Green's Functions for Torsional Body Force Problems of an Elastic Thick Infinite Plate and Their Application : A Finite Solid Cylinder Twisted by Rigid Chucks

Abstract

The principal object of this paper are to show (i) a general method of solution for torsional body force problems of an elastic thick infinite plate, (ii) Green's functions for the torsional body force problems mentioned above and (iii) a numerical method of solution for elastic problems of a circular solid finite length cylinder twisted by a pair of axisymmetric rigid chucks. Green's functions shown in the paper are defined as solutions to the elastic problem of an infinite thick plate subjected to torsional body forces acting on a circle in the interior of the plate. The numerical method for solid cylinders is an application of Green's functions shown in the paper. That is, solutions to the solid cylinder are constructed by Green's functions for torsional body force problems of the thick plate. Numerical examples for the problem of the solid cylinder are given.