半無限体中の半球ピットに埋め込まれた弾性体のねじり : 物体力分布による解法

概要

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A method of solution is developed for the torsion problem of a hemispherical elastic solid embedded in an elastic half space. It is assumed that the contact surface between these elastic bodies are perfectly bonded to each other, and the flat plane of the hemispherical solid is subjected to a torsional displacement by a rigid circular stamp. This problem becomes the so-called Reissner-Sagoci problem if we assume that the elastic constants for a hemispherical solid are equal to those for a half space. The principle of the method of solution presented is to distribute torsional body forces so as to satisfy the boundary conditions at the contact surface. For this purpose, we use three analytical solutions that are (1) the solution for the so-called Reissner-Sagoci problem, (2) Green's functions for torsional body force problems of an elastic half space with a fixed boundary and (3) Green's functions for torsional body force problems of an elastic half space with a stress-free boundary. Numerical results are presented to show the influences of elastic constants on the distributions of stresses and displacements.
社団法人日本機械学会の論文
1989-05-25