Evaluation of the Lazarus-Leblond constants in the asymptotic model of the interfacial wavy crack

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dc.contributor.author Mishuris, Gennady
dc.contributor.author Piccolroaz, A.
dc.contributor.author Movchan, A. B.
dc.date.accessioned 2009-10-26T11:30:44Z
dc.date.available 2009-10-26T11:30:44Z
dc.date.issued 2007-08
dc.identifier.citation Mishuris , G , Piccolroaz , A & Movchan , A B 2007 , ' Evaluation of the Lazarus-Leblond constants in the asymptotic model of the interfacial wavy crack ' Journal of the Mechanics and Physics of Solids , vol 55 , no. 8 , pp. 1575-1600 . en
dc.identifier.issn 0022-5096
dc.identifier.other PURE: 125160
dc.identifier.other dspace: 2160/3327
dc.identifier.uri http://hdl.handle.net/2160/3327
dc.description Piccolroaz, A; Mishuris, G; Movchan, AB. Evaluation of the Lazarus-Leblond constants in the asymptotic model of the interfacial wavy crack. Journal of the mechanics and Physics of Solids. 2007, 55(8), 1575-1600 en
dc.description.abstract The paper addresses the problem of a semi-infinite plane crack along the interface between two isotropic half-spaces. Two methods of solution have been considered in the past: Lazarus and Leblond [1998a. Three-dimensional crack-face weight functions for the semi-infinite interface crack-I: variation of the stress intensity factors due to some small perturbation of the crack front. J. Mech. Phys. Solids 46, 489-511, 1998b. Three-dimensional crack-face weight functions for the semi-infinite interface crack-II: integrodifferential equations on the weight functions and resolution J. Mech. Phys. Solids 46, 513-536] applied the 'special' method by Bueckner [1987. Weight functions and fundamental fields for the penny-shaped and the half-plane crack in three space. Int. J. Solids Struct. 21 57-93] and found the expression of the variation of the stress intensity factors for a wavy crack without solving the complete elasticity problem; their solution is expressed in terms of the physical variables, and it involves five constants whose analytical representation was unknown; on the other hand, the 'general' solution to the problem has been recently addressed by Bercial-Velez et al. [2005. High-order asymptotics and perturbation problems for 3D interfacial cracks. J. Mech. Phys. Solids 53, 1128-1162], using a Wiener-Hopf analysis and singular asymptotics near the crack front. The main goal of the present paper is to complete the solution to the problem by providing the connection between the two methods. This is done by constructing an integral representation for Lazarus-Leblond's weight functions and by deriving the closed form representations of Lazarus-Leblond's constants. en
dc.format.extent 26 en
dc.language.iso eng
dc.relation.ispartof Journal of the Mechanics and Physics of Solids en
dc.title Evaluation of the Lazarus-Leblond constants in the asymptotic model of the interfacial wavy crack en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1016/j.jmps.2007.02.001
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Mathematical Modelling of Structures, Solids and Fluids en
dc.description.status Peer reviewed en


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