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Three-dimensional BEM
analysis to assess delamination cracks between two
transversely isotropic materials
Nicolás O. Larrosa, Jhonny E. Ortiz and Adrián P. Cisilino |
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Vol. 6 (2011), No. 7-8, 1103–1123
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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
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Milestones
Received: 19 June 2010
Revised: 11 December 2010
Accepted: 4 February 2011
Published: 21 December 2011
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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 |
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| Jhonny E. Ortiz | |
| Departamento de Mecánica de Medios
Continuos Escuela Técnica Superior de Ingeniería Universidad de Sevilla Camino Descubrimientos, s/n 41092 Sevilla Spain |
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| 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 |
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