Quasistatic frictional problems for elastic and viscoelastic materials.

Autor:	Chau, Oanh
Další autoři:	Motreanu, Dumitru Sofonea, Mircea, 1957-
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles elastic material viscoelastic material frictional contact evolution variational inequality fixed point weak solution approach to elasticity subdifferential boundary conditions
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: We consider two quasistatic problems which describe the frictional contact between a deformable body and an obstacle, the so-called foundation. In the first problem the body is assumed to have a viscoelastic behavior, while in the other it is assumed to be elastic. The frictional contact is modeled by a general velocity dependent dissipation functional. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of evolution variational inequalities and fixed-point arguments. We also prove that the solution of the viscoelastic problem converges to the solution of the corresponding elastic problem, as the viscosity tensor converges to zero. Finally, we describe a number of concrete contact and friction conditions to which our results apply.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink