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.
%0 Journal Article
%1 MR2250814
%A Förster, C.
%A Weidl, T.
%D 2006
%J Quart. J. Mech. Appl. Math.
%K IADM from:elkepeter elastic Weidl
%N 3
%P 399--418
%R 10.1093/qjmam/hbl008
%T Trapped modes for an elastic strip with perturbation of the material properties
%U https://doi.org/10.1093/qjmam/hbl008
%V 59
%X 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.
@article{MR2250814,
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.},
added-at = {2022-03-30T16:33:01.000+0200},
author = {F\"{o}rster, C. and Weidl, T.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/275f41f2b856a6a595e4c4d05efd88f28/mathematik},
doi = {10.1093/qjmam/hbl008},
interhash = {f2e98f05af3ad6d452bd72c2b82c1e61},
intrahash = {75f41f2b856a6a595e4c4d05efd88f28},
issn = {0033-5614},
journal = {Quart. J. Mech. Appl. Math.},
keywords = {IADM from:elkepeter elastic Weidl},
mrclass = {74J05 (35Q72 74B15 74H45)},
mrnumber = {2250814},
mrreviewer = {Senjo Shimizu},
number = 3,
pages = {399--418},
timestamp = {2023-04-21T13:11:09.000+0200},
title = {Trapped modes for an elastic strip with perturbation of the material properties},
url = {https://doi.org/10.1093/qjmam/hbl008},
volume = 59,
year = 2006
}