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Frictionless Contact of a Functionally Graded Half-Space and a rigid Base with an Axially Symmetric Recess

Published online by Cambridge University Press:  05 May 2011

S. P. Barik ,
M. Kanoria  and
P. K. Chaudhuri
S. P. Barik*
Affiliation:
Departmemt of Mathematics, Gobardanga Hindu College, Khantura, 24-Parganas (N), West Bengal, India
M. Kanoria*
Affiliation:
Department of Applied Mathematics, University of Calcutta 92, A.P.C. Road, Kolkata 700009, India
P. K. Chaudhuri*
Affiliation:
Department of Applied Mathematics, University of Calcutta 92, A.P.C. Road, Kolkata 700009, India
*
* corresponding author
** Professor
** Professor
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Abstract

This paper is concerned with an axially symmetric frictionless contact between an elastically transversely isptropic functionally graded half-space and a rigid base that has a small axisymmetric surface recess. The graded half-space is modeled as a nonhomogeneous medium. We reduce the problem to solving Fredholm integral equations, solve these equations numerically and establish a relationship between the applied pressure and gap radius. The effects of anisotropy and nonhomogeneity parameter of the graded half-space on the normal pressure as well as on the critical pressure have been shown graphically.

Keywords

Functionally graded materialTransversely isotropic mediumHankel transformFredholmintegral equation.

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Type
Articles
Information
Journal of Mechanics , Volume 25 , Issue 1 , March 2009 , pp. 9 - 18
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

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