Advances in Engineering Advances in Engineering features breaking research judged by Advances in Engineering advisory team to be of key importance in the Engineering field. Papers are selected from over 10,000 published each week from most peer reviewed journals.
Continuum Mechanics and Thermodynamics, Volume 24, Issue 4-6, pp. 403-416. (2012)
Albers, Bettina; Wilmanski, Krzysztof.
Abstract
The paper is devoted to the analysis of monochromatic waves intwo-component poroelastic materials described by a Biot-like model whose stress-strain relations are isotropic but the permeability isanisotropic. This anisotropy is induced by the anisotropy of thetortuosity which is given by a second order symmetric tensor. This is a new feature of the model while in earlier papers only isotropic permeabilities were considered. We show that this new model describes four modes of propagation. For our special choice of orientation of the direction of propagation these are two pseudo longitudinal modes P1 and P2, one pseudo transversal mode S2 and one transversal mode S1. The latter becomes also pseudo transversal in the general case of anisotropy. We analyze the speeds of propagation and the attenuation of these waves as well as the polarization properties in dependence on the orientation of the principal directions of the tortuosity. We indicate the practical importance of different shear (transversal) modes of propagation in a possible new nondestructive test of geophysicalmaterials.
