Analysis of problems in elasto-plasticity via an adaptive FEM–BEM coupling method

Elleithy, Wael

doi:10.1016/j.cma.2008.02.018

Cited by 11 publications

(15 citation statements)

References 43 publications

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“…In this section, the conventional (direct) FEM-BEM coupling equations adopted in this investigation (without loss of generality) and the adaptive method of [8,9] are briefly described.…”

Section: Preliminariesmentioning

confidence: 99%

“…The subscripts Ref. [8,9] presented an adaptive FEM-BEM coupling method for solving problems in elasto-plasticity. The adaptive coupling method follows a linear hypothetical elastic computation at levels of loading specified by the user.…”

Section: Preliminariesmentioning

confidence: 99%

“…In this paper we present an alternative to the adaptive coupling method presented in [8,9]. The proposed method is valid for both two-and threedimensional applications.…”

Section: Introductionmentioning

confidence: 99%

“…An outline of the paper is as follows. Section 2 briefly summarizes the conventional FEM-BEM coupling equations adopted in this investigation and the adaptive method of [8,9]. In the sequence, Section 3 presents the proposed adaptive FEM-BEM coupling method for elasto-plastic analysis.…”

Section: Introductionmentioning

confidence: 99%

“…Elleithy and Langer [8] and Elleithy [9] presented an adaptive FEM-BEM coupling method for 2D elasto-plastic analysis. The method proposes the use of simple, fast post-calculations, based on energetic methods, and follows a simple hypothetical elastic boundary element computation in order to give fast and helpful estimation of the FEM and BEM sub-domains.…”

Section: Introductionmentioning

confidence: 99%

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Efficient elasto-plastic analysis via an adaptive finite element-boundary element coupling method

Elleithy

Langer

2008

WIT Transactions on Modelling and Simulation

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This paper presents an adaptive FEM-BEM coupling method for elasto-plastic analysis. The proposed method is valid for both two-and three-dimensional applications. The method takes care of the evolution of the elastic and plastic regions and avoids some limitations of the standard FEM-BEM coupling approaches. It 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 method eliminates the cumbersome trial and error process in the identification of the FEM and BEM sub-domains in the standard FEM-BEM coupling approaches. An example application confirms the effectiveness of the proposed method.

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“…In this section, the conventional (direct) FEM-BEM coupling equations adopted in this investigation (without loss of generality) and the adaptive method of [8,9] are briefly described.…”

Section: Preliminariesmentioning

confidence: 99%

Section: Preliminariesmentioning

confidence: 99%

“…In this paper we present an alternative to the adaptive coupling method presented in [8,9]. The proposed method is valid for both two-and threedimensional applications.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Efficient elasto-plastic analysis via an adaptive finite element-boundary element coupling method

Elleithy

Langer

2008

WIT Transactions on Modelling and Simulation

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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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Adaptive modeling of damage growth using a coupled FEM/BEM approach

Mobasher

Waisman

2015

Numerical Meth Engineering

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SUMMARYWe propose a coupled boundary element method (BEM) and a finite element method (FEM) for modelling localized damage growth in structures. BEM offers the flexibility of modelling large domains efficiently, while the non-linear damage growth is accurately accounted by a local FEM mesh. An integral-type nonlocal continuum damage mechanics with adapting FEM mesh is used to model multiple damage zones and follow their propagation in the structure. Strong form coupling, BEM hosted, is achieved using Lagrange multipliers. Because the non-linearity is isolated in the FEM part of the system of equations, the system size is reduced using Schur complement approach, then the solution is obtained by a monolithic Newton method that is used to solve both domains simultaneously. The coupled BEM/FEM approach is verified by a set of convergence studies, where the reference solution is obtained by a fine FEM. In addition, the method is applied to multiple fractures growth benchmark problems and shows good agreement with the literature.

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Analysis of problems in elasto-plasticity via an adaptive FEM–BEM coupling method

Cited by 11 publications

References 43 publications

Efficient elasto-plastic analysis via an adaptive finite element-boundary element coupling method

Efficient elasto-plastic analysis via an adaptive finite element-boundary element coupling method

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

Adaptive modeling of damage growth using a coupled FEM/BEM approach

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