functions obtained over the periodicity cell. To calculate the structural stresses in constructions, the periodic local functions and the field of macrostrains, which is obtained from the solution of the averaged boundary value problem, must be known. The problems posed for the periodicity cell are solved by the method of finite elements. The average values of the local functions and the measures of deviation from them are examined for various temperatures and volume fractions of fibers of two different cross section shapes.
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    URL: http://dx.doi.org/10.1007/BF02259719
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  • 21
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    Non Uniform Multiresolution Method for Optical Flow and Phase Portrait Models: Environmental Applications (1999)
    Springer
    International journal of computer vision 33 (1999), S. 29-49 
    Details
    ISSN: 1573-1405
    Keywords: non uniform multiresolution ; optical flow ; non quadratic regularization ; finite element method ; adaptive mesh ; phase portrait ; flow pattern classification ; ocean and atmospheric circulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract In this paper we define a complete framework for processing large image sequences for a global monitoring of short range oceanographic and atmospheric processes. This framework is based on the use of a non quadratic regularization technique for optical flow computation that preserves flow discontinuities. We also show that using an appropriate tessellation of the image according to an estimate of the motion field can improve optical flow accuracy and yields more reliable flows. This method defines a non uniform multiresolution approach for coarse to fine grid generation. It allows to locally increase the resolution of the grid according to the studied problem. Each added node refines the grid in a region of interest and increases the numerical accuracy of the solution in this region. We make use of such a method for solving the optical flow equation with a non quadratic regularization scheme allowing the computation of optical flow field while preserving its discontinuities. The second part of the paper deals with the interpretation of the obtained displacement field. For this purpose a phase portrait model used along with a new formulation of the approximation of an oriented flow field allowing to consider arbitrary polynomial phase portrait models for characterizing salient flow features. This new framework is used for processing oceanographic and atmospheric image sequences and presents an alternative to complex physical modeling techniques.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008161130332
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  • 22
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    Evaluating stress intensity factors of a surface crack in lubricated rolling contacts (1999)
    Springer
    International journal of fracture 96 (1999), S. 1-15 
    Details
    ISSN: 1573-2673
    Keywords: Crack ; finite element method ; least-squares ; roller bearing ; stress intensity factors.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The three-dimensional finite element method and the least-squares method were used to find the stress intensity factors (SIFs) of a surface crack in a lubricated roller. A steel roller on a rigid plane was modeled, in which a semi-elliptical surface crack is inclined at an angle ψ to the vertical axis. A distance c is set between the crack base and the roller edge. The results indicate that the mode-I SIF reaches the maximum value when the angle θ is equal to 0° (on the roller surface), and the mode-II SIF reaches the absolute maximum value when the angle θ is near or equal to 90° (inside the roller), where θ is the angle of the semi-ellipse from 0° to 180°. The influence of mode-III SIFs in this model is minor since they are much smaller than the mode-I and mode-II SIFs. The SIFs increase greatly when the crack location approaches the uncrowned edge. At this time, a crowned profile can be used to significantly reduce the SIFs near the roller edge.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018645707462
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    Experimental/Numerical Analyses of a Viscoelastic Body under Rolling Contact (1999)
    Springer
    Mechanics of time-dependent materials 3 (1999), S. 245-261 
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    ISSN: 1573-2738
    Keywords: experimental stress analysis ; finite element method ; photoviscoelasticity ; rolling contact ; viscoelasticity
    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, the authors discuss the first step in theapproach to the fundamental mechanism of small-scale local wear/fracturenear the contact surface between a viscoelastic body and a rigidtraveling roller. A rectangular viscoelastic strip made of epoxy resinwas loaded by a cylindrical hard roller moving along the upper straightedge. A convenient photoviscoelastic method using computer immageprocessing was applied to investigate the time-dependent stress andstrain around a contact region under a typical type of non-proportionalloading conditions. On the other hand, the finite element method (FEM)was used to analyze the viscoelastic stress and strain under the severalconditions. The results obtained from the two methods qualitativelycompared the time variation for the photoviscoelastic fringe patternsand the contour bands of stress/strain distribution patterns. Moreover,the time variation for principal stress differences, principal straindifferences and the directions of principal stress/strain undernon-proportional conditions, were evaluated, at which time the materialshowed remarkable viscoelastic and rubber-like properties.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009838504011
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    Finite element analysis of temperature field with phase transformation and non-linear surface heat-transfer coefficient during quenching (1998)
    Springer
    Applied mathematics and mechanics 19 (1998), S. 15-20 
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    ISSN: 1573-2754
    Keywords: finite element method ; quenching ; heat conduction ; phase transformation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The calculation of temperature field has a great influence upon the analysis of the thermal stresses and strains during quenching, and also upon the residual stresses and microstructure of the workpiece after quenching, too. In this paper, a 42CrMo steel cylinder was taken as an investigating example. From the TTT diagram of the 42 CrMo steel, the CCT diagram was simulated by mathematical transformation, and the volume fraction of phase constituents was calculated. The thermal physical properties were treated as the functions of temperature and the volume fraction of phase constitutents. Finally, the temperature field with phase transformation and non-linear surface heat-transfer coefficients was calculated with finite element method, and the corresponding functional of temperature was established.
