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具有非均匀内边界的有界和无界横向各向同性粘弹性材料中发散椭圆剪切波的解析解。

Analytical solution for diverging elliptic shear wave in bounded and unbounded transverse isotropic viscoelastic material with nonhomogeneous inner boundary.

作者信息

Guidetti Martina, Royston Thomas J

机构信息

Richard and Loan Hill Department of Bioengineering, 851 South Morgan Street, MC 063, University of Illinois at Chicago, Chicago, Illinois 60607,

出版信息

J Acoust Soc Am. 2019 Jan;145(1):EL59. doi: 10.1121/1.5088028.

Abstract

A theoretical approach was recently introduced by Guidetti and Royston [J. Acoust. Soc. Am. 144, 2312-2323 (2018)] for the radially converging elliptic shear wave pattern in transverse isotropic materials subjected to axisymmetric excitation normal to the fiber axis at the outer boundary of the material. This approach is enabled via a transformation to an elliptic coordinate system with isotropic properties. The approach is extended to the case of diverging shear waves radiating from a cylindrical rod that is axially oscillating perpendicular to the axis of isotropy and parallel to the plane of isotropy.

摘要

最近,圭迪蒂和罗伊斯顿[《美国声学学会杂志》144, 2312 - 2323 (2018)]提出了一种理论方法,用于研究横向各向同性材料中,在材料外边界垂直于纤维轴的轴对称激励下产生的径向汇聚椭圆剪切波模式。该方法通过转换到具有各向同性特性的椭圆坐标系来实现。此方法被扩展到从垂直于各向同性轴且平行于各向同性平面轴向振荡的圆柱杆辐射出的发散剪切波的情况。

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