A semi-infinite crack grows at a constant subcritical speed along the interface of rigidly bonded, dissimilar transversely isotropic, coupled thermoelastic half-spaces. Shear and normal loads that move on the crack faces drive the process. A dynamic steady state of plane strain is considered. Robust asymptotic full-field solutions for the related problem of translating interface disturbances are first obtained. These lead to coupled singular integral equations for the crack problem that are solved analytically. Expressions for the crack opening components and discontinuity in temperature between crack faces, the traction and temperature change ahead of the crack, and debonding energy rate are presented. These show that the critical crack speed is the minimum of the two Rayleigh speeds and, if it exists, the Stoneley speed. The case of zinc bonded to a thermally inert rigid solid is examined, and calculations for interface temperature change and debonding energy rate given. Apart from any fracture criterion, these parameters show sensitivity to crack speed and to the extent which compressive crack face loading dominates shear loading. Indeed, interface temperature change may decrease in magnitude with crack speed when shear loading dominates.
The Coupled Thermoelastic Transversely Isotropic Bimaterial: Interface Crack Extension
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, October 28, 2003; final revision, May 28, 2004. Associate Editor: H. Gao. Discussion on the paper should be addressed to the Editor, Professor 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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Brock, L. M. (February 1, 2005). "The Coupled Thermoelastic Transversely Isotropic Bimaterial: Interface Crack Extension ." ASME. J. Appl. Mech. January 2005; 72(1): 68–75. https://doi.org/10.1115/1.1825435
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