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The mixed-mode fracture mechanics analysis of an embedded arbitrary oriented crack in a two-dimensional functionally graded material plate

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Abstract

Mixed-mode fracture mechanics analysis of an embedded arbitrarily oriented crack in a two-dimensional functionally graded material using plane elasticity theory is considered. The material properties are assumed to vary exponentially in two planar directions. Then, employing Fourier integral transforms with singular integral equation technique, the problem is solved. The stress intensity factors (SIFs) at the crack tips are calculated under in-plane mechanical loads. Finally, the effects of crack orientation, material non-homogeneity, and other parameters are discussed on the value of SIF in mode I and mode II fracture.

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Authors and Affiliations

  1. Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran

    Mohammad H. Kargarnovin

  2. Mechanical Engineering Department, Mashhad Branch, Islamic Azad University, Mashhad, Iran

    Mohammad R. Torshizian

Authors
  1. Mohammad R. Torshizian
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  2. Mohammad H. Kargarnovin
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Correspondence to Mohammad R. Torshizian.

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Torshizian, M.R., Kargarnovin, M.H. The mixed-mode fracture mechanics analysis of an embedded arbitrary oriented crack in a two-dimensional functionally graded material plate. Arch Appl Mech 84, 625–637 (2014). https://doi.org/10.1007/s00419-014-0821-6

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  • DOI: https://doi.org/10.1007/s00419-014-0821-6

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