Existence and integral representations of weak solutions for elastic plates with cracks

被引:3
|
作者
Chudinovich, I
Constanda, C
机构
[1] Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark, Scotland
[2] Kharkov AM Gorkii State Univ, Dept Math & Mech, UA-310077 Kharkov, Ukraine
关键词
boundary integral equations; weak solutions; elastic plates;
D O I
10.1023/A:1007624707944
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The existence and continuous dependence on the data are investigated in Sobolev spaces for the problem of bending of a Reissner-Mindlin-type plate weakened by a crack when the displacements or the moments and force are prescribed along the two sides of the crack. The cases of both an infinite and a finite plate are considered, and representations are sought for the solutions in terms of single layer and double layer potentials with distributional densities.
引用
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页码:169 / 191
页数:23
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