A Class of time-fractional hemivariational inequalities with application to frictional contact problem

2018 ◽  
Vol 56 ◽  
pp. 34-48 ◽  
Author(s):  
Shengda Zeng ◽  
Stanisław Migórski
Keyword(s):  
Contact Problem ◽  
Frictional Contact ◽  
Hemivariational Inequalities ◽  
Frictional Contact Problem

Variational-hemivariational inverse problem for electro-elastic unilateral frictional contact problem

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Othmane Baiz ◽  
Hicham Benaissa ◽  
Zakaria Faiz ◽  
Driss El Moutawakil
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Contact Problem ◽  
Existence And Uniqueness ◽  
Frictional Contact ◽  
Hemivariational Inequalities ◽  
Frictional Contact Problem ◽  
Uniqueness Of A Solution

AbstractIn the present paper, we study inverse problems for a class of nonlinear hemivariational inequalities. We prove the existence and uniqueness of a solution to inverse problems. Finally, we introduce an inverse problem for an electro-elastic frictional contact problem to illustrate our results.

Hemivariational inequalities modeling electro-elastic unilateral frictional contact problem

2017 ◽  
Vol 23 (3) ◽  
pp. 329-347 ◽  
Author(s):  
Piotr Gamorski ◽  
Stanisław Migórski
Keyword(s):  
Contact Problem ◽  
Frictional Contact ◽  
Coupled System ◽  
Contact Friction ◽  
Hemivariational Inequalities ◽  
Unilateral Constraints ◽  
Frictional Contact Problem ◽  
Uniqueness Of The Solution ◽  
Pseudomonotone Mappings ◽  
Weak Solvability

We study a class of abstract hemivariational inequalities in a reflexive Banach space. For this class, using the theory of multivalued pseudomonotone mappings and a fixed-point argument, we provide a result on the existence and uniqueness of the solution. Next, we investigate a static frictional contact problem with unilateral constraints between a piezoelastic body and a conductive foundation. The contact, friction and electrical conductivity condition on the contact surface are described with the Clarke generalized subgradient multivalued boundary relations. We derive the variational formulation of the contact problem which is a coupled system of two hemivariational inequalities. Finally, for such system we apply our abstract result and prove its unique weak solvability.

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