#### Vol. 3, No. 9, 2008

 Recent Issues
 The Journal About the Journal Editorial Board Subscriptions Submission Guidelines Submission Form Ethics Statement ISSN: 1559-3959 Author Index To Appear Other MSP Journals
Crack front position and crack back position techniques for evaluating the $T\hskip-1pt$-stress at crack tip using functions of a complex variable

### Y. Z. Chen, Z. X. Wang and X. Y. Lin

Vol. 3 (2008), No. 9, 1659–1673
##### Abstract

In this paper, the crack front position and the crack back position techniques for evaluating the $T$-stress using complex variables are suggested. In the crack front technique, an expression for stress components in the crack front position is expressed through a complex variable. The limit value of the expression from the crack front position will give the $T$-stress. In the crack back technique, the other expression of stress components in the crack back position is expressed through the complex variable. The limit value of the expression from the crack back position will give the $T$-stress. The suggested techniques are used to evaluate $T$-stress in the arc crack and the curved crack problems. It is found from a detailed derivation that both techniques give the same result in the crack problem. Numerical examples are carried out for two problems: an elliptic crack with a central crack and a curved crack with parabolic configuration.

##### Keywords
$T\hskip-1pt$-stress, crack, crack front position technique, crack back position technique, arc crack, numerical solution
##### Milestones
Revised: 27 July 2008
Accepted: 14 August 2008
Published: 1 November 2008
##### Authors
 Y. Z. Chen Division of Engineering Mechanics Jiangsu University Xue Fu Road 301 Zhenjiang, Jiangsu 212013 China Z. X. Wang Division of Engineering Mechanics Jiangsu University Xue Fu Road 301 Zhenjiang, Jiangsu 212013 China X. Y. Lin Division of Engineering Mechanics Jiangsu University Xue Fu Road 301 Zhenjiang, Jiangsu 212013 China