Initial Stress Formulation for Elastoplastic Analysis by Improved Multiple-Reciprocity Boundary Element Method.

Ochiai, Yoshihiro; Kobayashi, Tadashi

doi:10.1299/kikaia.64.2914

Cited by 12 publications

(23 citation statements)

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“…To analyze the elastoplastic problems using the initial strain formulation, the following boundary integral equation must be solved [1,2]. …”

Section: Initial Stress Formulationmentioning

confidence: 99%

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Initial stress formulation for three-dimensional elastoplastic analysis by the triple-reciprocity boundary element method

Ochiai¹

2007

WIT Transactions on Modelling and Simulation, Vol 44

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In general, internal cells are required to solve elastoplastic problems using a conventional boundary element method (BEM). However, in this case, the merit of BEM, which is ease of data preparation, is lost. Triple-reciprocity BEM can be used to solve two-dimensional elastoplasticity problems with a small plastic deformation. It has been shown that three-dimensional elastoplastic problems can be solved, without the use of internal cells, by the triple-reciprocity BEM and initial strain method. In this study, an initial stress formulation is adopted and the initial stress distribution is interpolated using boundary integral equations. A new computer program was developed and applied to solving several problems.

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“…To analyze the elastoplastic problems using the initial strain formulation, the following boundary integral equation must be solved [1,2]. …”

Section: Initial Stress Formulationmentioning

confidence: 99%

“…Elastoplastic problems can be solved by a conventional boundary element method (BEM) using internal cells for domain integrals [1,2]. In this case, however, the merit of BEM, which is ease of data preparation, is lost.…”

Section: Introductionmentioning

confidence: 99%

Initial stress formulation for three-dimensional elastoplastic analysis by the triple-reciprocity boundary element method

Ochiai¹

2007

WIT Transactions on Modelling and Simulation, Vol 44

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“…In addition, some numerical schemes have been developed to avoid the use of internal cells. Ochiai and Kobayashi [10,11] presented an improved multiple-reciprocity BEM (MRBEM) to transform domain integrals to boundary integrals. Gao [12] applied a radial integration method to transform domain integrals without using any particular solutions.…”

Section: Introductionmentioning

confidence: 99%

Fast multipole boundary element analysis of two‐dimensional elastoplastic problems

Wang¹,

Yao²

2006

Commun. Numer. Meth. Engng.

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SUMMARYThis paper presents a fast multipole boundary element method (BEM) for the analysis of two-dimensional elastoplastic problems. An incremental iterative technique based on the initial strain approach is employed to solve the nonlinear equations, and the fast multipole method (FMM) is introduced to achieve higher runtime and memory storage efficiency. Both of the boundary integrals and domain integrals are calculated by recursive operations on a quad-tree structure without explicitly forming the coefficient matrix. Combining multipole expansions with local expansions, computational complexity and memory requirement of the matrix-vector multiplication are both reduced to O(N ), where N is the number of degrees of freedom (DOFs). The accuracy and efficiency of the proposed scheme are demonstrated by several numerical examples.

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“…On the other hand, several countermeasures have been considered. Ochiai and Kobayashi proposed the triple-reciprocity BEM without the use of internal cells for elastoplastic problems [3]. By this method, a highly accurate solution can be obtained using only fundamental solutions of a low order and by diminishing the need for data preparation.…”

Section: Introductionmentioning

confidence: 99%

“…By this method, a highly accurate solution can be obtained using only fundamental solutions of a low order and by diminishing the need for data preparation. Ochiai and Kobayashi applied the triple-reciprocity BEM (improved multiplereciprocity BEM) without internal cells to two-dimensional elastoplastic problems using an initial stress and strain formulations [3,4].…”

Section: Introductionmentioning

confidence: 99%

Three‐dimensional elastoplastic analysis by triple‐reciprocity boundary element method

Ochiai

2006

Commun. Numer. Meth. Engng.

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SUMMARYIn general, internal cells are required to solve elastoplastic problems using a conventional boundary element method (BEM). However, in this case, the merit of BEM, which is ease of data preparation, is lost. Triple-reciprocity BEM can be used to solve two-dimensional elastoplasticity problems with a small plastic deformation. In this study, it is shown that three-dimensional elastoplastic problems can be solved, without the use of internal cells, by the triple-reciprocity BEM. An initial strain formulation is adopted and the initial strain distribution is interpolated using boundary integral equations. A new computer program was developed and applied to solving several problems.

show abstract

Initial Stress Formulation for Elastoplastic Analysis by Improved Multiple-Reciprocity Boundary Element Method.

Cited by 12 publications

References 0 publications

Initial stress formulation for three-dimensional elastoplastic analysis by the triple-reciprocity boundary element method

Initial stress formulation for three-dimensional elastoplastic analysis by the triple-reciprocity boundary element method

Fast multipole boundary element analysis of two‐dimensional elastoplastic problems

Three‐dimensional elastoplastic analysis by triple‐reciprocity boundary element method

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