Mode III fracture of an arbitrary oriented crack in two dimensional functionally graded material |
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| Authors: | Mohammad R Torshizian Mohammad H Kargarnovin Cyrus Nasirai |
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| Institution: | a Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;b Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran;c Islamic Azad University, Mashhad Branch, Mashhad, Iran |
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| Abstract: | In this paper, a two dimensional functionally graded material (2D-FGM) under an anti-plane load with an internal crack is considered. The crack is oriented in an arbitrary direction. The material properties are assumed to vary exponentially in two planar directions. The problem is analyzed and solved by two different methods namely Fourier integral transforms with singular integral equation technique, and then by the finite element method. The effects of crack orientation, material non-homogeneity, and other parameters on the value of stress intensity factor (SIF) are studied. Finally, the obtained results for Mode III stress intensity factor of different methods are compared. |
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| Keywords: | Two dimensional functionally graded material (2D-FGM) Arbitrary oriented crack Singular integral equations Stress intensity factor Finite element method |
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