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A three-dimensional parabolic punch problem in linear elasticity

✍ Scribed by A. Darai; F. M. Arscott

Book ID
104634072
Publisher
Springer
Year
1990
Tongue
English
Weight
672 KB
Volume
24
Category
Article
ISSN
0022-0833

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✦ Synopsis

In this paper an analytic solution for a three-dimensional contact problem, in linear elasticity, is constructed through the separation of Laplace's equation in paraboloidal coordinates. A rigid punch under normal loading is applied to an isotropic elastic medium occupying an infinite half-space where the contact region is parabolic and the punch profile is prescribed. This treatment allows for a general punch profile provided it is physically reasonable so as to ensure the convergence of the solution.

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