Non-smoothness in the asymptotics of thin shells and propagation of singularities. Hyperbolic case

• Autorzy: Philippe Karamian , Jacqueline Sanchez-Hubert , Évariste Sanchez Palencia
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

hyperbolic systems; propagation of singularities; shells

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: 12
• Numer: 1
• Strony: 81-90

Daty

wydano

2002

otrzymano

2001-09-01

poprawiono

2002-01-01

Twórcy

autor

Philippe Karamian

• Laboratoire de Mécanique, Université de Caen, boulevard Maréchal Juin, 14032 Caen, France

autor

Jacqueline Sanchez-Hubert

• Laboratoire de Mécanique, Université de Caen, boulevard Maréchal Juin, 14032 Caen, France

autor

Évariste Sanchez Palencia

• Laboratoire de Modélisation en Mécanique, Université Paris VI, 8 rue du capitaine Scott, 75015 Paris, France,

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