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    URL: http://dx.doi.org/10.1007/BF02458976
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    Sound Radiated in a Cavity by a Vibrating Plate: Comparison between the Results of a Finite Element Method (FEMAK) and a Boundary Element Method (NoVAlea2D) (1998)
    Springer
    Flow, turbulence and combustion 61 (1998), S. 43-53 
    Details
    ISSN: 1573-1987
    Keywords: vibro-acoustics ; finite element method ; boundary element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The coupling between a cavity and a vibrating plate is written as a strong coupling where both the continuity of stresses and particle velocities at the interface are taken into account. A FEM analysis reveals an important coupling between the first mode of the plate and the cavity. The pressure distribution in the cavity shows a strong quarter of a wave length pattern indicating the influence of the first Dirichlet mode in the cavity. The vibrating plate is then excited by a turbulent flow modelled by its spectral density using the Corcos model. A comparison is made between the results obtained from a FEM and a BEM formulation. Good agreements are observed concerning the plate displacements. The comparison of the cavity sound pressure levels is less good.
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    URL: http://dx.doi.org/10.1023/A:1026487315387
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    Research on solid-liquid coupling dynamics of pipe conveying fluid (1998)
    Springer
    Applied mathematics and mechanics 19 (1998), S. 1065-1071 
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    ISSN: 1573-2754
    Keywords: finite element method ; pipe conveying fluid ; solid-fluid coupling vibration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract On the basis of Hamilton principle, the equation of solid-liquid coupling vibration of pipe conveying fluid is deduced. An asymmetrical solid-liquid coupling damp matrix and a symmetrical solid-liquid coupling stiffness matrix are obtained. UsingQR method, pipe's nature frequencies are calculated. The curves of the first four orders of natural frequency-flow velocity of pipe waw given. The influence of flowing velocity, pressure, solid-liquid coupling damp and solid-liquid coupling stiffness on natural frequency are discussed respectively. The dynamic respondence of the pipes for stepload with different flow velocity are calculated by Newmark method. It is found that, with the flow velocity increased, the nature frequency of the pipes reduced, increased, reduced again and so on.
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    URL: http://dx.doi.org/10.1007/BF02459195
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    Dense Non-Rigid Motion Estimation in Sequences of Medical Images Using Differential Constraints (1998)
    Springer
    International journal of computer vision 26 (1998), S. 25-40 
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    ISSN: 1573-1405
    Keywords: medical imaging ; adaptive meshes ; non-rigid motion ; differential geometry ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract We describe a new method for computing the displacement vector field in time sequences of 2D or 3D images (4D data). The method is energy-minimizing on the space of correspondence functions; the energy is split into two terms, with one term matching differential singularities in the images, and the other constraining the regularity of the field. In order to reduce the computational time of the motion estimation, we use an adaptive image mesh, the resolution of which depends on the value of the gradient intensity. We solve numerically the minimization problem with the finite element method which gives a continuous approximation of the solution. We present experimental results on synthetic data and on medical images and we show how to use these results for analyzing cardiac deformations.
