Vol. 3, No. 1, 2008

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ISSN: 1559-3959
Effect of nonhomogeneity on the contact of an isotropic half-space and a rigid base with an axially symmetric recess

Sakti Pada Barik, Mridula Kanoria and Pranay Kumar Chaudhuri

Vol. 3 (2008), No. 1, 1–18
Abstract

We study an axially symmetric frictionless contact problem between a nonhomogeneous elastic half-space and a rigid base that has a small axisymmetric surface recess. We reduce the problem to solving Fredholm integral equations, solve these equations numerically, and establish a relationship between the applied pressure and the gap radius. We find and graph the effects of nonhomogeneity on the normal pressure, critical pressure and on the surface displacement.

Keywords
Hankel transform, dual integral equation, Fredholm integral equation, elastic nonhomogeneity
Milestones
Received: 7 March 2007
Accepted: 7 March 2007
Published: 11 March 2008
Authors
Sakti Pada Barik
Department of Applied Mathematics
University Calcutta
92, A.P.C. Road
Kolkata 700 009
India
Mridula Kanoria
Department of Applied Mathematics
University Calcutta
92, A.P.C. Road
Kolkata 700 009
India
Pranay Kumar Chaudhuri
Department of Applied Mathematics
University Calcutta
92, A.P.C. Road
Kolkata 700 009
India