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Collinear Crack Problem in Antiplane Elasticity for a Strip of Functionally Graded Materials

Published online by Cambridge University Press:  05 May 2011

Y. Z. Chen
Y. Z. Chen*
Affiliation:
Division of Engineering Mechanics, Jiangsu University, Zhenjiang, Jiangsu, 212013, China
*
*Professor
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Abstract

In this paper, elastic analysis for a collinear crack problem in antiplane elasticity of functionally graded materials (FGMs) is present. An elementary solution is obtained, which represents the traction applied at a point “x” on the real axis caused by a point dislocation placed at a point “t” on the same real axis. The Fourier transform method is used to derive the elementary solution. After using the obtained elementary solution, the singular integral equation is formulated for the collinear crack problem. Furthermore, from the solution of the singular integral equation the stress intensity factor at the crack tip can be evaluated immediately. In the solution of stress intensity factor, influence caused by the materials property “α” is addressed. Finally, numerical solutions are presented.

Keywords

Functionally graded materialsStress intensity factorsSingular integral equation.
Type
Articles
Information
Journal of Mechanics , Volume 20 , Issue 3 , September 2004 , pp. 167 - 175
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2004

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