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
  • [1] Existence results for unilateral contact problem with friction of thermo-electro-elasticity
    H. Benaissa
    El-H. Essoufi
    R. Fakhar
    Applied Mathematics and Mechanics, 2015, 36 : 911 - 926
  • [2] Existence results for unilateral contact problem with friction of thermo-electro-elasticity
    Benaissa, H.
    Essoufi, El-H.
    Fakhar, R.
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (07) : 911 - 926
  • [3] On nonlinear thermo-electro-elasticity
    Mehnert, Markus
    Hossain, Mokarram
    Steinmann, Paul
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2016, 472 (2190):
  • [4] Analysis for Unilateral Contact Problem with Coulomb's Friction in Thermo-Electro-Visco-Elasticity
    Bouallala, Mustapha
    Essoufi, EL-Hassan
    FILOMAT, 2022, 36 (13) : 4443 - 4457
  • [5] On the half-infinite crack problem in thermo-electro-elasticity
    Li, X. Y.
    MECHANICS RESEARCH COMMUNICATIONS, 2011, 38 (07) : 506 - 511
  • [6] Numerical modelling of nonlinear thermo-electro-elasticity
    Mehnert, Markus
    Pelteret, Jean-Paul
    Steinmann, Paul
    MATHEMATICS AND MECHANICS OF SOLIDS, 2017, 22 (11) : 2196 - 2213
  • [7] NUMERICAL ANALYSIS OF THE PENALTY METHOD FOR UNILATERAL CONTACT PROBLEM WITH TRESCA'S FRICTION IN THERMO-ELECTRO-VISCO-ELASTICITY
    Bouallala, M.
    Essoufi, El-H
    Alaoui, M.
    EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2020, 8 (03): : 12 - 32
  • [8] Reliable solution of an unilateral contact problem with friction and uncertain data in thermo-elasticity
    Hlavácek, I
    Nedoma, J
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 67 (06) : 559 - 580
  • [9] The coupled non-stationary thermo-electro-elasticity problem for a long hollow cylinder
    Shlyakhin, D. A.
    Kalmova, M. A.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2020, 24 (04): : 677 - 691
  • [10] MODELING AND NUMERICAL SIMULATION OF THE PENALTY METHOD FOR UNILATERAL CONTACT PROBLEM WITH TRESCA'S FRICTION IN THERMO-ELECTRO-VISCO-ELASTICITY
    Bouallala, M.
    El Essoufi, H.
    Zafrar, A.
    Alaoui, M.
    EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2023, 11 (03): : 4 - 21
12345