Autor:
Hoarau-Mantel, Thierry-Vincent ; Matei, Andaluzia
Współtwórca:
Sofonea, Mircea - ed. ; Viano, Juan M. - ed.
Tytuł:
Analysis of a viscoelastic antiplane contact problem with slip-dependent friction
Podtytuł:
Mathematical Modelling and Numerical Analysis in Solid Mechanics
Tytuł publikacji grupowej:
Temat i słowa kluczowe:
antiplane problem ; slip-dependent friction law ; viscoelastic law
Abstract:
We study a mathematical problem modelling the antiplane shear deformation of a viscoelastic body in frictional contact with a rigid foundation. The contact is bilateral and is modelled with a slip-dependent friction law. We present the classical formulation for the antiplane problem and write the corresponding variational formulation. ; Then we establish the existence of a unique weak solution to the model, by using the Banach fixed-point theorem and classical results for elliptic variational inequalities. Finally, we prove that the solution converges to the solution of the corresponding elastic problem as the viscosity converges to zero.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Data wydania:
Typ zasobu:
Strony:
Źródło:
AMCS, volume 12, number 1 (2002) ; kliknij tutaj, żeby przejść