Analysis of quasistatic viscoelastic viscoplastic piezoelectric contact problem with friction and adhesion
DOI:
https://doi.org/10.24193/subbmath.2022.4.15Keywords:
Viscoelastic, viscoplastic, piezoelectric, bilateral contact, non local Coulomb friction, adhesion, quasi-variational inequality, weak solution, fixed point.Abstract
In this paper we study the process of bilateral contact with adhesion and friction between a piezoelectric body and an insulator obstacle, the so-called foundation. The material’s behavior is assumed to be electro-viscoelastic- viscoplastic; the process is quasistatic, the contact is modeled by a general non-local friction law with adhesion. The adhesion process is modeled by a bonding field on the contact surface. We derive a variational formulation for the problem and then, under a smallness assumption on the coefficient of friction, we prove the existence of a unique weak solution to the model. The proofs are based on a general results on elliptic variational inequalities and fixed point arguments.
Mathematics Subject Classification (2010): 74M10, 74M15, 74F05, 74R05, 74C10.
Received 13 December 2019; Accepted 17 January 2020.
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