Analysis of a class of implicit evolution inequalities associated to viscoelastic dynamic contact problems with friction

被引：16

作者：

Cocu, M

Ricaud, JM

机构：

[1] CNRS, Lab Mecan & Acoust, F-13402 Marseille 20, France

[2] Univ Aix Marseille 1, Marseille, France

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2000年 / 38卷 / 14期

关键词：

implicit evolution inequalities; dynamic frictional contact problems; viscoelasticity;

D O I：

10.1016/S0020-7225(99)00115-9

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

For a class of implicit evolution inequalities, the existence of solutions is proved by using a new approach. The results are directly applied to dynamic viscoelastic contact problems with friction, using in particular the model of persistent contact with time depending Tresca (given) friction or the model of normal compliance for both contact and friction. Moreover, using a penalty method and a weaker formulation, an existence result is obtained for a unilateral contact problem with a non-local Coulomb friction law. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：1535 / 1552

页数：18

共 50 条

[21] A class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticity
Migorski, Stanislaw
Szafraniec, Pawel
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 15 : 158 - 171
[22] AN INCREMENTAL RELAXATION FINITE-ELEMENT ANALYSIS OF VISCOELASTIC PROBLEMS WITH CONTACT AND FRICTION
CHEN, WH
CHANG, CM
YEH, JT
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 109 (3-4) : 315 - 329
[23] A Class of Quasistatic Contact Problems for Viscoelastic Materials with Nonlocal Coulomb Friction and Time-Delay
Yao, Si-sheng
Huang, Nan-jing
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2014, 19 (04) : 491 - 508
[24] Time-dependent variational inequalities for viscoelastic contact problems
Han, WM
Sofonea, M
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 136 (1-2) : 369 - 387
[25] Coupled Implicit Variational Inequalities and Dynamic Contact Interactions in Viscoelasticity
Cocou, Marius
[J]. RECENT ADVANCES IN CONTACT MECHANICS, 2013, 56 : 221 - 237
[26] ANALYSIS OF A DYNAMIC CONTACT PROBLEM FOR ELECTRO-VISCOELASTIC MATERIALS WITH TRESCA'S FRICTION
Douib, B.
Ammar, T. Hadj
Ahmed, A. Z. E. B.
[J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (04): : 1490 - 1505
[27] Dynamic friction contact problems for general normal and friction laws
Kuttler, KL
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (03) : 559 - 575
[28] Shape optimization for dynamic contact problems with friction
Myslinski, A
[J]. SYSTEM MODELING AND OPTIMIZATION XX, 2003, 130 : 287 - 299
[29] Dynamic contact problems with friction in linear viscoelasticity
Jarusek, J
Eck, C
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 322 (05): : 497 - 502
[30] A survey on dynamic contact problems with Coulomb friction
Eck, C
Jarusek, J
[J]. MULTIFIELD PROBLEMS: STATE OF THE ART, 2000, : 254 - 261

← 1 2 3 4 5 →