だ円形剛体介在物と接触荷重の二次元干渉問題の数値解析法

概要

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The method of continuously distributed dislocations model is applied to the elastic contact problem near an elliptic rigid inclusion. In this method, the rigid inclusion is replaced with the continuous array of edge dislocations along its interface and the boundary conditions are expressed as singular integral equations of the second kind in which the contact pressure distribution and the dislocation density are unknown. The dislocation density functions are approximated as the Fourier expansion series with finite number of terms and the singular integral equations are made to be satisfied at the selected collocation points, which reduce them into a set of linear algebraic equations. Some typical cases are solved numerically using the present method and the distributions of the contact pressure and the stress around the inclusion are calculated. It has been clarified that the solution converges rapidly as the number of the collocation points increases.
一般社団法人日本機械学会の論文
1999-12-25