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.

引用

页码：373 / 386

页数：14

共 50 条

[1] ON THE THEORY OF MIXED BOUNDARY-VALUE DYNAMIC PROBLEMS FOR WEDGE COMPOSITES
BERKOVICH, VN
DOKLADY AKADEMII NAUK SSSR, 1990, 314 (01): : 172 - 175
[2] 2 DIMENSIONAL MIXED BOUNDARY-VALUE PROBLEMS IN A WEDGE-SHAPED REGION
WILLIAMS, WE
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1968, 64 : 503 - &
[3] MIXED BOUNDARY-VALUE PROBLEMS IN ELECTROSTATICS
GUPTA, OP
GUPTA, SK
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1975, 55 (12): : 715 - 720
[4] MIXED BOUNDARY-VALUE PROBLEMS IN PLANE
VOYTUK, JA
MACCAMY, RC
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (02) : 276 - &
[5] SHEAR OF AN ELASTIC WEDGE AS A MIXED BOUNDARY-VALUE PROBLEM
BERA, R
PATRA, B
ACTA MECHANICA, 1979, 33 (04) : 307 - 316
[6] DIFFERENCE METHODS FOR MIXED BOUNDARY-VALUE PROBLEMS
STRANG, WG
DUKE MATHEMATICAL JOURNAL, 1960, 27 (02) : 221 - 231
[7] NOTE ON A CLASS OF MIXED BOUNDARY-VALUE PROBLEMS
WILLIAMS, WE
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1973, 26 (AUG): : 397 - 400
[8] MIXED BOUNDARY-VALUE PROBLEMS IN POTENTIAL THEORY
ENGLAND, AH
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1979, 22 (JUN) : 91 - 98
[9] MIXED BOUNDARY-VALUE PROBLEMS IN THE IMPLANTED COCHLEA
RUBINSTEIN, JT
SOMA, M
SPELMAN, FA
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1985, 32 (10) : 900 - 900
[10] NOTE ON MIXED BOUNDARY-VALUE PROBLEMS IN ELECTROSTATICS
LAL, B
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1978, 58 (01): : 56 - 58

← 1 2 3 4 5 →