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
来源：
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS | 2017年 / 70卷 / 04期
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.
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页码：373 / 386
页数：14
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