Qualitative analysis of 3D elastostatic contact problems with orthotropic Coulomb friction and solution-dependent coefficients of friction

被引:4
作者
Haslinger, Jaroslav [1 ]
Kucera, Radek [2 ]
Ligursky, Tomas [1 ]
机构
[1] Charles Univ Prague, Dept Numer Math, Prague 18675 8, Czech Republic
[2] VSB Tech Univ Ostrava, Dept Math & Descript Geometry, Ostrava 70833, Czech Republic
关键词
Contact problem; Orthotropic Coulomb friction; Solution-dependent coefficients of friction; Inexact fixed-point approach; MINIMIZING QUADRATIC-FUNCTIONS; SIGNORINI PROBLEM; CONSTRAINTS; ALGORITHM; APPROXIMATION; CONVERGENCE; SUBJECT;
D O I
10.1016/j.cam.2011.02.007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper analyzes a discrete form of 3D contact problems with local orthotropic Coulomb friction and coefficients of friction which may depend on the solution itself. The analysis is based on the fixed-point reformulation of the original problem. Conditions guaranteeing the existence and uniqueness of discrete solutions are established. Finally, numerical results of a model example are presented. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:3464 / 3480
页数:17
相关论文
共 26 条
[1]  
[Anonymous], 2005, PURE APPL MATH
[2]  
[Anonymous], 1978, STUDIES MATH ITS APP
[3]  
AUBIN JP, 1979, PURE APPL MATH
[4]   Hybrid finite element methods for the Signorini problem [J].
Ben Belgacem, F ;
Renard, Y .
MATHEMATICS OF COMPUTATION, 2003, 72 (243) :1117-1145
[5]  
Clarke F. H., 1983, CANADIAN MATH SOC SE
[6]  
CLEMENT P, 1975, REV FR AUTOMAT INFOR, V9, P77
[7]   Minimizing quadratic functions subject to bound constraints with the rate of convergence and finite termination [J].
Dostál, Z ;
Schöberl, J .
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2005, 30 (01) :23-43
[8]  
DOSTAL Z, 2010, COMPUT METHODS UNPUB
[9]  
Dostál Z, 2009, SPRINGER SER OPTIM A, V23, P3, DOI 10.1007/978-0-387-84806-8_1
[10]   AN OPTIMAL ALGORITHM FOR MINIMIZATION OF QUADRATIC FUNCTIONS WITH BOUNDED SPECTRUM SUBJECT TO SEPARABLE CONVEX INEQUALITY AND LINEAR EQUALITY CONSTRAINTS [J].
Dostal, Zdenek ;
Kucera, Radek .
SIAM JOURNAL ON OPTIMIZATION, 2010, 20 (06) :2913-2938