A convergence result for evolutionary variational inequalities and applications to antiplane frictional contact problems

• Autorzy: Mircea Sofonea , Mohamed Ait Mansour
• Języki publikacji: EN

Abstrakty

EN

We consider a class of evolutionary variational inequalities depending on a parameter, the so-called viscosity. We recall existence and uniqueness results, both in the viscous and inviscid case. Then we prove that the solution of the inequality involving viscosity converges to the solution of the corresponding inviscid problem as the viscosity converges to zero. Finally, we apply these abstract results in the study of two antiplane quasistatic frictional contact problems with viscoelastic and elastic materials, respectively. For each of the problems we prove the existence of a unique weak solution; we also provide convergence results, together with their mechanical interpretation.

Kategorie tematyczne

• 74M15: Contact
• 74M10: Friction
• 49J40: Variational methods including variational inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 1
• Strony: 55-67

Daty

wydano

2004

Twórcy

autor

Mircea Sofonea

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

autor

Mohamed Ait Mansour

• Laboratoire d'Arithmétique, de Calcul formel et d'Optimisation, Université de Limoges, 123 Avenue A. Thomas, 87060 Limoges, France

Identyfikatory

DOI

10.4064/am31-1-5