Uniqueness of the surface-wave spped: A proof that is independent of the Stroh formalism

被引：44
|
作者：
Mielke, A [1 ]
Fu, YB
机构：
[1] Univ Stuttgart, Inst Anal Dynam & Modellierung, D-70569 Stuttgart, Germany
[2] Univ Keele, Dept Math, Keele ST5 5BG, Staffs, England
来源：
MATHEMATICS AND MECHANICS OF SOLIDS | 2004年 / 9卷 / 01期
关键词：
Stroh formalism; surface waves; elastic half-space; surface impedance matrix;
D O I：
10.1177/1081286503035196
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
It is well-known in surface-wave theory that the secular equation for the surface-wave speed v can be written as det M = 0 in terms of the surface impedance matrix M. It has recently been shown by the present authors that M satisfies a simple algebraic Riccati equation. It is shown in the present paper that a purely matrix algebraic analysis of this equation suffices to prove that whenever a surface wave exists it is unique.
引用
收藏
页码：5 / 15
页数：11
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