ON MIXED BOUNDARY-VALUE PROBLEMS IN A WEDGE

被引:3
作者
Martin, P. A. [1 ]
机构
[1] Colorado Sch Mines, Dept Appl Math & Stat, Golden, CO 80401 USA
关键词
ELASTIC WEDGE; CONTACT PROBLEM; MECHANICS; FRACTURE;
D O I
10.1093/qjmam/hbx013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Mixed boundary-value problems for Laplace's equation inside a wedge-shaped region are formulated and solved. There is a homogeneous Neumann condition on both straight sides of the wedge except for one finite piece of one side where a Dirichlet condition is imposed. Solutions are sought with specified logarithmic behaviour at both the tip of the wedge and at infinity. Exact solutions are constructed by solving an integral equation.
引用
收藏
页码:373 / 386
页数:14
相关论文
共 19 条
[1]  
ALEKSANDROV VM, 1988, PMM-J APPL MATH MEC+, V52, P506, DOI 10.1016/0021-8928(88)90041-X
[2]  
[Anonymous], 1994, TABLES INEGRALS SERI
[3]  
[Anonymous], 1995, Fourier transforms
[4]   THEORETICAL ASPECTS OF FRACTURE-MECHANICS [J].
ATKINSON, C ;
CRASTER, RV .
PROGRESS IN AEROSPACE SCIENCES, 1995, 31 (01) :1-83
[6]  
England AH., 2003, COMPLEX VARIABLE MET
[7]   CONTACT AND CRACK PROBLEMS FOR AN ELASTIC WEDGE [J].
ERDOGAN, F ;
GUPTA, GD .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1976, 14 (02) :155-164
[8]   FRACTURE AND CONTACT PROBLEMS FOR AN ELASTIC WEDGE [J].
ERDOGAN, F ;
ARIN, K .
JOURNAL OF ELASTICITY, 1976, 6 (01) :57-71
[9]   MECHANICS OF EDGE EFFECTS ON FRICTIONLESS CONTACTS [J].
HANSON, MT ;
KEER, LM .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1995, 32 (3-4) :391-405
[10]  
Harrington W. J., 1971, Journal of Elasticity, V1, P65, DOI 10.1007/BF00045700