A frictionless contact problem for viscoelastic materials
نویسندگان
چکیده
منابع مشابه
A Frictionless Contact Problem for Viscoelastic Materials
We consider a mathematical model which describes the contact between a deformable body and an obstacle, the so-called foundation. The body is assumed to have a viscoelastic behavior that we model with the KelvinVoigt constitutive law. The contact is frictionless and is modeled with the well-known Signorini condition in a form with a zero gap function. We present two alternative yet equivalent w...
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In this paper it is shown that the change in the energy for a linearly viscoelastic body (with Kelvin–Voigt type viscosity) in frictionless contact with a rigid obstacle can be accounted for by viscous losses and the work done by external forces. Thus there is no change in the energy due to impacts, unlike the case of rigid-body dynamics. The result can be extended to a wide class of dynamic vi...
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We consider a mathematical model which describes the unilateral quasistatic contact of two elastic-viscoplastic bodies. The contact is without friction and it is modeled by the classical Signorini boundary conditions. The model consists of an evolution equation coupled with a time-dependent variational inequality. It has been shown that the variational problem of the model has a unique solution...
متن کاملOn the Frictionless Unilateral Contact of Two Viscoelastic Bodies
We consider a mathematical model which describes the quasistatic contact between two deformable bodies. The bodies are assumed to have a viscoelastic behavior that we model with Kelvin-Voigt constitutive law. The contact is frictionless and is modeled with the classical Signorini condition with zero-gap function. We derive a variational formulation of the problem and prove the existence of a un...
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Situations of contact between deformable bodies are very common in industry and everyday life such as train wheels with the rails, a shoe with the floor, tectonic plates, the car’s braking system, etc. Because of the importance of the contact problems, a considerable effort has been made in the modeling and numerical simulations, and the engineering literature concerning this topic is rather ex...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2002
ISSN: 1110-757X,1687-0042
DOI: 10.1155/s1110757x02000219