二次元弾性境界要素法の離散化に関する考察

概要

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Errors inclued in solutions of the boundary element method are caused by discretizing the boundary of analysed objects into many elements. In the present paper, the erron tendencies are discussed in order to have reasonable usage of the boundary element method in 2-D elastostatics. The main results are the following : (1) Solution error rates obtained by BEM depend on the boundary condition. However, the absolute values of the displacement error rates under traction conditions are equal to those of the traction error rates under the given displacement condition with different signs at some conditions. (2) In-plane bending cannot be practically solved by the constant or linear element discretization. Quadratic element discretization can give us a satisfactory solution for almost all objects. (3) The solution errors depend on Poisson's ratio before the solution converges.
一般社団法人日本機械学会の論文
1988-07-25