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  4. Hemivariational inverse problem for contact problem with locking materials

Hemivariational inverse problem for contact problem with locking materials

MMC.
2021;
Volume 8, Number 4
: pp. 665–677
https://doi.org/10.23939/mmc2021.04.665
Received: May 23, 2021
Accepted: June 07, 2021

Mathematical Modeling and Computing, Vol. 8, No. 4, pp. 665–677 (2021)

Authors:
  1. Z. Faiz
  2. O. Baiz
  3. H. Benaissa
  4. D. El Moutawakil
1
Sultan Moulay Slimane University, Lab MATIC, FP of Khouribga, Morocco
2
Ibn Zohr University, FP of Ouarzazate, Morocco
3
Sultan Moulay Slimane University, Multidisciplinary Research and Innovation Laboratory, FP of Khouribga, Morocco
4
Sultan Moulay Slimane University, Lab MATIC, FP of Khouribga, Morocco

The aim of this work is to study an inverse problem for a frictional contact model for locking material.  The deformable body consists of electro-elastic-locking materials.  Here, the locking character makes the solution belong to a convex set, the contact is presented in the form of multivalued normal compliance, and frictions are described with a sub-gradient of a locally Lipschitz mapping.  We develop the variational formulation of the model by combining two hemivariational inequalities in a linked system.  The existence and uniqueness of the solution are demonstrated utilizing recent conclusions from hemivariational inequalities theory and a fixed point argument.  Finally, we provided a continuous dependence result and then we established the existence of a solution to an inverse problem for piezoelectric-locking material frictional contact problem.

locking piezoelectric material
frictional contact problem
inverse problem
hemivariational inequality
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