- Tytuł:
- Non-Smoothness in the Asymptotics of Thin Shells and Propagation of Singularities. Hyperbolic Case
- Autorzy:
-
Karamian, P.
Sanchez-Hubert, J
Sanchez Palencia, E. - Powiązania:
- https://bibliotekanauki.pl/articles/907888.pdf
- Data publikacji:
- 2002
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
matematyka
hyperbolic systems
propagation of singularities
shells - Opis:
- We consider the limit behaviour of elastic shells when the relative thickness tends to zero. We address the case when the middle surface has principal curvatures of opposite signs and the boundary conditions ensure the geometrical rigidity. The limit problem is hyperbolic, but enjoys peculiarities which imply singularities of unusual intensity. We study these singularities and their propagation for several cases of loading, giving a somewhat complete description of the solution.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 81-90
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki