Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material

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dc.contributor.author Mishuris, Gennady
dc.contributor.author Movchan, Natasha
dc.contributor.author Movchan, Alexander
dc.contributor.author Piccolroaz, Andrea
dc.date.accessioned 2012-05-14T12:16:38Z
dc.date.available 2012-05-14T12:16:38Z
dc.date.issued 2012-01-14
dc.identifier.citation Mishuris , G , Movchan , N , Movchan , A & Piccolroaz , A 2012 , ' Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material ' International Journal of Solids and Structures , vol 49 , no. 1 , pp. 244-255 . , 10.1016/j.ijsolstr.2011.10.006 en
dc.identifier.other PURE: 175888
dc.identifier.other dspace: 2160/7829
dc.identifier.uri http://hdl.handle.net/2160/7829
dc.description A. Piccolroaz, G. Mishuris, A. Movchan and N. Movchan. Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material. International Journal of Solids and Structures, 2012, 49, 244-255. en
dc.description.abstract The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as microcracks, rigid line inclusions and voids. It is assumed that the bonding between dissimilar elastic materials is weak so that the interface is a preferential path for the crack. The perturbation analysis is made possible by means of the fundamental solutions (symmetric and skew-symmetric weight functions) derived in Piccolroaz et al. (2009). We derive the dipole matrices of the defects in question and use the corresponding dipole fields to evaluate effective tractions along the crack faces and interface to describe the interaction between the main interfacial crack and the defects. For a stable propagation of the crack, the perturbation of the stress intensity factor induced by the defects is then balanced by the elongation of the crack along the interface, thus giving an explicit asymptotic formula for the calculation of the crack advance. The method is general and applicable to interfacial cracks with general distributed loading on the crack faces, taking into account possible asymmetry in the boundary conditions. The analytical results are used to analyse the shielding and amplification effects of various types of defects in different configurations. Numerical computations based on the explicit analytical formulae allows for the analysis of crack propagation and arrest. en
dc.format.extent 12 en
dc.language.iso eng
dc.relation.ispartof International Journal of Solids and Structures en
dc.title Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1016/j.ijsolstr.2011.10.006
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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