Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 1, Pages 68–78
DOI: https://doi.org/10.17516/1997-1397-2019-12-1-68-78
(Mi jsfu729)
 

Variational analysis of a dynamic electroviscoelastic problem with friction

Aziza Bachmar, Souraya Boutechebak, Touffik Serrar

Department of Mathematics, Faculty of Sciences, Ferhat Abbas University of Setif-1, 19000, Algeria
References:
Abstract: A dynamic contact problem is considered in the paper. The material behavior is described by electro-visco-elastic constitutive law with piezoelectric effects. The body is in contact with a rigide obstacle. Contact is described with the Signorini condition, a version of Coulomb's law of dry friction, and with a regularized electrical conductivity condition. A variational formulation of the problem is derived. Under the assumption that coefficient of friction is small, existence and uniqueness of a weak solution of the problem is proved. The proof is based on evolutionary variational inequalities and fixed points of operators.
Keywords: piezoelectric, frictional contact, visco-elastic, fixed point, dynamic process, Сoulomb's law of friction, variational inequality.
Received: 06.04.2018
Received in revised form: 06.07.2018
Accepted: 06.08.2018
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: English
Citation: Aziza Bachmar, Souraya Boutechebak, Touffik Serrar, “Variational analysis of a dynamic electroviscoelastic problem with friction”, J. Sib. Fed. Univ. Math. Phys., 12:1 (2019), 68–78
Citation in format AMSBIB
\Bibitem{BacBouSer19}
\by Aziza~Bachmar, Souraya~Boutechebak, Touffik~Serrar
\paper Variational analysis of a dynamic electroviscoelastic problem with friction
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 1
\pages 68--78
\mathnet{http://mi.mathnet.ru/jsfu729}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-1-68-78}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000458446400006}
Linking options:
  • https://www.mathnet.ru/eng/jsfu729
  • https://www.mathnet.ru/eng/jsfu/v12/i1/p68
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024