ANALYSIS OF AN ELASTO-PIEZOELECTRIC SYSTEM OF HEMIVARIATIONAL INEQUALITIES WITH THERMAL EFFECTS

被引:9
作者
Szafraniec, Pawel [1 ]
机构
[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
关键词
dynamic contact; evolution hemivariational inequality; Clarke subdifferential; nonconvex; parabolic; viscoelastic material; frictional contact; weak solution; piezoelectricity; FRICTIONAL CONTACT PROBLEMS;
D O I
10.1016/S0252-9602(17)30057-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we prove the existence and uniqueness of a weak solution for a dynamic electo-viscoelastic problem that describes a contact between a body and a foundation. We assume the body is made from thermoviscoelastic material and consider nonmonotone boundary conditions for the contact. We use recent results from the theory of hemivariational inequalities and the fixed point theory.
引用
收藏
页码:1048 / 1060
页数:13
相关论文
共 28 条
[1]   Thermo-elastic analysis of a functionally graded spherical shell with piezoelectric layers by differential quadrature method [J].
Alashti, R. Akbari ;
Khorsand, M. ;
Tarahhomi, M. H. .
SCIENTIA IRANICA, 2013, 20 (01) :109-119
[2]  
[Anonymous], 2004, Mathematical Modelling and Analysis
[3]  
[Anonymous], 2003, INTRO NONLINEAR ANAL, DOI DOI 10.1007/978-1-4419-9158-4
[4]   Existence results for unilateral contact problem with friction of thermo-electro-elasticity [J].
Benaissa, H. ;
Essoufi, El-H. ;
Fakhar, R. .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (07) :911-926
[5]  
Benaissa H., 2015, J ADV RES APPL MATH, V7, P52
[6]   A MATHEMATICAL ANALYSIS OF A DYNAMICAL FRICTIONAL CONTACT MODEL IN THERMOVISCOELASTICITY [J].
Chau, O. ;
Oujja, R. ;
Rochdi, M. .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2008, 1 (01) :61-70
[7]  
Clarke F. H., 1983, OPTIMIZATION NONSMOO
[8]   A system of evolution hemivariational inequalities modeling thermoviscoelastic frictional contact [J].
Denkowski, Z ;
Migórski, S .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (08) :1415-1441
[9]   Hemivariational inequalities in thermoviscoelasticity [J].
Denkowski, Z. ;
Migorski, S. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) :E87-E97
[10]   Micromechanical modeling of piezo-magneto-thermo-elastic composite structures: Part II - Applications [J].
Hadjiloizi, D. A. ;
Georgiades, A. V. ;
Kalamkarov, A. L. ;
Jothi, S. .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2013, 39 :313-327