Interface relaxation FEM–BEM coupling method for elasto-plastic analysis

Elleithy, Wael; Tanaka, Masataka; Guzik, Artur

doi:10.1016/j.enganabound.2003.12.002

Cited by 23 publications

(26 citation statements)

References 12 publications

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“…In all of these cases, a non-linear solution procedure is required. Equation (27) will not be generally satisfied at any stage of computation, and thus the equilibrium equation can be restated in the form of a residual (or out-of-balance) force vector. The FEM equations, in incremental form, are solved at each iteration using a tangent FEM stiffness matrix K T .…”

Section: Fem In Elasto-plasticitymentioning

confidence: 99%

“…Some force terms in (27) may be a function of displacement, u, or stress may be a non-linear function of strain, ε, as a result of material non-linearity such as plasticity. In all of these cases, a non-linear solution procedure is required.…”

Section: Fem In Elasto-plasticitymentioning

confidence: 99%

“…Within the iteration procedure, a relaxation operator is applied to the interface boundary conditions in order to enable and speed up convergence. In this sense, the iterative coupling approaches are better called interface relaxation FEM-BEM coupling methods [25,27]. The interface relaxation FEM-BEM (Dirichlet-Neumann) coupling method in elasto-plasticity is 1027 outlined as: Set initial guess ( F u C ) n=0 (where n is the iteration number).…”

Section: Coupled Fem-bem In Elasto-plasticitymentioning

confidence: 99%

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An adaptive domain decomposition coupled finite element–boundary element method for solving problems in elasto‐plasticity

Elleithy

Grzhibovskis

2009

Numerical Meth Engineering

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SUMMARYThe purpose of this paper is to present an adaptive finite element-boundary element method (FEM-BEM) coupling method that is valid for both two-and three-dimensional elasto-plastic analyses. The method takes care of the evolution of the elastic and plastic regions. It eliminates the cumbersome of a trial and error process in the identification of the FEM and BEM sub-domains in the standard FEM-BEM coupling approaches. The method estimates the FEM and BEM sub-domains and automatically generates/adapts the FEM and BEM meshes/sub-domains, according to the state of computation. The results for two-and three-dimensional applications in elasto-plasticity show the practicality and the efficiency of the adaptive FEM-BEM coupling method.

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Section: Fem In Elasto-plasticitymentioning

confidence: 99%

Section: Fem In Elasto-plasticitymentioning

confidence: 99%

Section: Coupled Fem-bem In Elasto-plasticitymentioning

confidence: 99%

See 1 more Smart Citation

An adaptive domain decomposition coupled finite element–boundary element method for solving problems in elasto‐plasticity

Elleithy

Grzhibovskis

2009

Numerical Meth Engineering

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“…In this case the FEM is used on the region where the nonlinearities are expected to occur, whereas the BEM is used on the regions that remain elastic. This approach can be seen for instance in references [5,11,15,20,31,34,52,58,62].…”

Section: Introductionmentioning

confidence: 97%

Efficient elastoplastic analysis with the boundary element method

2007

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Conventional numerical implementation of the boundary element method (BEM) for elasto-plastic analysis requires a domain discretization into cells. This requires more effort for the discretization of the problem and additional computational effort. A new technique is proposed here for the analysis of 2D and 3D elasto-plastic problems with the boundary element method. In this approach the domain does not need to be discretised into cells prior to the analysis. Plasticity is assumed to start from the boundary and the cells are generated from the boundary data automatically during the analysis. Using the cell generation process, elasto-plastic analysis with the BEM becomes much more user friendly and efficient than the standard approach with a pre-definition of cells. The accuracy and efficiency of the solution obtained by the new approach is verified by several numerical examples.

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“…In fact, it did not take long until some researchers started to combine the BEM and the FEM in order to profit from their respective advantages, trying to evade their disadvantages, and nowadays several works dealing with BEM-FEM coupling are available [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. However, standard coupling procedures of BEM/FEM can lead to several problems with respect to efficiency, accuracy and flexibility.…”

Section: Introductionmentioning

confidence: 99%