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

被引：45

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

页码：5 / 15

页数：11

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