境界要素法による弾性問題解析の高精度化

概要

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In the present paper, a formulation of the boundary element method (BEM) for elastic problems based on the non singular boundary integral representation is suggested. In the conventional analysis by BEM, the accuracy of the numerical results is generally geverned by the numerical treatment of the singular kernel included in the integral equations. In the present procedure, a reference field equation for a uniform gradient of the displacement is superposed on the original one to regularize the singularity of the integrand. In addition, the same technique is applied to the integral equations for inner points in order to obtain highly accurate results in the area very close to the boundary. Numerical calculation for fundamental problems is carried out to confirm the validity of the present formulation, and it is shown that unknown nodal values along the boundary are more accurate than those obtained by general formulation and the accuracy of the displacement and stress even in the vicinity of the boundary has been clearly improved.
社団法人日本機械学会の論文
1996-05-25