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Finite-amplitude shear horizontal waves propagating in a pre-stressed layer between two half spaces

par Kayestha, P.;Rodrigues Ferreira, Elizabete ;Wijeyewickrema, A. C.
Référence International journal of solids and structures, 50, 22-23, page (3586-3596)
Publication Publié, 2013-10

Article révisé par les pairs

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Résumé :

The propagation of finite-amplitude time-harmonic shear horizontal waves, in a pre-stressed compressible elastic layer of finite thickness embedded between two identical compressible elastic half-spaces, is investigated. This is accomplished by combining finite-amplitude linearly polarized inhomogeneous transverse plane wave solutions in the half-spaces and finite-amplitude linearly polarized unattenuated transverse plane wave solutions in the layer. The layer and half-spaces are made of different pre-stressed compressible neo-Hookean materials. The dispersion relation which relates wave speed and wavenumber is obtained in explicit form. The special case where the interfaces between the layer and the half-spaces are principal planes of the left Cauchy-Green deformation tensor is also investigated. Numerical results are presented showing the variation of the shear horizontal wave speed with the pre-stress and the propagation angle. © 2013 Elsevier Ltd. All rights reserved.