Closed-form solution for a mode-III interfacial edge crack between two bonded dissimilar elastic strips

Authors

Xiangfa Wu, Department of Engineering Mechanics, University of Nebraska-LincolnFollow
Yuris A. Dzenis, University of Nebraska - LincolnFollow

Date of this Version

9-2002

Comments

Published in Mechanics Research Communications 29:5 (September-October 2002), pp. 407–412; doi 10.1016/S0093-6413(02)00317-8 Copyright © 2002 Elsevier Science Ltd. Used by permission. http://www.elsevier.com/wps/product/cws_home/374

Abstract

A closed-form solution is obtained for the problem of a mode-III interfacial edge crack between two bonded semi-infinite dissimilar elastic strips. A general out-of-plane displacement potential for the crack interacting with a screw dislocation or a line force is constructed using conformal mapping technique and existing dislocation solutions. Based on this displacement potential, the stress intensity factor (SIF, K_III) and the energy release rate (ERR, G_III) for the interfacial edge crack are obtained explicitly. It is shown that, in the limiting special cases, the obtained results coincide with the results available in the literature. The present solution can be used as the Green’s function to analyze interfacial edge cracks subjected to arbitrary anti-plane loadings. As an example, a formula is derived correcting the beam theory used in evaluation of SIF (K_III) and ERR (G_III) of bimaterials in the double cantilever beam (DCB) test configuration.