A generalized elastic solution for an arbitrarily propagating transient crack in functionally graded materials (FGMs) is obtained through an asymptotic analysis. The shear modulus and mass density of the FGM are assumed to vary exponentially along the gradation direction. The out-of-plane displacement field and its gradients about the crack tip were obtained in powers of radial coordinates, with the coefficients depending on the time rates of change of crack tip speed and stress intensity factor. The effects of the transient terms on the contours of constant out-of-plane displacement are duly discussed.
Transient Elastodynamic Crack Growth 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 Applied Mechanics Division, August 25, 2003; final revision, August 3, 2004. Editor: K. Ravi-Chandar. 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 in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Chalivendra, V. B., and Shukla, A. (March 15, 2005). "Transient Elastodynamic Crack Growth in Functionally Graded Materials ." ASME. J. Appl. Mech. March 2005; 72(2): 237–248. https://doi.org/10.1115/1.1831292
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