Existence results for unilateral contact problem with friction of thermo-electro-elasticity

被引：0
|
作者：
H.BENAISSA [1 ]
EL-H.ESSOUFI [1 ]
R.FAKHAR [2 ]
机构：
[1] Laboratoire de Recherche en Mathématique,Informatique et Sciences de l’Ingénieur (MISI)
[2] Laboratoire de Science des Matériaux,des Milieux et de la Modélisation (LS3M),Université Hassan 1
来源：
Applied Mathematics and Mechanics(English Edition) | 2015年 / 36卷 / 07期
关键词：
static frictional contact; thermo-piezoelectric material; Signorini’s condition; Tresca’s friction; frictional heat generation; varia;
D O I：
暂无
中图分类号：
O343.3 [接触问题];
学科分类号：
摘要：
This work studies a mathematical model describing the static process of contact between a piezoelectric body and a thermally-electrically conductive foundation.The behavior of the material is modeled with a thermo-electro-elastic constitutive law.The contact is described by Signorini’s conditions and Tresca’s friction law including the electrical and thermal conductivity conditions. A variational formulation of the model in the form of a coupled system for displacements, electric potential, and temperature is derived. Existence and uniqueness of the solution are proved using the results of variational inequalities and a fixed point theorem.
引用
收藏
页码：911 / 926
页数：16
相关论文
共 50 条
  • [21] Variational analysis of unilateral contact problem for thermo-piezoelectric materials with friction
    A. Hachlaf
    H. Benaissa
    EL-H. Benkhira
    R. Fakhar
    Indian Journal of Pure and Applied Mathematics, 2022, 53 : 454 - 478
  • [22] Variational analysis of unilateral contact problem for thermo-piezoelectric materials with friction
    Hachlaf, A.
    Benaissa, H.
    Benkhira, EL-H.
    Fakhar, R.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2022, 53 (02): : 454 - 478
  • [23] A UNILATERAL CONTACT PROBLEM IN LINEAR ELASTICITY
    VILLAGGIO, P
    JOURNAL OF ELASTICITY, 1980, 10 (02) : 113 - 119
  • [24] Numerical treatment of a static thermo-electro-elastic contact problem with friction
    EL-Hassan Benkhira
    Rachid Fakhar
    Abdelhadi Hachlaf
    Youssef Mandyly
    Computational Mechanics, 2023, 71 : 25 - 38
  • [25] Numerical treatment of a static thermo-electro-elastic contact problem with friction
    Benkhira, EL-Hassan
    Fakhar, Rachid
    Hachlaf, Abdelhadi
    Mandyly, Youssef
    COMPUTATIONAL MECHANICS, 2023, 71 (01) : 25 - 38
  • [26] Existence results for the semicoercive static contact problem with Coulomb friction
    Eck, C
    Jarusek, J
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (06) : 961 - 976
  • [27] EXISTENCE OF A SOLUTION FOR THE QUASI-STATIC PROBLEM OF UNILATERAL CONTACT WITH NONLOCAL FRICTION
    COCU, M
    PRATT, E
    RAOUS, M
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 320 (11): : 1413 - 1417
  • [28] ANALYSIS RESULTS FOR DYNAMIC CONTACT PROBLEM WITH FRICTION IN THERMO-VISCOELASTICITY
    Bouallala, Mustapha
    Essoufi, El Hassan
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2020, 26 (04): : 317 - 326
  • [29] QUASISTATIC THERMO-ELECTRO-VISCOELASTIC CONTACT PROBLEM WITH SIGNORINI AND TRESCA'S FRICTION
    Essoufi, El-Hassan
    Alaoui, Mohammed
    Bouallala, Mustapha
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
  • [30] A DECOMPOSITION METHOD FOR A UNILATERAL CONTACT PROBLEM WITH TRESCA FRICTION ARISING IN ELECTRO-ELASTOSTATICS
    Essoufi, E. -H.
    Fakhar, R.
    Koko, J.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2015, 36 (12) : 1533 - 1558
12345