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    URL: http://dx.doi.org/10.1023/A:1007932523504
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    A Finite Element Analysis of Creep-Crack Growth in Viscoelastic Media (1998)
    Springer
    Mechanics of time-dependent materials 2 (1998), S. 269-286 
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    ISSN: 1573-2738
    Keywords: crack growth process ; finite element method ; fracture mechanic ; numerical modelling ; viscoelasticity
    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, the effects of viscoelastic characteristics, on the creep-crack growth process are studied through a finite element approach. The general approach of an independent path integral is extended to crack propagation. Afterwards, fracture parameters are computed through a coupling process with an incremental viscoelastic formulation. Finally, numerical examples are presented in order to demonstrate the independence of the integration domain and the possibility of evaluating fracture characteristics which can be energetic (energy release rate) and local in the vicinity of the crack tip (stress and crack opening intensity factors).
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    URL: http://dx.doi.org/10.1023/A:1009831400270
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    Williams meets von Karman: Mode coupling and nonlinearity in the fracture of thin plates (1998)
    Springer
    International journal of fracture 93 (1998), S. 409-429 
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    ISSN: 1573-2673
    Keywords: Stress intensity factor ; plate theory ; energy release rate ; finite element method ; large deflection.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The stress field near the tip of a crack in a plate subjected to membrane and bending loads and undergoing large deflections, is investigated by performing an asymptotic analysis in the context of von Karman plate theory. It is demonstrated that the character of the near tip fields is identical to those of the linear plate theory. However, the determination of the crack tip stress intensity factors requires the solution of a large deflection, and hence nonlinear, problem due to the coupling of the membrane and bending modes. This effect is illustrated through the solution of three fracture problems involving plates of simple geometries loaded by pressure, tension and shearing. In two of these problems, the energy release rate is obtained exactly. Nonlinear finite element computations are performed to obtain the stress intensity factors and energy release rate associated with tension, bending and shearing. These results are compared to the theoretical results for energy release rate and stress intensity factors.
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    URL: http://dx.doi.org/10.1023/A:1007512716475
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    J-Q characterization of propagating cracks (1998)
    Springer
    International journal of fracture 94 (1998), S. 357-370 
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    ISSN: 1573-2673
    Keywords: Fracture ; elastic-plastic fracture ; constraint ; two-parameter characterization ; stable crack growth ; finite element method ; remeshing.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract An investigation is performed to determine to what extent the state at a growing crack tip vicinity can be characterised by J and Q calculated from FE analyses of successively stationary crack tip positions. FE models in two-dimensionals of single edge notch bend and double edge cracked panel specimens with several different crack lengths are used to cover a range of load and constraint levels. The stress and strain fields are compared between different specimens keeping J- and Q-values equal. A remeshing technique in the commercial FE-code ABAQUS is used to enhance the efficiency of the analysis. The results show that the J-Q-theory provides reasonably accurate crack tip characterization also for growing cracks. This leads to the conclusion that FE analyses of successive stationary cracks rather than full FE propagation analyses are sufficient. The limit of validity for propagation is similar to the validation limit for the stationary case, although somewhat more restrictive.
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    URL: http://dx.doi.org/10.1023/A:1007558400880
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    Dynamic analysis of arrest of buckle propagation on a beam on a nonlinear elastic foundation by FEM (1997)
    Springer
    Acta mechanica solida Sinica 10 (1997), S. 28-35 
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    ISSN: 0894-9166
    Keywords: buckle propagation ; arrest of buckle ; beam on a nonlinear foundation ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Based on the dynamic governing equation of propagating buckle on a beam on a nonlinear elastic foundation, this paper deals with an important problem of buckle arrest by combining the FEM with a time integration technique. A new conclusion completely different from that by the quasistatic analysis about the buckle arrestor design is drawn. This shows that the inertia of the beam cannot be ignored in the analysis under consideration, especially when the buckle propagation is suddenly stopped by the arrestors.
