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

机译:内边界不均匀的有界和无界横向各向同性粘弹性材料中椭圆剪切波发散的解析解

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摘要

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.
机译:Guidetti和Royston最近提出了一种理论方法[J. co Soc。上午。 > 144 ,2312–2323(2018)],用于横向各向同性材料的径向会聚椭圆切变波模式,该切向波材料在材料的外边界处垂直于纤维轴进行轴对称激发。通过转换为具有各向同性特性的椭圆坐标系可以启用此方法。该方法扩展到发散自圆柱杆辐射的剪切波的情况,圆柱杆垂直于各向同性轴并平行于各向同性平面轴向振动。

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