Geometric optics for surface waves in nonlinear elasticity /

This work is devoted to the analysis of high frequency solutions to the equations of nonlinear elasticity in a half-space. The authors consider surface waves (or more precisely, Rayleigh waves) arising in the general class of isotropic hyperelastic models, which includes in particular the Saint Vena...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Coulombel, Jean-François (Autor), Williams, Mark (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, [2020].
Colección:Memoirs of the American Mathematical Society ; no. 1271.
Temas:
Elasticity > Mathematical models.
Élasticité > Modèles mathématiques.
Elasticidad > Modelos matemáticos
Elasticity > Mathematical models
Partial differential equations > Hyperbolic equations and systems [See also 58J45] > Nonlinear second-order hyperbolic equations.
Mechanics of deformable solids > Elastic materials > Nonlinear elasticity.
Optics, electromagnetic theory {For quantum optics, see 81V80} > General > Geometric optics.
Acceso en línea:Texto completo
Descripción
Sumario:This work is devoted to the analysis of high frequency solutions to the equations of nonlinear elasticity in a half-space. The authors consider surface waves (or more precisely, Rayleigh waves) arising in the general class of isotropic hyperelastic models, which includes in particular the Saint Venant-Kirchhoff system. Work has been done by a number of authors since the 1980s on the formulation and well-posedness of a nonlinear evolution equation whose (exact) solution gives the leading term of an approximate Rayleigh wave solution to the underlying elasticity equations. This evolution equatio.
Descripción Física:1 online resource (v, 164 pages)
Bibliografía:Includes bibliographical references.
ISBN:1470456508
9781470456504
ISSN:0065-9266 ;

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