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    URL: http://dx.doi.org/10.1007/BF02207607
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    Effect of temperature on the fracture modes of BHW-35 steel under mode-II loading (1997)
    Springer
    Acta mechanica solida Sinica 10 (1997), S. 76-85 
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    ISSN: 0894-9166
    Keywords: finite element method ; mode- II loading ; J integral
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Finite element method (FEM) has been used to analyze the stress and strain fields and the stress tri-axial levels around the tip of the crack under mode- II loading. The results show that: under mode- II loading, the direction of the maximum tensile stress and that of the maximum tri-axial levels (R o ) exist at an angle of −75. 3° from the original crack plane; the maximum shear stress andR o = 0 exist along the original crack plane. Mode- II loading experiment using BHW-35 steel at different temperatures show that there are two kinds of fracture mode, opening mode (or tensile mode) and sliding mode (or shear mode). A decrease in temperature causes the fracture mode to change from shear mode to tensile mode. For BHW-35 steel, this critical temperature is about −90 C. Actually, under any kind of loading mode (mode I . mode II , mode III or mixed mode), there always exist several kinds of potenital fracture modes (for example, opening mode, sliding mode, tearing mode or mixed mode). The effect of temperature under mode- II loading is actually related to the change of the elastic-plastic properties of the material.
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    Dynamic behavior of piles embedded in transversely isotropic layered media (1997)
    Springer
    Acta mechanica Sinica 13 (1997), S. 241-252 
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    ISSN: 1614-3116
    Keywords: pile-soil system ; soil anisotropy ; transversely isotropic layered media ; dynamic behavior ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Dynamic behavior of single pile embedded in transversely isotropic layered media is investigated using the finite element method combined with dynamic stiffness matrices of the soil derived from Green's function for ring loads. The influence of soil anisotropy on the dynamic behavior of piles is examined through a series of parametric studies
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    URL: http://dx.doi.org/10.1007/BF02487706
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    Deformation localization and shear band fracture in strong anisotropy sheet tension (1997)
    Springer
    Acta mechanica Sinica 13 (1997), S. 143-152 
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    ISSN: 1614-3116
    Keywords: deformation localization and shear band fracture ; planar anisotropy ; sheet metal tension ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract The tensile deformation localization and the shear band fracture behaviors of sheet metals with strong anisotropy are numerically simulated by using Updating Lagrange finite element method, Quasi-flow plastic constitutive theory[1] and B-L planar anisotropy yield criterion[2]. Simulated results are compared with experimental ones. Very good consistence is obtained between numerical and experimental results. The relationship between the anisotropy coefficientR and the shear band angle θ is found.
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    Numerical bifurcation and stability analysis for steady-states of reaction diffusion equations (1997)
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    Numerical algorithms 14 (1997), S. 211-225 
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    ISSN: 1572-9265
    Keywords: bifurcation function ; elliptic boundary value problem ; finite element method ; reduction to an alternative problem ; stability of steady-states ; 35J25 ; 65N35
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Solutions $$u \in H_0^1 (\Omega ) \cap H^2 (\Omega )$$ of a semilinear elliptic boundary value problem, $$Au + f(x,u,\lambda ) = 0$$ (with $$f_u (x,u,\lambda )$$ bounded below) can be put into a one-to-one correspondence with zeros $$c \in \mathbb{R}^d $$ of a function $$c \to B(c,\lambda ) \in \mathbb{R}^d $$ . Often d is small. The function $$B(c,\lambda )$$ is called the bifurcation function. It can also be shown that the eigenvalues of the matrix $$B_c (c,\lambda )$$ characterize the stability properties of the solutions of the elliptic problem as rest points of $$u_t + Au + f(x,u,\lambda ) = 0$$ . A finite element method that can be used for computing B and B c has recently been proposed. An overview of these results and the finite element method is given.
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    URL: http://dx.doi.org/10.1023/A:1019117130906
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    The optimal control variational principle and finite elements analysis for viscoplastic dynamics (1997)
    Springer
    Applied mathematics and mechanics 18 (1997), S. 61-68 
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    ISSN: 1573-2754
    Keywords: viscoplastic dynamics ; optimal control ; variational principle ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract This paper presents the optimal control variational principle for Perzyna model which is one of the main constitutive relation of viscoplasticity in dynamics. And it could also be transformed to solve the parametric quadratic programming problem. The FEM form of this problem and its implementation have also been discussed in the paper.
