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

doi:10.1016/S0252-9602(17)30057-7

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (4): 1048-1060.doi: 10.1016/S0252-9602(17)30057-7

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

Pawe? SZAFRANIEC

Faculty of Mathematics and Computer Science, Jagiellonian University in Krakow, ul. ?ojasiewicza 6, 30348 Krakow, Poland

收稿日期:2016-02-29 修回日期:2016-05-23 出版日期:2017-08-25 发布日期:2017-08-25
基金资助:
Research supported by the Marie Curie International Research Staff Exchange Scheme Fellowship within the 7th European Community Framework Programme under Grant Agreement No. 295118 and the National Science Center of Poland under the Maestro Advanced Project No. DEC-2012/06/A/ST1/00262

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

Pawe? SZAFRANIEC

Faculty of Mathematics and Computer Science, Jagiellonian University in Krakow, ul. ?ojasiewicza 6, 30348 Krakow, Poland

Received:2016-02-29 Revised:2016-05-23 Online:2017-08-25 Published:2017-08-25
Supported by:
Research supported by the Marie Curie International Research Staff Exchange Scheme Fellowship within the 7th European Community Framework Programme under Grant Agreement No. 295118 and the National Science Center of Poland under the Maestro Advanced Project No. DEC-2012/06/A/ST1/00262

摘要/Abstract

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.

关键词: dynamic contact, evolution hemivariational inequality, Clarke subdifferential, nonconvex, parabolic, viscoelastic material, frictional contact, weak solution, piezoelectricity

Abstract:

Key words: dynamic contact, evolution hemivariational inequality, Clarke subdifferential, nonconvex, parabolic, viscoelastic material, frictional contact, weak solution, piezoelectricity

Paweł SZAFRANIEC. ANALYSIS OF AN ELASTO-PIEZOELECTRIC SYSTEM OF HEMIVARIATIONAL INEQUALITIES WITH THERMAL EFFECTS[J]. 数学物理学报(英文版), 2017, 37(4): 1048-1060.

Paweł SZAFRANIEC. ANALYSIS OF AN ELASTO-PIEZOELECTRIC SYSTEM OF HEMIVARIATIONAL INEQUALITIES WITH THERMAL EFFECTS[J]. Acta mathematica scientia,Series B, 2017, 37(4): 1048-1060.

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

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

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