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- W2964844054 abstract "Abstract We examine a mathematical model that describes a quasistatic adhesive contact between a viscoplastic body and deformable foundation. The material’s behaviour is described by the rate-type constitutive law which involves functions with a non-polynomial growth. The contact is modelled by the normal compliance condition with limited penetration and adhesion, a subdifferential friction condition also depending on adhesion, and the evolution of bonding field is governed by an ordinary differential equation. We present the variational formulation of this problem which is a system of an almost history-dependent variational–hemivariational inequality for the displacement field and an ordinary differential equation for the bonding field. The results on existence and uniqueness of solution to an abstract almost history-dependent inclusion and variational–hemivariational inequality in the reflexive Orlicz–Sobolev space are proved and applied to the adhesive contact problem." @default.
- W2964844054 created "2019-08-13" @default.
- W2964844054 creator A5063156291 @default.
- W2964844054 date "2020-02-01" @default.
- W2964844054 modified "2023-10-16" @default.
- W2964844054 title "Adhesive contact problem for viscoplastic materials" @default.
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- W2964844054 doi "https://doi.org/10.1016/j.nonrwa.2019.102982" @default.
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