Vol. 6, No. 7-8, 2011

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ISSN: 1559-3959
Three-dimensional BEM analysis to assess delamination cracks between two transversely isotropic materials

Nicolás O. Larrosa, Jhonny E. Ortiz and Adrián P. Cisilino

Vol. 6 (2011), No. 7-8, 1103–1123
Abstract
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Beyond the inherent attribute of reducing the dimensionality of the problem, the attraction of the boundary element method (BEM) for dealing with fracture mechanic problems is its accuracy in solving strong geometrical discontinuities. Within this context, a three-dimensional implementation of the energy domain integral (EDI) for the analysis of interface cracks in transversely isotropic bimaterials is presented in this paper. The EDI allows extending the two-dimensional J-integral to three dimensions by means of a domain representation naturally compatible with the BEM, in which the required stresses, strains, and derivatives of displacements are evaluated using their appropriate boundary integral equations. To this end, the BEM implementation uses a set of recently introduced fundamental solutions for transversely isotropic materials. Several examples are solved in order to demonstrate the efficiency and accuracy of the implementation for solving straight and curved crack-front problems.

Keywords
three-dimensional interface cracks, transversely isotropic bimaterials, energy domain integral, boundary element method
Milestones
Received: 19 June 2010
Revised: 11 December 2010
Accepted: 4 February 2011
Published: 21 December 2011
Authors
Nicolás O. Larrosa
Departamento de Ingeniería Mecánica y de los Materiales
Escuela Técnica Superior de Ingeniería
Universidad de Sevilla
Camino Descubrimientos, s/n
41092 Sevilla
Spain
Jhonny E. Ortiz
Departamento de Mecánica de Medios Continuos
Escuela Técnica Superior de Ingeniería
Universidad de Sevilla
Camino Descubrimientos, s/n
41092 Sevilla
Spain
Adrián P. Cisilino
División Soldadura y Fractomecánica
Instituto de Investigaciones en Ciencia y Tecnología de Materiales
Facultad de Ingeniería
Universidad Nacional de Mar del Plata - Consejo Nacional de Investigaciones Científicas
Av. Juan B. Justo 4302
B7608FDQ Mar del Plata
Argentina