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    A modified Hellinger-Reissner variational functional including only two independent variables for large displacement of thin shallow shell (1997)
    Springer
    Applied mathematics and mechanics 18 (1997), S. 663-670 
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    ISSN: 1573-2754
    Keywords: variational principle ; shallow shell ; large displacement ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The variational functional of the Hellinger-Reissner variational principle for the large displacement problem of a thin shallow shell with an arbitrary shape is first established. Then the functional of the modified principle suitable for the finite element method is derived. In the functional only two independent variables, the deflection ω and the stress function F are included. The displacement expressions in the middle surface on the boundary of the shell is also derived by means of the previous two variables.
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    URL: http://dx.doi.org/10.1007/BF00127014
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    Interweaving Kohonen Maps of Different Dimensions to Handle Measure Zero Constraints on Topological Mappings (1997)
    Springer
    Neural processing letters 5 (1997), S. 83-89 
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    ISSN: 1573-773X
    Keywords: finite element method ; Kohonen ; neural networks ; self-organizing ; topological mapping
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract The usual “Kohonen” algorithm uses samples of points in a domain to develop a topological correspondence between a grid of “neurons” and a continuous domain. “Topological” means that near points are mapped to near points. However, for many applications there are additional constraints, which are given by sets of measure zero, which are not preserved by this method, because of insufficient sampling. In particular, boundary points do not typically map to boundary points because in general the likelihood of a sample point from a two-dimensional domain falling on the boundary is typically zero for continuous data, and extremely small for numerical data. A specific application, (assigning meshes for the finite element method), was recently solved by interweaving a two-dimensional Kohonen mapping on the entire grid with a one-dimensional Kohonen mapping on the boundary. While the precise method of interweaving was heuristic, the underlying rationale seems widely applicable. This general method is problem independent and suggests a direct generalization to higher dimensions as well.
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    The Influence of Laterally Inhomogeneous Contacts on the Impedance of Solid Materials: A Three-Dimensional Finite-Element Study (1997)
    Springer
    Journal of electroceramics 1 (1997), S. 73-89 
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    ISSN: 1573-8663
    Keywords: impedance ; porous electrode ; inhomogeneous contact ; finite element method ; potential distribution ; current constriction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The total impedance of samples with electrodes exhibiting only partial contact (porous electrodes) is investigated using the finite element method in three dimensions. Emphasis is put on porous electrodes built up of arrays of small perfect contacts. An equivalent circuit to analyze the impedance spectra is put on a firm basis enabling the reliable determination of bulk properties of “imperfectly” contacted samples. Approximations are given to estimate the contact geometry impedance. The results are also applicable to other imperfect contact problems as occurring at grain boundaries.
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    Approximate methods for predicting J-integral of a circumferentially surface-cracked pipe subject to bending (1997)
    Springer
    International journal of fracture 85 (1997), S. 111-130 
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    ISSN: 1573-2673
    Keywords: Elastic-plastic fracture mechanics ; J-integral ; surface crack ; pipe ; finite element method ; energy release rate.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This study proposes two new methods to estimate the energy release rate of a circumferentially cracked pipe with an internal, constant-depth, finite-length surface flaw subjected to pure bending loads. The methods are based on the deformation theory of plasticity, constitutive law characterized by Ramberg-Osgood model, and an equivalence criterion incorporating reduced thickness analogy for simulating system compliance due to the presence of a crack. Closed-form solutions were developed in terms of elementary functions for an approximate evaluation of J-integral. They are general and can be applied in the complete range between elastic and fully plastic conditions. Several numerical examples are presented to illustrate the proposed methods. The comparisons with the results of elastic-plastic finite element analysis showed satisfactory prediction of J-integral by one of the proposed methods.
