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Initial strain formulation without internal cells for elastoplastic analysis by triple-reciprocity BEM. (English) Zbl 0977.74075
Summary: In general, internal cells are required to solve elastoplasticity problems using a conventional boundary element method (BEM). However, in this case the merit of BEM, which is an easy method for the preparation of data, is lost. The conventional multiple-reciprocity boundary element method cannot be used to solve elastoplasticity problems because the distribution of initial strain or initial stress cannot be determined analytically. In this paper, we show that two-dimensional elastoplasticity problems can be solved without the use of internal cells, by using the triple-reciprocity boundary element method. An initial strain formulation is adopted, and the initial strain distribution is interpolated using boundary integral equations. A new computer programme is developed and applied to several problems.

74S15 Boundary element methods applied to problems in solid mechanics
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
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