A meshless stress analysis of nonhomogeneous materials using the triple-reciprocity boundary element method

摘要

In general, internal cells are required to solve nonhomogeneous elastic problems using a conventional boundary element method (BEM). However, in this case, the merit of the BEM, which is the ease of data preparation, is lost. In this study, it is shown that two-dimensional nonhomogeneous elastic problems can be solved using the triple-reciprocity BEM without the use of internal cells. Young's modulus and Poisson's ratio are variable in nonhomogeneous elastic materials. The distribution of a fictitious body force generated by a nonhomogeneous material is interpolated using boundary integral equations. A new computer program was developed and applied to solve several problems.