Analysis of a Frictionless Electro Viscoelastic Contact Problem with Signorini Conditions

被引：0
|
作者：
Boulaouad, Abla [1 ]
Ourahmoun, Abbes [2 ]
Serrar, Touffik [1 ]
机构：
[1] Ferhat Abbas Univ Setif 1, Dept Math, Setif, Algeria
[2] Ferhat Abbas Univ Setif 1, Inst Opt & Precis Mech, Setif, Algeria
来源：
ENGINEERING TECHNOLOGY & APPLIED SCIENCE RESEARCH | 2022年 / 12卷 / 05期
关键词：
elecro-viscoelastic materials; frictionless contact; Signorini conditions; maximal monotone operators; weak solution;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
study considered a mathematical model to describe the process of a quasi-static contact between a piezoelectric body and an electrically conductive foundation. The behavior of the material was modeled with a nonlinear electro-viscoelastic constitutive law, the contact was frictionless, and the result was described with the Signorini condition. A variational formulation was derived for the problem, proving the existence and uniqueness of a weak solution of the model. The proof was based on arguments for nonlinear equations with maximal monotone operators.
引用
收藏
页码：9224 / 9228
页数：5
相关论文
共 50 条
  • [31] Analysis of a history-dependent frictionless contact problem
    Sofonea, Mircea
    Patrulescu, Flavius
    MATHEMATICS AND MECHANICS OF SOLIDS, 2013, 18 (04) : 409 - 430
  • [32] Analysis of a Frictionless Contact Problem with Adhesion for Piezoelectric Materials
    Latreche, Soumia
    Selmani, Lynda
    TAIWANESE JOURNAL OF MATHEMATICS, 2017, 21 (01): : 81 - 105
  • [33] ENERGY BALANCE FOR VISCOELASTIC BODIES IN FRICTIONLESS CONTACT
    Stewart, David E.
    QUARTERLY OF APPLIED MATHEMATICS, 2009, 67 (04) : 735 - 743
  • [34] Optimal control of a Signorini contact problem
    Capatina, A
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2000, 21 (7-8) : 817 - 828
  • [35] ANALYSIS OF A DYNAMIC CONTACT PROBLEM FOR ELECTRO-VISCOELASTIC MATERIALS WITH TRESCA'S FRICTION
    Douib, B.
    Ammar, T. Hadj
    Ahmed, A. Z. E. B.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (04): : 1490 - 1505
  • [36] Variational and numerical analysis of a dynamic frictionless contact problem with adhesion
    Chau, O
    Fernández, JR
    Han, W
    Sofonea, M
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 156 (01) : 127 - 157
  • [37] Analysis of a frictionless contact problem for elastic-viscoplastic materials
    Selmani, Mohamed
    Selmani, Lynda
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2012, 17 (01): : 99 - 117
  • [38] Numerical analysis of a viscoelastic contact problem
    Rodriguez-Aros, Angel
    Sofonea, Mircea
    Viano, Juan Manuel
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2005, 32 : 83 - 90
  • [39] A PIEZOELECTRIC FRICTIONLESS CONTACT PROBLEM WITH ADHESION
    Selmani, Mohamed
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2009, 54 (02): : 97 - 116
  • [40] Numerical analysis of a frictionless piezoelectric contact problem arising in viscoelasticity
    Barboteu, M.
    Ouafik, Y.
    Fernandez, J. R.
    TOPICS ON MATHEMATICS FOR SMART SYSTEMS, 2007, : 15 - +
12345