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

共 25 条

[1] CONSIDERATION OF EXISTENCE OF SURFACE-WAVE (RAYLEIGH-WAVE) SOLUTIONS IN ANISOTROPIC ELASTIC CRYSTALS [J].

BARNETT, DM ;

LOTHE, J .

JOURNAL OF PHYSICS F-METAL PHYSICS, 1974, 4 (05) :671-686

[2] FREE-SURFACE (RAYLEIGH) WAVES IN ANISOTROPIC ELASTIC HALF-SPACES - THE SURFACE IMPEDANCE METHOD [J].

BARNETT, DM ;

LOTHE, J .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1985, 402 (1822) :135-152

[3] ELASTIC SURFACE-WAVES IN ANISOTROPIC CRYSTALS - SIMPLIFIED METHOD FOR CALCULATING RAYLEIGH VELOCITIES USING DISLOCATION THEORY [J].

BARNETT, DM ;

LOTHE, J ;

NISHIOKA, K ;

ASARO, RJ .

JOURNAL OF PHYSICS F-METAL PHYSICS, 1973, 3 (06) :1083-1096

[4] Bulk, surface, and interfacial waves in anisotropic linear elastic solids [J].

Barnett, DM .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2000, 37 (1-2) :45-54

[5]

BARNETT S, 1992, MATRICES METHODS APP

[6]

Chadwick P., 1977, ADV APPL MECH, V17, P303

[7] SECULAR EQUATION FOR RAYLEIGH-WAVES ON ELASTIC CRYSTALS [J].

CURRIE, PK .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1979, 32 (MAY) :163-173

[8] RAYLEIGH-WAVES ON ELASTIC CRYSTALS [J].

CURRIE, PK .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1974, 27 (NOV) :489-496

[9] Surface waves in orthotropic incompressible materials [J].

Destrade, M .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2001, 110 (02) :837-840

[10] The explicit secular equation for surface acoustic waves in monoclinic elastic crystals [J].

Destrade, M .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2001, 109 (04) :1398-1402

← 1 2 3 →