Eigenvalue asymptotics for an elastic strip and an elastic plate with a crack
Spectral Theory
2015-11-20 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We consider the elasticity operator with zero Poisson's ratio on an infinite strip and an infinite plate with a horizontal crack. We prove an asymptotic formula for the distance of the embedded eigenvalues to some spectral threshold of the operator as the crack becomes small.
Keywords
Cite
@article{arxiv.1511.06204,
title = {Eigenvalue asymptotics for an elastic strip and an elastic plate with a crack},
author = {André Hänel and Timo Weidl},
journal= {arXiv preprint arXiv:1511.06204},
year = {2015}
}