従来の境界要素法により熱弾塑性解析をする場合,rn内部セルが必要になる.内部セルを使用する方法rnでは,データが容易に作成できるという境界要素法のrn利点が損なわれる.また,従来の境界要素法では熱弾rn塑性状態の内部応力を計算する際,強い特異性の問題rnを考慮しなければならなかった.多重相反法や二rn重相反法が提案されているが,熱弾塑性解析に適用rnされた事例はない.筆者は二次元熱弾塑性解析においrnて,三重相反境界要素法によって,内部セルを用いなrnいで解析が可能であることを示している.%In general, internal cells are required to solve thermo-elastoplastic problems using a conventional boundary element method (BEM). However, in this case, the merit of BEM, which is the easy preparation of data, is lost. The conventional multiple-reciprocity boundary element method (MRBEM) cannot be used to solve the thermo-elastoplastic problems, because the distribution of initial strain or initial stress cannot be determined analytically. In this paper, it is shown that three-dimensional thermo-elastoplastic problems can be solved without the use of internal cells, by using the triple-reciprocity boundary element method. Initial strain formulations are adopted and the initial strain distribution is interpolated using boundary integral equations. A new computer program was developed and applied to several problems.
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