Bulletin of JSME
Online ISSN : 1881-1426
Print ISSN : 0021-3764
Green's Functions for Axisymmetric Body Force Problems of an Elastic Half Space and Their Application : An Elastic Half Space with a Hemispherical Pit
Hisao HASEGAWA
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1984 Volume 27 Issue 231 Pages 1829-1835

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Abstract
The principal object of this paper is to show Green's functions for axisymmetric body force problems of an elastic half space. Green's functions are defined as solutions to the problem of an elastic half space subjected to axisymmetric body forces acting on a circle in (i) radial, (ii) circumferential and (iii) axial directions, respectively. It is assumed that the boundary surface of the half space is stress free from applied surface forces. As an example of application of Green's functions shown in this paper, a method of solution is proposed for stress concentration problems of a half space with a hemispherical pit. Numerical results are compared with the results known. The method of solution proposed here may be called an application of the so-called body force method.
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© The Japan Society of Mechanical Engineers
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