Interaction of Three Interfacial Cracks between an Orthotropic Half-Plane Bonded to a Dissimilar Orthotropic Layer with Punch-Reference-Cited by-同舟云学术

Interaction of Three Interfacial Cracks between an Orthotropic Half-Plane Bonded to a Dissimilar Orthotropic Layer with Punch

Published:2017-10-09 Issue:11 Volume:72 Page:1021-1029
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Mishra P.K.¹,Singh P.¹,Das S.¹

Affiliation:

1. Department of Mathematical Sciences , Indian Institute of Technology (BHU) , Varanasi 221005 , India

Abstract

Abstract This article deals with the interactions between a central crack and a pair of outer cracks situated at the interface of an orthotropic elastic half-plane bonded to a dissimilar orthotropic layer with a punch. The problem is reduced to the solution of three simultaneous singular integral equations that are finally solved using Jacobi polynomials. The phenomena of crack shielding and crack amplification have been depicted through graphs for different particular cases.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2017-0099/pdf

Reference30 articles.

1. R. J. Tait and T. B. Moodie, Int. J. Eng. Sci. 19, 221 (1981).10.1016/0020-7225(81)90022-7

2. B. M. Singh and R. S. Dhaliwal, ZAMM – J. Appl. Math. Mech. 64, 31 (1984).10.1002/zamm.19840640106

3. V. V. Loboda and T. R. Tauchert, Int. J. Eng. Sci. 23, 1337 (1985).10.1016/0020-7225(85)90112-0

4. E. Viola and A. Piva, Proc. VIII AIMETA, Torino 1, 155 (1986).

5. A. Piva and E. Viola, Eng. Fract. Mech. 29, 535 (1988).10.1016/0013-7944(88)90179-8

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