Corner Singularities of Three-Dimensional Planar Interface Cracks

[+] Author and Article Information
F. Ghahremani, C. F. Shih

Division of Engineering, Brown University, Providence, RI 02912

J. Appl. Mech 59(1), 61-68 (Mar 01, 1992) (8 pages) doi:10.1115/1.2899465 History: Received March 15, 1990; Revised August 08, 1990; Online March 31, 2008


Very high stresses develop near the intersection of a planar interfacial crack with the free surface of joined materials with large mismatch of elastic moduli. The socalled corner singularity is more singular than the 1/distance singularity of the interior fields. The eigenvalues corresponding to the most singular state, and for which the strain energy of a finite cone is bounded, are in general complex. For a wide selection of material pairs, our calculations show that the eigenvalue of the dominant singularity, 0(r−s ) , is real and s increases from 0.5 to about 0.75 as the moduli mismatch increases. Values of s are reported for a broad range of material combinations. A class of anisotropic materials and bicrystals is also investigated.

Copyright © 1992 by The American Society of Mechanical Engineers
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