Frictional Contact Problem With Wear for Thermo-Visco elastic Materials With Damage

被引：0

作者：

Gherian, Safa ^{[1
]}

Ahmed, Abdelaziz Azeb ^{[1
]}

Yazid, Fares ^{[2
]}

Djeradi, Fatima Siham ^{[2
]}

机构：

[1] Univ Oued, Lab Operator Theory & PDE Fdn & Applicat, Fac Exact Sci, El Oued 39000, Algeria

[2] Amar Telidji Univ Laghouat, Lab Pure & Appl Math, Laghouat 03000, Algeria

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2023年 / 21卷

关键词：

thermoviscoelastic; damage; wear; dynamic contact problem;

D O I：

10.28924/2291-8639-21-2023-56

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a mathematical model which describes a dynamic frictional contact problem for thermo-viscoelastic materials with long memory and damage. The contact is modeled by the normal compliance condition and wear between surfaces are taken into account. We establish a variational formulation for the model and prove the existence and uniqueness of the weak solution. The proof is based on arguments of hyperbolic nonlinear differential equations, parabolic variational inequalities and Banach fixed point.

引用

页数：18

共 50 条

[1] A Thermo-Visco elastic Fractional Contact Problem with Normal Compliance and Coulomb's Friction
Bouallala, Mustapha
Essoufi, EL-Hassan
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2021, 17 (03) : 280 - 294
[2] Analysis and Approximation of Hemivariational Inequality for a Frictional Thermo-electro-visco-elastic Contact Problem with Damage
Faiz, Zakaria
Baiz, Othmane
Benaissa, Hicham
El Moutawakil, Driss
TAIWANESE JOURNAL OF MATHEMATICS, 2023, 27 (01): : 81 - 111
[3] A frictional contact problem with wear involving elastic-viscoplastic materials with damage and thermal effects
Djabi, Abdelmoumene
Merouani, Abdelbaki
Aissaoui, Adel
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (27) : 1 - 18
[4] Parameter and shape sensitivity of thermo-visco elastic response
Tauzowski, P
Kleiber, M
COMPUTERS & STRUCTURES, 2006, 84 (5-6) : 385 - 399
[5] Variational and numerical analysis of a quasistatic thermo-electro-visco-elastic frictional contact problem
Baiz, Othmane
Benaissa, Hicham
El Moutawakil, Driss
Fakhar, Rachid
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2019, 99 (03):
[6] A frictional contact problem with normal damped response for elastic-visco-plastic materials
Selmani M.
Selmani L.
Rendiconti del Circolo Matematico di Palermo, 2010, 59 (1) : 67 - 85
[7] A frictional contact problem with wear and damage for electro-viscoelastic materials
Mohamed Selmani
Lynda Selmani
Applications of Mathematics, 2010, 55 : 89 - 109
[8] A frictional contact problem with wear and damage for electro-viscoelastic materials
Selmani, Mohamed
Selmani, Lynda
APPLICATIONS OF MATHEMATICS, 2010, 55 (02) : 89 - 109
[9] NUMERICAL ANALYSIS OF A FRICTIONAL CONTACT PROBLEM FOR THERMO-ELECTRO-ELASTIC MATERIALS
Ouafik, Youssef
JOURNAL OF THEORETICAL AND APPLIED MECHANICS, 2020, 58 (03) : 673 - 683
[10] Numerical analysis of a frictional contact problem for thermo-electro-elastic materials
Ouafik Y.
Ouafik, Youssef (y.ouafik@uca.ma), 1600, Polish Society of Theoretical and Allied Mechanics (58): : 673 - 683

← 1 2 3 4 5 →