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    Computational dynamic fracture mechanics (1997)
    Springer
    International journal of fracture 86 (1997), S. 127-159 
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    ISSN: 1573-2673
    Keywords: dynamic fracture ; dynamic crack propagation ; finite element method ; numerical simulation ; computational modeling ; asymptotic eigen field ; dynamic J integral.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper provides a review on the state of the art in computational dynamic fracture mechanics. The following important essential ingredients in computational dynamic fracture mechanics are included: (i) fundamental aspects of dynamic fracture mechanics, (ii) types of fracture simulation, (iii) computational models of dynamic crack propagation, and (iv) use of dynamic J-integral in computational models. In the item (i), a special attention is focused on the asymptotic eigen fields for various states of dynamic crack tips, which provide the foundation of dynamic fracture mechanics as Williams' asymptotic eigen solutions provided the foundation of static linear fracture mechanics. In the item (ii), a new concept of mixed-phase simulation is presented for general nonself-similar crack propagation, in addition to the generation-phase and application-phase simulations. A comprehensive summary of computational models for dynamic crack propagation is given in the item (iii). Finally, in the item (iv) several attractive features of the dynamic J-integral are presented.
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    Theoretical and Numerical Aspects in the Thermo-Viscoelastic Material Behaviour of Rubber-Like Polymers (1997)
    Springer
    Mechanics of time-dependent materials 1 (1997), S. 357-396 
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    ISSN: 1573-2738
    Keywords: finite element method ; large deformation thermo-viscoelasticity ; non-linear evolution law ; thermo-mechanical coupling phenomena ; time integration algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Most current models for finite deformation thermo-viscoelasticity are restricted to linear evolution laws for the viscous behaviour and to thermorheologically simple materials. In this paper, we extend a model for finite deformation viscoelasticity that utilizes a nonlinear evolution law to include thermal effects. In particular, we present a thermodynamically consistent framework for the model and give a detailed form for then on-equilibrium Helmholtz free energy of the material in terms of the isothermal free energy function. The use of the model in a computational setting is addressed and it is shown that an efficient predictor-correct oralgorithm can be used to integrate the evolution equation of the proposed constitutive model. The integration algorithm makes crucial use of the exponential map as has been done previously in elastoplasticity. Numerical examples are presented to show some interesting features of the new model.
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    A finite element approach to anisotropic damage of ductile materials in large deformations Part II: finite element formulation and applications (1997)
    Springer
    International journal of fracture 84 (1997), S. 279-295 
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    ISSN: 1573-2673
    Keywords: continuum damage mechanics ; finite element method ; large deformation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A finite element analysis model for material and geometrical non-linearities due to large plastic deformations of ductile materials is presented using the continuum damage mechanics approach. To overcome limitations of the conventional plastic analysis, a fourth-order tensor damage, defined in Part I of this paper to represent the stiffness degradation in the finite strain regime, is incorporated. General forms of an updated Lagrangian (U.L.) finite element procedure are formulated to solve the governing equations of the coupled elastic–plastic-damage analysis, and a computer program is developed for two-dimensional plane stress/strain problems. A numerical algorithm to treat the anisotropic damage is proposed in addition to the non-linear incremental solution algorithm of the U.L. formulation. Selected examples, compared with published results, show the validity of the presented finite element approach. Finally, the necking phenomenon of a plate with a hole is studied to explore plastic damage in large strain deformations.
