Wave propagation in an inhomogeneous transversely isotropic material obeying the generalized power law model

Wang, Cheng-Der; Wang, Wei-Jer; Lin, Y. T.; Ruan, Z. W.

doi:10.1007/s00419-011-0601-5

Cited by 10 publications

(1 citation statement)

References 9 publications

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“…1), that identifies the direction of the propagation of plane waves. In an isotropic medium, it is known that for wave propagation in any direction, there always exist three real body waves with mutually orthogonal polarization, which are coincident with the dynamic axes formed by the wavefront and propagation vector [47]. In anisotropic elastic mediums, three body waves might propagate in each direction, however, while the associated displacement vectors are mutually perpendicular, those waves cannot generally be classified into pure dilatational and rotational type [48].…”

Section: Statement Of the Problem And Potential Functionsmentioning

confidence: 99%

Body waves propagation in a fluid-saturated transversely isotropic poroelastic solid with a potential method

2020

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This study is focused on the propagation of plane harmonic body waves in a transversely isotropic linear poroelastic fluid-saturated medium in the framework of simplified p  u formulation. A set of two scalar potential functions is employed to decouple the coupled fluid continuity equation and equations of motion, wherever the governing equations for the potential functions are resulted in the form of either scaled wave motion or a combination of repeated wave motion and transport equation. The velocities and corresponding attenuation coefficients of both longitudinal and transverse waves are extracted from the acoustic equations for the body waves. To show the validity of the analytical solution given in this paper, degeneration to the case of a single-phase transversely isotropic, and consequently isotropic solid is presented to provide interesting comparisons with the solutions reported in the literatures. In addition, the effects of mechanical and hydraulic parameters of materials on the velocity of propagation and attenuation coefficient of the waves are investigated in more detail. To this end, various synthetic poroelastic transversely isotropic materials are defined, and the dependency of wave motion to these parameters is illustrated by plotting the graphs.

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Section: Statement Of the Problem And Potential Functionsmentioning

confidence: 99%