A Green’s Function Formulation of Anticracks and Their Interaction With Load-Induced Singularities

[+] Author and Article Information
John Dundurs

Northwestern University, Evanston, Ill. 60208

Xanthippi Markenscoff

University of California, San Diego, La Jolla, Calif. 92093

J. Appl. Mech 56(3), 550-555 (Sep 01, 1989) (6 pages) doi:10.1115/1.3176126 History: Received May 19, 1988; Revised March 03, 1989; Online July 21, 2009


This paper provides a Green’s function formulation of anticracks (rigid lamellar inclusions of negligible thickness that are bonded to the surrounding elastic material). Apart from systematizing several previously known solutions, the article gives the pertinent fields for concentrated forces, dislocations, and a concentrated couple applied on the line of the anticrack. There is a reason for working out these results: In contrast to concentrated forces, a concentrated couple approaching the tip of an anticrack makes the elastic fields explode. Finite limits can be achieved, however, by appropriately diminishing the magnitude of the couple, which then leads to fields that are intimately connected with the weight functions for the anticrack. An edge dislocation going to the tip of an anticrack puts a net force on the lamellar inclusion, which is shown to be related to a previously known feature of dislocations near a bimaterial interface.

Copyright © 1989 by ASME
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