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Evaluation of the T-stress in branch crack problem

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Abstract

This paper investigates the T-stress in the branch crack problem. The problem is modeled by a continuous distribution of dislocation along branches, and the relevant singular integral equation is obtained accordingly. After discretization of the singular integral equation, the balance for the number of equations and unknowns is well designed. After the singular integral equation is solved, the equation for evaluating the T-stress is derived. The merit of present study is to provide necessary equation for evaluating T-stress, rather than to provide the integral equation. Many computed results for T-stress under different conditions for branch crack are presented. It is found from the computed results that the interaction for T-stress among branches is complicated.

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Authors and Affiliations

  1. Division of Engineering Mechanics, Jiangsu University, 212013, Zhenjiang, Jiangsu, People’s Republic of China

    Y. Z. Chen & X. Y. Lin

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  1. Y. Z. Chen
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  2. X. Y. Lin
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Correspondence to Y. Z. Chen.

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Chen, Y.Z., Lin, X.Y. Evaluation of the T-stress in branch crack problem. Int J Fract 161, 175–185 (2010). https://doi.org/10.1007/s10704-010-9451-3

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  • DOI: https://doi.org/10.1007/s10704-010-9451-3

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