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The non-axisymmetrical dynamic response of transversely isotropic saturated poroelastic media. (English) Zbl 0986.74026
Summary: The Biot’s wave equations of transversely isotropic saturated poroelastic media excited by non-axisymmetrical harmonic source are solved by means of Fourier expansion and Hankel transform. Then the components of total stress in porous media are expressed giving the solutions of Biot’s wave equations. Finally, we discuss the non-axisymmetric dynamic response of saturated porous media, and present a numerical result.

MSC:
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74J10 Bulk waves in solid mechanics
74E10 Anisotropy in solid mechanics
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