线弹性力学中的亚音速自由表面波
Subsonic Free Surface Waves in Linear Elasticity
摘要：
本文研究了一般各向异性线弹性固体中光滑边界的瑞利型表面波。利用矩阵多项式的谱分解，首先给出了齐次半空间情形的一个完备的解释。主要结果是关于曲面的非均匀各向异性体。亚音速自由表面波的存在表明，通过给射线级数渐近展开，包括公式的传输方程。
英文摘要：
For general anisotropic linear elastic solids with smooth boundaries, Rayleigh-type surface waves are studied. Using spectral factorizations of matrix polynomials, a self-contained exposition of the case of a homogeneous half-space is given first. The main result is about inhomogeneous anisotropic bodies with curved surfaces. The existence of subsonic free surface waves is shown by giving ray series asymptotic expansions, including formulas for the transport equation.
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