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Trapped modes for an elastic strip with perturbation of the material properties

, and . Quart. J. Mech. Appl. Math., 59 (3): 399--418 (2006)
DOI: 10.1093/qjmam/hbl008

Abstract

The elasticity operator, for zero Poisson coefficient, with stress-free boundary conditions on a two-dimensional strip with local perturbation of Young′s modulus, is considered. We prove the existence of embedded eigenvalues and describe their asymptotic behaviour.

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