在各向异性粘弹性介质中，克里斯托费尔矩阵的两个s波特征向量不需要存在

IF 0.5 4区地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS

Studia Geophysica et Geodaetica Pub Date : 2021-11-15 DOI:10.1007/s11200-021-0824-z

Luděk Klimeš

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引用次数: 1

摘要

黏弹性介质中3×3×3×3频域刚度张量是复值的。3 × 3克里斯托费尔矩阵也是复值的。通过一个简单的例子，我们证明了复值克里斯托费尔矩阵在s波奇点处不需要具有所有三个特征向量，因此我们不能将特征向量应用于计算哈密顿函数的相空间导数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Two S-wave eigenvectors of the Christoffel matrix need not exist in anisotropic viscoelastic media

The 3×3×3×3 frequency-domain stiffness tensor is complex-valued in viscoelastic media. The 3 × 3 Christoffel matrix is then also complex-valued. Using a simple example, we demonstrate that a complex-valued Christoffel matrix need not have all three eigenvectors at an S-wave singularity, and we thus cannot apply the eigenvectors to calculating the phase-space derivatives of the Hamiltonian function.

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来源期刊

Studia Geophysica et Geodaetica 地学-地球化学与地球物理

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Studia geophysica et geodaetica is an international journal covering all aspects of geophysics, meteorology and climatology, and of geodesy. Published by the Institute of Geophysics of the Academy of Sciences of the Czech Republic, it has a long tradition, being published quarterly since 1956. Studia publishes theoretical and methodological contributions, which are of interest for academia as well as industry. The journal offers fast publication of contributions in regular as well as topical issues.