Stress Singularity at the Corner of a Wedge-Shaped Crack or Inclusion

[+] Author and Article Information
K. S. Parihar, L. M. Keer

Department of Civil Engineering, Northwestern University, Evanston, Ill. 60201

J. Appl. Mech 45(4), 791-796 (Dec 01, 1978) (6 pages) doi:10.1115/1.3424420 History: Received November 01, 1977; Online July 12, 2010


The problems of shear loading of a crack having a wedge-shaped planform and of a planar, wedge-shaped inclusion are considered. A Green’s function formulation is used and the problem of finding the corner stress singularity is reduced to an eigenvalue problem of a simultaneous pair of singular integral equations. For large crack angles (i.e., a crack with angle nearly 2π) the integral equations can be solved and an approximate equation for the eigenvalue derived. The integral equations are solved numerically for the general case.

Copyright © 1978 by ASME
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