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

Evaluation of T‐stress for a hypocycloid hole in an infinite plate Purpose – 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. Design/methodology/approach – Conformal mapping technique is used for solving the T‐stress problem for a hypocycloid cusp hole problem. Findings – The present study proves that the cusp configuration has a significant influence to the value of T‐stress at cusp crack tip. Originality/value – A closed form solution for the T‐stress in cusp crack is first obtained in the submission. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Multidiscipline Modeling in Materials and Structures Emerald Publishing

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

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Publisher
Emerald Publishing
Copyright
Copyright © 2013 Emerald Group Publishing Limited. All rights reserved.
ISSN
1573-6105
DOI
10.1108/MMMS-12-2011-0010
Publisher site
See Article on Publisher Site

Abstract

Purpose – 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. Design/methodology/approach – Conformal mapping technique is used for solving the T‐stress problem for a hypocycloid cusp hole problem. Findings – The present study proves that the cusp configuration has a significant influence to the value of T‐stress at cusp crack tip. Originality/value – A closed form solution for the T‐stress in cusp crack is first obtained in the submission.

Journal

Multidiscipline Modeling in Materials and StructuresEmerald Publishing

Published: Nov 15, 2013

Keywords: Conformal mapping technique; Cusp crack; T‐stress

References

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