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

来源：

JOURNAL OF ELASTICITY | 1999年 / 55卷 / 03期

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

页码：169 / 191

页数：23

共 17 条

[1]

[Anonymous], 1997, STUD MATH APPL

[2]

BESKOS D, 1991, BOUNDARY ELEMENT ANA

[3] Weak solutions of interior boundary-value problems for plates with transverse shear deformation [J].