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On the asymptotic study of transmission problem in a thin domain

  • Aissa Benseghir , Hamid Benseridi EMAIL logo und Mourad Dilmi
Veröffentlicht/Copyright: 22. Juni 2018

Abstract

In this paper, we study the theoretical analysis of a frictionless contact between two general elastic bodies in a stationary regime in a three-dimensional thin domain Ωε with Tresca friction law. Firstly, the problem statement and variational formulation are presented. We then obtain the estimates on displacement independently of the parameter ε. Finally, we obtain the main results concerning the limit of a weak problem and its uniqueness.

MSC 2010: 35R35; 76F10; 78M35

Acknowledgements

The authors thank Professor El-Bachir Yallaoui for his help in revising the English language in the article.

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Received: 2017-09-13
Revised: 2018-03-17
Accepted: 2018-05-13
Published Online: 2018-06-22
Published in Print: 2019-02-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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