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ON AN ANTIPLANE CRACK PROBLEM FOR FUNCTIONALLY GRADED ELASTIC MATERIALS

Published online by Cambridge University Press:  21 April 2011

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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2011

References

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ON AN ANTIPLANE CRACK PROBLEM FOR FUNCTIONALLY GRADED ELASTIC MATERIALS
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