Variational Formulation of Crack Problems in Three-dimensional Classical Elasticity

被引：0
|
作者：
Atroshchenko, E. [1 ]
Potapenko, S. [1 ]
Chudinovich, I. [2 ]
Glinka, G. [3 ]
机构：
[1] Univ Waterloo, Dept Civil & Environm Engn, Waterloo, ON N2L 3G1, Canada
[2] Univ Tulsa, Dept Math & Comp Sci, Tulsa, OK 74104 USA
[3] Univ Waterloo, Dept Mech & Mechatron Engn, Waterloo, ON N2L 3G1, Canada
来源：
MATHEMATICS AND MECHANICS OF SOLIDS | 2010年 / 15卷 / 08期
关键词：
fracture mechanics; potential methods; Sobolev spaces; PLANE MICROPOLAR ELASTICITY; STRESS-DISTRIBUTION;
D O I：
10.1177/1081286509344260
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we consider a crack of arbitrary shape in a homogeneous elastic media in the absence of body forces, formulate variational Dirichlet and Neumann crack problems in a linear three-dimensional elasticity in Sobolev spaces and prove the existence and uniqueness of the corresponding (weak) solutions.
引用
收藏
页码：870 / 884
页数：15
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