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We define a weight function in a bi-material strip containing a semi-infinitecrack and an imperfect interface and analyse a problem of anti-plane shear. Wethen present an asymptotic algorithm which uses the weight function to evaluatethe coefficients in asymptotics of solutions to problems of wave propagation ina thin bi-material strip containing a periodic array of cracks situated at theinterface between two materials.

multiscale modeling and simulation

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