The Rayleigh wave field in mixed problems for a half-plane

被引：14

作者：

Erbas, Baris ^{[1
]}

Kaplunov, Julius ^{[2
]}

Prikazchikov, Danila A. ^{[3
]}

机构：

[1] Anadolu Univ, Dept Math, TR-26470 Eskisehir, Turkey

[2] Brunel Univ, Dept Math Sci, Uxbridge UB8 3PH, Middx, England

[3] Bauman Moscow State Tech Univ, Dept Computat Math & Math Phys, Moscow 1005005, Russia

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2013年 / 78卷 / 05期

关键词：

asymptotic model; Rayleigh wave; mixed boundary value problem; SURFACE;

D O I：

10.1093/imamat/hxs010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The note develops an approximate approach to mixed boundary value problems in linear elasticity starting from an explicit asymptotic model for the Rayleigh surface wave. It is demonstrated that the original vector mixed problem may be reduced to a scalar problem for the Laplace equation. As an illustration, the steady-state motion of a rigid stamp is analysed. Comparison of asymptotic and exact results is presented.

引用

页码：1078 / 1086

页数：9

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