境界要素法による境界の応力の計算法に関する考察

概要

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Accurate computation of boundary stress components is impotant in some engineering problems such as structural shape optimization. In the present paper, we propose a new approach to calculate the boudary stress components using the boundary integral equation which relates the boundary displacement gradients to the boundary tractions. Although the original integral equation must be evaluated in the sense of the Cauchy principle value, it can be regularized by subtracting and adding back the displacement gradients at the source point and can be evaluated numerically using the standard Gaussian quadrature. Numerical implementation of the proposed integral equation is presented and the effectiveness of the approach is also discussed through some numerical demonstrations.
一般社団法人日本機械学会の論文
1991-09-25