Existence of one-component Rayleigh waves, Stoneley waves, Love waves, slip waves and one-component waves in a plate or layered plate

Autor: T. C. T. Ting
Rok vydání: 2009
Předmět:
Zdroj: Journal of Mechanics of Materials and Structures. 4:631-647
ISSN: 1559-3959
Popis: It is known that one-component surface (Rayleigh) waves exist in an anisotropic elastic half-space. Since the solution shows that the displacement normal to the free surface vanishes everywhere, a onecomponent surface wave is also a one-component slip wave in the half-space if the boundary of the half-space is a slippery surface. We show that no other one-component slip waves exist for the halfspace. As to steady waves in a bimaterial that consists of two dissimilar anisotropic elastic materials, one-component slip waves can be constructed from two one-component surface waves. There are no other one-component slip waves for a bimaterial. By imposing the continuity of the displacement at the interface on the one-component slip wave, a one-component Stoneley wave is obtained. Although one-component waves for the half-space can also propagate in a homogeneous plate, we present new one-component waves in a plate for which the Stroh eigenvalue p is real. By superposition of the onecomponent waves in the layer and in the half-space, one-component Love waves can be constructed. Finally, we show that one-component waves can propagate in a layered plate.
Databáze: OpenAIRE