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

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  • Wen-bin Zhao
  • Zhi-xin Hu
  • Xue-xia Zhang
  • Hai-ling Xie

Abstract

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.

Suggested Citation

  • Wen-bin Zhao & Zhi-xin Hu & Xue-xia Zhang & Hai-ling Xie, 2013. "The Static Stress Intensity Factor around the Antiplane Crack in an Infinite FGM Strip," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-6, June.
    • Handle: RePEc:hin:jnlmpe:628934
    DOI: 10.1155/2013/628934
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