軸対称ねじり弾性問題の新しい基本解とその応用

概要

論文の詳細を見る
This paper shows new fundamental solutions for axisymmetric torsion problems of elasticity. The new fundamental solutions are defined as solutions to the problems of an infinite elastic solid subjected to torsional body forces acting uniformly on area elements. The area elements used here are an annular plane and a cylindrical plane in an infinite elastic solid. A fundamental solution in elasticity is defined as a solution for a point force problem. A fundamental solution for axisymmetric torsion problems of elasticity as usual is defined as a solution to the problem of an infinite solid subjected to a torsional body force acting along a circle. The new fundamental solutions presented here may be regarded as solutions obtained from the fundamental solutions as usual by integrations on the area elements. To obtain the new fundamental solutions, here we use a method of solution for axisymmetric body force problems shown in a previous paper. Applying the new fundamental solutions, we consider the torsion problem of an elastic solid with a rigid cylindrical inclusion or disklike inclusion. Stress singularity at the corner of inclusion is investigated.
一般社団法人日本機械学会の論文
2003-12-25