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
Mathematical Physics
2013-08-21 v1 math.MP
Abstract
We define a weight function in a bi-material strip containing a semi-infinite crack and an imperfect interface and analyse a problem of anti-plane shear. We then present an asymptotic algorithm which uses the weight function to evaluate the coefficients in asymptotics of solutions to problems of wave propagation in a thin bi-material strip containing a periodic array of cracks situated at the interface between two materials.
Keywords
Cite
@article{arxiv.1107.5690,
title = {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},
author = {A. Vellender and G. S. Mishuris and A. B. Movchan},
journal= {arXiv preprint arXiv:1107.5690},
year = {2013}
}