- Tytuł:
- An Elastic Membrane With an Attached Non-Linear Thermoelastic Rod
- Autorzy:
-
Horn, W.
Sokołowski, J. - Powiązania:
- https://bibliotekanauki.pl/articles/908512.pdf
- Data publikacji:
- 2002
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
materiałoznawstwo
thermoelastic materials
non-linear partial differential equations - Opis:
- We study a thermo-mechanical system consisting of an elastic membrane to which a shape-memory rod is glued. The slow movements of the membrane are controlled by the motions of the attached rods. A quasi-static model is used. We include the elastic feedback of the membrane on the rods. This results in investigating an elliptic boundary value problem in a domain W is subset R2 with a cut, coupled with non-linear equations for the vertical motions of the rod and the temperature on the rod. We prove the existence of a unique global weak solution to this problem using a fixed point argument.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 479-486
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł