Stress field for stationary cracks, aligned along the gradient, in functionally graded materials is obtained through an asymptotic analysis coupled with Westergaard’s stress function approach. The first six terms of the stress field are obtained for both opening mode and shear mode loading. It is observed that the structure of the terms other than and are influenced by the nonhomogeneity. Using this stress field, contours of constant maximum shear stress are generated and the effect of nonhomogeneity on these contours is discussed.
Asymptotic Stress Fields for Stationary Cracks Along the Gradient in Functionally Graded Materials
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, February 1, 2001; final revision, November 16, 2001. Associate Editor: K. Ravi-Chandar. Discussion on the paper should be addressed to the Editor, Prof. Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Parameswaran, V., and Shukla, A. (May 3, 2002). "Asymptotic Stress Fields for Stationary Cracks Along the Gradient in Functionally Graded Materials ." ASME. J. Appl. Mech. May 2002; 69(3): 240–243. https://doi.org/10.1115/1.1459072
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