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    Analysis of discrete techniques for image transformation (1996)
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    Numerical algorithms 13 (1996), S. 225-263 
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    ISSN: 1572-9265
    Keywords: numerical integration ; error analysis ; harmonic transformation ; finite element method ; digital image ; image transformation ; 65N15 ; 65D30 ; 68A45
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Let an image be distorted by a nonlinear transformationT, and then be restored back to its original by the inverse transformationT −1. Such a cycle conversion,T −1 T, of digital images can be facilitated by the combination (CSIM) given in [6] using the splitting-shooting method and the splitting-integrating method forT andT −1 respectively. Since there is no need to solve nonlinear equations, CSIM has been widely applied to specific areas of image processing and pattern recognition, even those with complicated transformations, e.g., the harmonic transformation [12]; however, no strict error analysis has been provided so far. In this paper, a priori error estimates and convergence rates are derived for pixel greyness obtained from CSIM; also the analytical results are extended to the harmonic transformation. Numerical and graphical experiments are provided to support the theoretical analysis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207696
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  • 45
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    Free boundary problem of the 2D seepage flow (1996)
    Springer
    Applied mathematics and mechanics 17 (1996), S. 549-554 
    Details
    ISSN: 1573-2754
    Keywords: seepage flow ; variational inequality ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The free boundary of the seepage flow is a problem of close consideration in engineering. So far, an estimation of the wet set region usually needs a priori before the numerical analysis, and the configuration of the free boundary is then obtained by successive approximation. The authors of this paper benefit from a new mathematical expression—The Variational Inequality—to formulate the free boundary problem, which is then solved by the finite element method. Instead of the conventional way of discretization, here the finite element mesh is generated in the entire domain of the studied media and the free boundary of the seepage region can be defined directly without any process of iteration. The investigation gives a new effective scheme for the seepage flow analysis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00119752
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  • 46
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    A study of the elasto-plastic axially tensile properties of metal matrix composites with fiber-end debonding (1996)
    Springer
    Applied mathematics and mechanics 17 (1996), S. 723-727 
    Details
    ISSN: 1573-2754
    Keywords: debonding ; metal matrix composites ; elastoplasticity ; generalized self-consistent method ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract Based on the generalized self-consistent finite element iterative averaging method, this paper studied the effects of the fiber-end debonding on the axially tensile elasto-plastic properties of SiC whiskers reinforced Aluminium matrix composite for various cases of different fiber's aspect ratios and volume fractions. Compared with the cases of perfect interface, it could be concluded that the effects of fiber-end debonding will become weaker with the fiber aspect ratio increasing and greater as the fiber volume fraction increases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00189560
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    Effects of elastic deformation of a bearing liner on performance of finite offset-halves pressure dam bearings (1996)
    Springer
    Tribology letters 2 (1996), S. 273-285 
    Details
    ISSN: 1573-2711
    Keywords: elastohydrodynamic ; pressure dam bearings ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The elastic effects of the liner of a hydrodynamic bearing are considered to be very significant, since they are found to influence the performance of the bearing considerably. The study of bearings such as circular, ordinary two-lobe, elliptical pressure dam etc. has already been reported. This paper describes the elastohydrodynamic study of an offsethalves pressure dam bearing, which is one of the common types of two-lobe bearings. The flexibility of the liner is represented by a dimensionless deformation coefficient. The results indicate that with the flexibility of the liner, the zone of infinite stability increases, whereas the minimum threshold speed first decreases and then increases in the investigated range. Rotor flexibility adversely affects the minimum threshold speed, but the zone of infinite stability remains unaffected.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00173133
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  • 48
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    Experimental and numerical investigation of fracture in double-edge notched steel plates (1996)
    Springer
    International journal of fracture 81 (1996), S. 383-399 
    Details
    ISSN: 1573-2673
    Keywords: DENT specimens ; steel plates ; essential work of fracture ; J integral ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Double-edge notched (DENT) steel plates were pulled until complete fracture and several experimental observations were made (using profilometry and scanning electron microscopy). The essential work of fracture (EWF) model was found to be well verified. Numerical simulations—up to the maximum load only—of some experiments were performed using the finite element method (FEM), and incorporating geometric and material non-linearities (large deformation elasto-plasticity). Some experimental measurements were compared with the corresponding numerical computations and excellent agreement was found.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00012430
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  • 49
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    A theory of large-strain isotropic thermoplasticity based on metric transformation tensors (1995)
