2019
DOI: 10.5269/bspm.v38i7.44258
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Variational analysis for some frictional contact problems

Abstract: We consider a class of evolutionary variational problems which describes the static frictional contact between a piezoelectric body and a conductive obstacle. The formulation is in a form of coupled system involving the displacement and electric potentiel fieelds. We provide the existence of unique weak solution of the problems. The proof is based on the evolutionary variational inequalities and Banach's xed point theorem.

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Cited by 4 publications
(2 citation statements)
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“…Finally, (2.6) represents the contact with Coulomb's friction law where ξ is a given friction bound. Frictional contact problems, where considered, for example in [12,13,16,18].…”
Section: The Contact Modelmentioning
confidence: 99%
“…Finally, (2.6) represents the contact with Coulomb's friction law where ξ is a given friction bound. Frictional contact problems, where considered, for example in [12,13,16,18].…”
Section: The Contact Modelmentioning
confidence: 99%
“…A slip-dependent frictional contact problem for electro-elastic materials was studied in [21]. Contact problems with friction or adhesion for electro-viscoelastic materials were studied in [4,9,15,20,22,27] and recently in [8] for the case of an electrically conductive foundation. For works concerned with the frictional contact problems for electro-viscoelastic materials with long memory, we refer to [15,16] and the references therein.…”
Section: Introductionmentioning
confidence: 99%