Weight function in a bimaterial strip containing an interfacial crack and an imperfect interface. application to Bloch-Floquet analysis in a thin inhomogeneous structure with cracks

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Abstract

We define a weight function in a bimaterial strip containing a semi-infinite crack and an imperfect interface and analyze a problem of antiplane shear. We then present an asymptotic algorithm that uses the weight function to evaluate the coefficients in asymptotics of solutions to problems of wave propagation in a thin bimaterial strip containing a periodic array of cracks situated at the interface between two materials.
Original languageEnglish
Pages (from-to)1327-1349
Number of pages23
JournalMultiscale Modeling and Simulation: A SIAM Interdisciplinary Journal
Volume9
Issue number4
DOIs
Publication statusPublished - 13 Jun 2012

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