The method of smooth domains in the equilibrium problem for a plate with a crack

被引：4

作者：

Khludnev, AM

机构：

[1] Lavrent'Ev Institute of Hydrodynamics, Novosibirsk

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2002年 / 43卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

plate; nonsmooth domain; boundary value problem; crack;

D O I：

10.1023/A:1021133804808

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A free boundary problem is considered of the equilibrium of an elastic plate with a crack. We suppose that some boundary mutual nonpenetration conditions are given on the crack faces in the form of simultaneous equalities and inequalities. We suggest a new approach to posing the problem in a smooth domain although it was stated in a domain with cuts originally. We treat the constraints on the components of the displacement vector and stress tensor on the crack faces as interior constraints, i.e., constraints given on subsets of the smooth domain of a solution.

引用

页码：1124 / 1134

页数：11