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ON AN ANTIPLANE CRACK PROBLEM FOR FUNCTIONALLY GRADED ELASTIC MATERIALS

Part of: Material properties given special treatment Elliptic equations and systems

Published online by Cambridge University Press:  21 April 2011

DAVID L. CLEMENTS
DAVID L. CLEMENTS*
Affiliation:
School of Mathematics, University of Adelaide, Adelaide, SA 5005, Australia (email: david.clements@adelaide.edu.au)
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Abstract

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This paper examines an antiplane crack problem for a functionally graded anisotropic elastic material in which the elastic moduli vary quadratically with the spatial coordinates. A solution to the crack problem is obtained in terms of a pair of integral equations. An iterative solution to the integral equations is used to examine the effect of the anisotropy and varying elastic moduli on the crack tip stress intensity factors and the crack displacement.

Keywords

crack problemsanisotropyfunctionally graded materials

MSC classification

Secondary: 35J25: Boundary value problems for second-order elliptic equations 74E10: Anisotropy

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 52 , Issue 1 , July 2010 , pp. 69 - 86
Copyright
Copyright © Australian Mathematical Society 2011

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