online read us now
Paper details
Number 1 - March 2002
Volume 12 - 2002
Non-smoothness in the asymptotics of thin shells and propagation of singularities. Hyperbolic case
Philippe Karamian, Jacqueline Sanchez-Hubert, Évariste Sanchez Palencia
Abstract
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.
Keywords
hyperbolic systems, propagation of singularities, shells