Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition

被引：52
|
作者：
Lazarev, N. P. [1 ,2 ]
Rudoy, E. M. [2 ]
机构：
[1] North Eastern Fed Univ, Yakutsk 677891, Russia
[2] Russian Acad Sci, Lavrentyev Inst Hydrodynam, Novosibirsk 630090, Russia
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2014年 / 94卷 / 09期
基金：
俄罗斯基础研究基金会;
关键词：
Timoshenko's plate; nonpenetration condition; crack; variational inequality; energy functional;
D O I：
10.1002/zamm.201200229
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An equilibrium problem for an elastic transversely isotropic Timoshenko's plate with a curvilinear crack is considered. On the crack faces, the nonpenetration conditions, which have the form of inequalities (conditions of the Signorini type), are given. By using a sufficiently smooth perturbation determined in the middle plate plane, the variation of plate geometry is specified. The formula of the derivative of the plate energy functional with respect to the perturbation parameter is deduced. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：730 / 739
页数：10
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