A Quasistatic contact problem with slip dependent friction for linear elastic materials

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Tarih

2009

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Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

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Organizasyon Birimleri

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Özet

We consider a mathematical model describing the contact with friction between a deformable body and a foundation. We use a linear elastic constitutive law. The contact takes into account the effects of friction, which are modelled with the slip dependent friction law. We derive a variational formulation of the problem and establish the existence of a weak solution under a smallness assumption of the friction coefficient. The proof is based on arguments of compactness, lower semicontinuity and time discretization.

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Kaynak

International Conference of Mathematical Sciences

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Künye

Brahim, N. ve Benyattou, B. (2009). A Quasistatic contact problem with slip dependent friction for linear elastic materials. Maltepe Üniversitesi. s. 307.