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平面波从流-多孔压电固体界面的反射和透射。

Reflection and transmission of plane waves from a fluid-porous piezoelectric solid interface.

机构信息

Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India.

出版信息

J Acoust Soc Am. 2011 Jun;129(6):3690-701. doi: 10.1121/1.3586792.

DOI:10.1121/1.3586792
PMID:21682394
Abstract

The reflection and transmission of plane waves from a fluid-porous piezoelectric solid interface is studied. The porous piezoelectric solid, having 6 mm symmetry, is supposed to be filled with viscous fluid. The expressions for amplitude ratios and energy ratios corresponding to reflected wave and transmitted waves are derived analytically. The Christoffel equation of a leaky wave propagating along the surface of a porous piezoelectric solid is derived. The effects of the angle of incidence, frequency, porosity, piezoelectric interaction, and anisotropy on the reflected and transmitted energy ratios are studied numerically for a particular model BaTiO(3). The porous piezoelectric solid half space is assumed to be loaded with water. The effects of porosity and frequency on the leaky wave velocity are also studied.

摘要

研究了平面波从流-多孔压电固体界面的反射和透射。假设多孔压电固体具有 6mm 对称,充满粘性流体。推导出相应的反射波和透射波的振幅比和能量比的解析表达式。推导了沿多孔压电固体表面传播的漏波的 Christoffel 方程。对于特定的 BaTiO3 模型,数值研究了入射角、频率、孔隙率、压电相互作用和各向异性对反射和透射能量比的影响。假设多孔压电固体半空间充满水。还研究了孔隙率和频率对漏波速度的影响。

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