Symmetric low-frequency motion in incompressible transversely isotropic elastic plates

被引：1
|
作者：
Kossovich, LY
Moukhomodiarov, RR
Rogerson, GA [1 ]
机构：
[1] Univ Salford, Sch Engn & Comp Sci, Ctr Appl Math, Salford M5 4WT, Lancs, England
[2] Saratov NG Chernyshevskii State Univ, Dept Math Theory Elast & Biomech, Saratov 410026, Russia
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2006年 / 33卷 / 04期
关键词：
transversely isotropic; dispersion relation; asymptotics;
D O I：
10.1016/j.mechrescom.2005.05.015
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The problem of long-wave low-frequency extensional (symmetric) motion in a layer composed of incompressible, transversely isotropic elastic material is investigated. Motivated by appropriate approximations of the dispersion relation, a hierarchy of asymptotically approximate boundary value problems is set up and solved. A leading order system of equations is obtained for the governing extensions, together with a refined system for their second order counterparts. A one-dimensional model problem, involving impact edge loading, is set up and solved in order to illustrate the derived theory. (C) 2005 Elsevier Ltd. All rights reserved.
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页码：460 / 469
页数：10
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