Dynamic Contact Problems With Velocity Conditions

• Autorzy: Chau O. , Motreanu V. V.
• Języki publikacji: EN

Abstrakty

EN

We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of second-order evolution variational inequalities. We show that the solutions of the viscoelastic problems converge to the solution of the corresponding elastic problem as the viscosity tensor tends to zero and when the frictional potential function converges to the corresponding function in the elastic problem

Słowa kluczowe

EN

viscoelastic; elastic; subdifferential boundary condition; dynamic process; nonlinear hyperbolic variational inequality; maximal monotone operator; weak solution

PL

lepkosprężystość; warunek brzegowy; proces dynamiczny; operator monotoniczny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 1
• Strony: 17--26
• Opis fizyczny: Bibliogr.17 poz.

Twórcy

autor

Chau O.

• Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan Cedex, France

autor

Motreanu V. V.

• Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan Cedex, France

Bibliografia

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