A nonlinear symmetry breaking effect in shear cracks

Roi Harpaz, Eran Bouchbinder

Research output: Contribution to journalArticlepeer-review

Abstract

Shear cracks propagation is a basic dynamical process that mediates interfacial failure. We develop a general weakly nonlinear elastic theory of shear cracks and show that these experience tensile-mode crack tip deformation, including possibly opening displacements, in agreement with Stephenson's prediction. We quantify this nonlinear symmetry breaking effect, under two-dimensional deformation conditions, by an explicit inequality in terms of the first and second order elastic constants in the quasi-static regime and by semi-analytic calculations in the fully dynamic regime. Our general results are applied to various materials. Finally, we discuss related works in the literature and note the potential relevance of elastic nonlinearities for various problem, including frictional sliding. (C) 2012 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)1703-1709
Number of pages7
JournalJournal of the Mechanics and Physics of Solids
Volume60
Issue number10
DOIs
StatePublished - Oct 2012

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