Moving interfacial Griffith crack between bonded dissimilar media

The plane strain problem of determining strain energy release rate, crack energy, and crack-opening displacement (COD) for a moving Griffith crack at the interface of two dissimilar orthotropic half-planes is considered. The problem is reduced to a pair of singular integral equations of second kind...

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Main Authors: S. Mukherjee, S. Das
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/JAM.2005.289
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author S. Mukherjee
S. Das
author_facet S. Mukherjee
S. Das
author_sort S. Mukherjee
collection DOAJ
description The plane strain problem of determining strain energy release rate, crack energy, and crack-opening displacement (COD) for a moving Griffith crack at the interface of two dissimilar orthotropic half-planes is considered. The problem is reduced to a pair of singular integral equations of second kind which have finally been solved by using Jacobi polynomials. Graphical plots of the strain energy release rate, crack energy, and crack-opening displacement for the problem in different particular cases are presented.
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institution Kabale University
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publishDate 2005-01-01
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spelling doaj-art-4f185e09ddc64665abd156b9dc326b472025-02-03T01:31:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422005-01-012005328929910.1155/JAM.2005.289Moving interfacial Griffith crack between bonded dissimilar mediaS. Mukherjee0S. Das1Department of Mathematics, B. P. Poddar Institute of Management and Technology, Poddar Vihar, 137 V. I. P. Road, Calcutta 700052, West Bengal, IndiaDepartment of Mathematics, B. P. Poddar Institute of Management and Technology, Poddar Vihar, 137 V. I. P. Road, Calcutta 700052, West Bengal, IndiaThe plane strain problem of determining strain energy release rate, crack energy, and crack-opening displacement (COD) for a moving Griffith crack at the interface of two dissimilar orthotropic half-planes is considered. The problem is reduced to a pair of singular integral equations of second kind which have finally been solved by using Jacobi polynomials. Graphical plots of the strain energy release rate, crack energy, and crack-opening displacement for the problem in different particular cases are presented.http://dx.doi.org/10.1155/JAM.2005.289
spellingShingle S. Mukherjee
S. Das
Moving interfacial Griffith crack between bonded dissimilar media
Journal of Applied Mathematics
title Moving interfacial Griffith crack between bonded dissimilar media
title_full Moving interfacial Griffith crack between bonded dissimilar media
title_fullStr Moving interfacial Griffith crack between bonded dissimilar media
title_full_unstemmed Moving interfacial Griffith crack between bonded dissimilar media
title_short Moving interfacial Griffith crack between bonded dissimilar media
title_sort moving interfacial griffith crack between bonded dissimilar media
url http://dx.doi.org/10.1155/JAM.2005.289
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