We prove that fast oscillatory elastic surface waves can produce nontrivial internal nonoscillatory displacements.
We consider elastic surface waves of the form, in :
We prove that, in general, the corrector is not purely localized near the boundary, that is does not vanish. depends on the slow variable y and does not decay to 0 when Y tends to +∞, even if the source terms are exponentially decaying to 0.
On prouve que des ondes de surface élastiques rapidement oscillantes peuvent produire un déplacement interne non oscillant non trivial.
On considère des ondes de surface élastiques de la forme, sur :
On prouve que, en général, le correcteur nʼest pas purement localisé près de la frontière, cʼest-à-dire nʼest pas nul. dépend de la variable lente y et ne décroît pas vers 0 lorsque Y tend vers +∞, même si les termes source sont exponentiellement décroissants vers 0.
Accepted:
Published online:
Alice Marcou 1
@article{CRMATH_2011__349_23-24_1239_0, author = {Alice Marcou}, title = {Internal rectification for elastic surface waves}, journal = {Comptes Rendus. Math\'ematique}, pages = {1239--1244}, publisher = {Elsevier}, volume = {349}, number = {23-24}, year = {2011}, doi = {10.1016/j.crma.2011.07.008}, language = {en}, }
Alice Marcou. Internal rectification for elastic surface waves. Comptes Rendus. Mathématique, Volume 349 (2011) no. 23-24, pp. 1239-1244. doi : 10.1016/j.crma.2011.07.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.07.008/
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