Interaction between line cracks in an orthotropic layer

Author:

Das Subir1

Affiliation:

1. Department of Mathematics, B.P. Poddar Institute of Management and Technology Poddar Vihar, 137, VIP Road, Calcutta 52, India

Abstract

We deal with the interaction between three coplanar Griffith cracks located symmetrically in the mid plane of an orthotropic layer of finite thickness2h. The Fourier transform technique is used to reduce the elastostatic problem to the solution of a set of integral equations which have been solved by using the finite Hilbert transform technique and Cooke's result. The analytical expressions for the stress intensity factors at the crack tips are obtained for largeh. Numerical values of the interaction effect have been computed for and results show that interaction effects are either shielding or amplification depending on the location of each crack with respect to each other and crack tip spacing as well as the thickness of the layer.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Interaction among offset parallel cracks in an orthotropic plane under thermo‐mechanical loading;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2022-04-13

2. Study of collinear cracks in a composite medium subjected to time‐harmonic wave disturbance;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2021-02-17

3. Dynamic Stress Intensity Factors of Three Collinear Cracks in an Orthotropic Plate Subjected to Time-Harmonic Disturbance;Journal of Mechanics;2015-12-21

4. Multiple interacting cracks in an orthotropic layer;Archive of Applied Mechanics;2013-06-04

5. Interaction of three interfacial Griffith cracks between bonded dissimilar orthotropic half planes;International Journal of Solids and Structures;2007-08

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