Closed-form solution for the size of plastic zone in an edge-cracked strip

Authors

Xiang-Fa Wu, University of Nebraska-LincolnFollow
Yuris A. Dzenis, University of Nebraska - LincolnFollow

Date of this Version

9-2002

Comments

Published in International Journal of Engineering Science 40:15 (September 2002), pp. 1751–1759; doi: 10.1016/S0020-7225(02)00031-9 http://www.elsevier.com/wps/product/cws_home/278 Copyright © 2002 Elsevier Science Ltd. Used by permission.

Abstract

This paper is concerned with the problem of plastic zone at the tip of an edge crack in an isotropic elastoplastic strip under anti-plane deformations. By means of complex potential and Dugdale model, the stress intensity factor and the size of plastic zone are obtained in closed-form. Furthermore, the analytic solutions for an edge crack at the free boundary of a half-space and a semi-infinite crack heading towards a free surface are determined as the limiting cases of the strip geometries.