- Tytuł:
- On Finite Element Uniqueness Studies for Coulombs Frictional Contact Model
- Autorzy:
- Hild, P.
- Powiązania:
- https://bibliotekanauki.pl/articles/907890.pdf
- Data publikacji:
- 2002
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
element skończony
Coulomb's friction law
finite elements
mesh-size dependent uniqueness conditions
non-uniqueness example - Opis:
- We are interested in the finite element approximation of Coulomb's frictional unilateral contact problem in linear elasticity. Using a mixed finite element method and an appropriate regularization, it becomes possible to prove existence and uniqueness when the friction coefficient is less than C varepsilon2 |log(h)|{-1}, where h and varepsilon denote the discretization and regularization parameters, respectively. This bound converging very slowly towards 0 when h decreases (in comparison with the already known results of the non-regularized case) suggests a minor dependence of the mesh size on the uniqueness conditions, at least for practical engineering computations. Then we study the solutions of a simple finite element example in the non-regularized case. It can be shown that one, multiple or an infinity of solutions may occur and that, for a given loading, the number of solutions may eventually decrease when the friction coefficient increases.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 41-50
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł