Dynamic contact problems with velocity conditions

• Autorzy: Oanh Chau , Viorica Venera Motreanu
• 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

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: 12
• Numer: 1
• Strony: 17-26

Daty

wydano

2002

otrzymano

2001-09-01

poprawiono

2002-01-01

Twórcy

autor

Oanh Chau

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

autor

Viorica Venera Motreanu

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

Bibliografia

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