Evaluation of T-stress for a hypocycloid hole in an infinite plate

Y.Z. Chen (Division of Engineering Mechanics, Jiangsu University, Zhenjiang, China)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Publication date: 18 November 2013



This paper is devoted to the evaluation of the T-stress for a hypocycloid hole in an infinite plate. The remote tractions are applied for the infinite plate containing the hypocycloid hole. After using the conformal mapping, an elasticity solution is obtained, and the T-stress at the cusp tip can be abstracted from this solution. The paper aims to discuss these issues.


Conformal mapping technique is used for solving the T-stress problem for a hypocycloid cusp hole problem.


The present study proves that the cusp configuration has a significant influence to the value of T-stress at cusp crack tip.


A closed form solution for the T-stress in cusp crack is first obtained in the submission.



Chen, Y.Z. (2013), "Evaluation of T-stress for a hypocycloid hole in an infinite plate", Multidiscipline Modeling in Materials and Structures, Vol. 9 No. 4, pp. 450-461. https://doi.org/10.1108/MMMS-12-2011-0010

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