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Mathematical Problems in Engineering
Volume 2013, Article ID 628934, 6 pages
Research Article

The Static Stress Intensity Factor around the Antiplane Crack in an Infinite FGM Strip

School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China

Received 16 April 2013; Accepted 28 May 2013

Academic Editor: Marcelo Moreira Cavalcanti

Copyright © 2013 Wen-bin Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The problem of the static stress intensity factor around antiplane crack in an infinite strip functionally graded material was studied by using the method of integral transform-dual integral equations in this paper. The shear modulus in the two principal directions of the functionally graded material was assumed to vary proportionately as gradient model of double parameters index function. The partial differential equation was first reduced to Euler equation with Fourier cosine transform. By solving dual integral equations that were derived by applying the solution of Euler equation with the method of Copson, stress intensity factor around the crack tip was derived. And the variation curves of the dimensionless stress intensity factor with the strip height, crack length, gradient parameter, and inhomogeneous coefficient are obtained by using the numerical calculation.