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Anti-plane analysis of functionally graded materials weakened by several moving cracks

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Abstract

This paper considers several finite moving cracks in a non-homogeneous material. The shear modulus and mass density of the plane are considered for a class of functional forms for which equilibrium equation has analytical solutions. The distributed dislocation technique is used to carry out stress analysis in a non-homogeneous plane containing moving cracks under anti-plane loading. The solution of a moving screw dislocation is obtained in a non-homogeneous plane by means of Fourier transform method. The stress components reveal the familiar Cauchy singularity at the location of dislocation. The solution is employed to derive integral equations for a plane weakened by moving cracks. Finally several examples are solved to show the effects of the material non-homogeneity and speed of cracks on the stress intensity factors.

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Authors and Affiliations

  1. Faculty of Engineering, Islamic Azad University, Abhar Branch, P. O. Box 45195-313, Abhar, Iran

    Mojtaba Ayatollahi & Rasoul Moharrami

Authors
  1. Mojtaba Ayatollahi
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  2. Rasoul Moharrami
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Correspondence to Mojtaba Ayatollahi.

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Recommended by Associate Editor Jun-Sik Kim

Mojtaba Ayatollahi is an associated professor of mechanical engineering at the Department of Engineering at University of Zanjan. Dr. Ayatollahi graduated with an Ph.D from Amirkabir University of Technology (Tehran Polytechnic) in Iran in 2007. His research is the fracture mechanics and he has published 20 papers in the well-known journals since 2009.

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Ayatollahi, M., Moharrami, R. Anti-plane analysis of functionally graded materials weakened by several moving cracks. J Mech Sci Technol 26, 3525–3531 (2012). https://doi.org/10.1007/s12206-012-0867-8

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  • DOI: https://doi.org/10.1007/s12206-012-0867-8

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