非弾性ひずみ問題の境界要素解析における特異積分の解析的評価

概要

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An analytical evaluation method of a singular domain integral in BEM inelastic analysis is described in this paper. A high order singular domain integral term originated from an inelastic strain rate is present in the internal stress rate formulation and, therefore, it is very difficult to calculate its principal value by numerical integration. However, an accurate evaluation of the internal stress rate is important to obtain a correct inelastic strain field at each load increment stage of nonlinear material BEM analysis. In the present paper, we derived a fully analytical form of the singular integral term for a plane problem by applying a triangular polar coordinate transformation which can reduce the order of singularity by one degree. Internal stresses for thermal strain problems and a plastic strain problem are calculated by this method. The accuracy and effectiveness of this method is discussed, compared with the conventional numerical integral method.
社団法人日本機械学会の論文
1987-12-25