Abstract
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 easiness of data preparations, is lost. Triple-reciprocity BEM can solve the 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, using the triple-reciprocity BEM. An initial strain formulation is adopted and the arbitrary distributions of the initial strain for elastoplastic analysis are interpolated using boundary integral equations and internal points. This interpolation corresponds to a thin plate spline. The fundamental solutions for this analysis are shown using polyharmonic function with volume distribution. The theory is expressed using a few fundamental solutions. In this method, strong singularities in the calculation of stresses at internal points become weak. A new computer program was developed and applied to solving several problems.
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