    Springer
    Archive of applied mechanics 66 (1995), S. 45-64 
    Details
    ISSN: 1432-0681
    Keywords: finite elastoplasticity ; thermoplasticity ; becking ; plastic localization ; coupled problems ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary A formulation of isotropic thermoplasticity for arbitrary large elastic and plastic strains is presented. The underlying concept is the introduction of a metric transformation tensor which maps a locally defined six-dimensional plastic metric onto the metric of the current configuration. This mixed-variant tensor field provides a basis for the definition of a local isotropic hyperelastic stress response in the thermoplastic solid. Following this fundamental assumption, we derive a consistent internal variable formulation of thermoplasticity in a Lagrangian as well as a Eulerian geometric setting. On the numerical side, we discuss in detail an objective integration algorithm for the mixed-variant plastic flow rule. The special feature here is a new representation of the stress return and the algorithmic elastoplastic moduli in the eigenvalue space of the Eulerian plastic metric for plane problems. Furthermore, an algorithm for the solution of the coupled problem is formulated based on an operator split of the global field equations of thermoplasticity. The paper concludes with two representative numerical simulations of thermoplastic deformation processes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00786688
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  • 50
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    A theory of large - strain isotropic thermoplasticity based on metric transformation tensors (1995)
    Springer
    Archive of applied mechanics 66 (1995), S. 45-64 
    Details
    ISSN: 1432-0681
    Keywords: Key words finite elastoplasticity ; thermoplasticity ; becking ; plastic localization ; coupled problems ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary  A formulation of isotropic thermoplasticity for arbitrary large elastic and plastic strains is presented. The underlying concept is the introduction of a metric transformation tensor which maps a locally defined six - dimensional plastic metric onto the metric of the current configuration. This mixed-variant tensor field provides a basis for the definition of a local isotropic hyperelastic stress response in the thermoplastic solid. Following this fundamental assumption, we derive a consistent internal variable formulation of thermoplasticity in a Lagrangian as well as a Eulerian geometric setting. On the numerical side, we discuss in detail an objective integration algorithm for the mixed-variant plastic flow rule. The special feature here is a new representation of the stress return and the algorithmic elastoplastic moduli in the eigenvalue space of the Eulerian plastic metric for plane problems. Furthermore, an algorithm for the solution of the coupled problem is formulated based on an operator split of the global field equations of thermoplasticity. The paper concludes with two representative numerical simulations of thermoplastic deformation processes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00786688
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    A nonconforming finite element method for a singularly perturbed boundary value problem (1995)
    Springer
    Computing 54 (1995), S. 1-25 
    Details
    ISSN: 1436-5057
    Keywords: 65L10 ; 65L60 ; 65N30 ; Singular perturbation ; finite element method ; uniform convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Wir analysieren eine neue nichtkonforme Petrov-Galerkin Finite-Elemente-Methode zur Lösung eines linearen singulär gestörten 2-Punkt Randwertproblems ohne Wendepunkte. In einer im Vergleich zur üblichen Engergienorm etwas stärkeren Norm wird gezeigt, daß die Methode bezüglich des Störparameters gleichmäßig konvergent mit der Ordnungh 1/2 ist. Unser Beweis benutzt ein neues abstraktes Konvergenztheorem für Petrov-Galerkin Finite-Elemente-Methoden.
    Notes: Abstract We analyze a new nonconforming Petrov-Galerkin finite element method for solving linear singularly perturbed two-point boundary value problems without turning points. The method is shown to be convergent, uniformly in the perturbation parameter, of orderh 1/2 in a norm slightly stronger than the energy norm. Our proof uses a new abstract convergence theorem for Petrov-Galerkin finite element methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02238077
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    Anisotropic multistage finite element method for two dimensional viscous transonic flow in turbomachinery (1995)
    Springer
    Acta mechanica Sinica 11 (1995), S. 15-19 
    Details
    ISSN: 1614-3116
    Keywords: transonic flow ; turbomachinery ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract A new method based on the anisotropic tensor force finite element and Taylor-Galerkin finite element is presented in the present paper. Its application to two-dimensional viscous transonic flow in turbomachinery improves the convergence rate and stability of calculation, and the results obtained agree well with the experimental measurements.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02487180
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    Transient analysis of artificial mechanical valve-blood interaction (1995)
    Springer
    Applied mathematics and mechanics 16 (1995), S. 437-442 
    Details
    ISSN: 1573-2754
    Keywords: artificial mechanical value ; fluid-solid interaction ; transient dynamic analysis ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract Using finite element method, this paper has analyzed the blood-mechanical heart valve interaction system subjected to a step pressure when the value is, at closing position. As demonstrated in the present study, in, such conditions mechanical values made of pyrolytic carbon, Ti alloy, Co-Cr alloy and ceramics tend to be very stiff which result in high impinging pressure. The impinging pressure acted on the value of the blood-valve system can be reduced by decreasing the elastic modulus of the mechanical value.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459342
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