Boundary integral equation and the existence theorems in contact problems with friction

被引：7

作者：

Zozulya, VV

Rivera, PB

机构：

[1] Cincia & Tecnol Mayab AC, Merida 97070, Yucatan, Mexico

[2] Ctr Invest Cient Yucatan, Merida 97200, Yucatan, Mexico

来源：

JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS | 2000年 / 23卷 / 03期

关键词：

boundary integral equations; contact; friction; crack; fixed point;

D O I：

10.1080/02533839.2000.9670551

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The mathematical statements for contact problems with unilateral restrictions and friction for elastic bodies with cracks are investigated. The unilateral restrictions and friction on the crack surfaces are formulated in the form of inequalities. An algorithm for the solution of this problem is considered as the superposition of the boundary integral operators and projection operators on the sets of the unilateral restrictions and friction. The theorems of existence and uniqueness are proved.

引用

页码：313 / 320

页数：8

共 50 条

[1] Boundary integral equation and the existence theorems in contact problems with friction
Rivera, P.E.
Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an, 2000, 23 (03): : 313 - 320
[2] A boundary integral formulation of contact problems with friction
Eck, C
Wendland, WL
IABEM SYMPOSIUM ON BOUNDARY INTEGRAL METHODS FOR NONLINEAR PROBLEMS, 1997, : 47 - 55
[3] A multivalued boundary integral equation for adhesive contact problems
Mistakidis, ES
Panagiotopoulos, PD
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1998, 21 (04) : 317 - 327
[4] EXISTENCE THEOREMS FOR URYSOHNS INTEGRAL-EQUATION
JOSHI, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 49 (02) : 387 - 392
[5] On the existence of nonnegative solutions to an integral equation with applications to boundary value problems
Purnaras, I. K.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 3914 - 3933
[6] A BOUNDARY INTEGRAL-EQUATION METHOD FOR AXISYMMETRICAL ELASTIC CONTACT PROBLEMS
ABDULMIHSEIN, MJ
BAKR, AA
PARKER, AP
COMPUTERS & STRUCTURES, 1986, 23 (06) : 787 - 793
[7] DYNAMIC BOUNDARY INTEGRAL-EQUATION METHOD FOR UNILATERAL CONTACT PROBLEMS
MITSOPOULOUPAPASOGLOU, E
PANAGIOTOPOULOS, PD
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1991, 8 (04) : 192 - 199
[8] ALLOWANCE FOR FRICTION IN SOLUTION OF CONTACT PROBLEMS BY THE METHOD OF BOUNDARY INTEGRAL-EQUATIONS
PODGORNY, AN
KHAVIN, GL
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1986, (01): : 30 - 32
[9] EXISTENCE AND UNIQUENESS THEOREMS FOR A NONLINEAR INTEGRAL-EQUATION
RAMALHO, R
MATHEMATISCHE ANNALEN, 1976, 221 (01) : 35 - 44
[10] Contact problems for parabolic equation and integral equation
Sheveleva, VN
DOKLADY AKADEMII NAUK, 1995, 345 (03) : 313 - 315

← 1 2 3 4 5 →