The r−1/2 (ln r) Singularities at Interface Cracks in Monoclinic and Isotropic Bimaterials due to Heat Flow

[+] Author and Article Information
G. Yan, T. C. T. Ting

Department of Civil Engineering, Mechanics, and Metallurgy, University of Illinois at Chicago, Chicago, IL 60680

J. Appl. Mech 60(2), 432-437 (Jun 01, 1993) (6 pages) doi:10.1115/1.2900811 History: Received April 24, 1992; Revised December 10, 1992; Online March 31, 2008


It is known that the stress singularities at an interface crack tip of bimaterials with the effects of heat flow may have the form r −1/2 (ln r ). The existence conditions of the higher order singularitiy r −1/2 (ln r ) are studied for monoclinic bimaterials whose plane of symmetry is at x3 = 0. It is shown that the higher order singularity does not exist if the bimaterial is mismatched. If the bimaterial is non-mismatched, the higher order singularity does not exist when a certain condition is satisfied. This condition is given explicitly for monoclinic bimaterials with the plane of symmetry of x3 = 0 and in a simple form for isotropic bimaterials.

Copyright © 1993 by The American Society of Mechanical Engineers
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