This paper considers a mode III crack problem for a functionally graded piezoelectric material strip. The mechanical and electrical properties of the strip are considered for a class of functional forms for which the equilibrium equation has an analytical solution. The problem is solved by means of singular integral equation technique. Both a single crack and two collinear cracks are investigated. The results are tabulated and plotted to show the effect of the material nonhomogeneity and crack location on the stress and electric displacement intensity factors.
A Mode III Crack in a Functionally Graded Piezoelectric Material Strip
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, September 19, 2002; final revision, Oct. 13, 2003. Associate Editor: H. Gao. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Journal of Applied Mechanics, Department of Mechanical and Environmental Engineering, University of California–Santa Barbara, Santa Barbara, CA 93106-5070, 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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Wang, B. L., and Zhang, X. H. (June 22, 2004). "A Mode III Crack in a Functionally Graded Piezoelectric Material Strip ." ASME. J. Appl. Mech. May 2004; 71(3): 327–333. https://doi.org/10.1115/1.1755692
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