- Tytuł:
- Analysis and numerical approximation of an elastic frictional contact problem with normal compliance
- Autorzy:
-
Han, Weimin
Sofonea, Mircea - Powiązania:
- https://bibliotekanauki.pl/articles/1338688.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
normal compliance
finite element approximation
Coulomb's law
error estimates
frictional contact
variational inequality
fixed point - Opis:
- We consider the problem of frictional contact between an elastic body and an obstacle. The elastic constitutive law is assumed to be nonlinear. The contact is modeled with normal compliance and the associated version of Coulomb's law of dry friction. We present two alternative yet equivalent weak formulations of the problem, and establish existence and uniqueness results for both formulations using arguments of elliptic variational inequalities and fixed point theory. Moreover, we show the continuous dependence of the solution on the contact conditions. We also study the finite element approximations of the problem and derive error estimates. Finally, we introduce an iterative method to solve the resulting finite element system.
- Źródło:
-
Applicationes Mathematicae; 1999, 26, 4; 415-435
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł