Creator:

Karamian, Philippe ; Sanchez-Hubert, Jacqueline ; Sanchez Palencia, Évariste

Contributor:

Sofonea, Mircea - ed. ; Viano, Juan M. - ed.

Title:

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

Subtitle:

Mathematical Modelling and Numerical Analysis in Solid Mechanics

Group publication title:

AMCS, volume 12 (2002)

Subject and Keywords:

hyperbolic systems ; propagation of singularities ; shells

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2002

Resource Type:

artykuł

Pages:

81-90

Source:

AMCS, volume 12, number 1 (2002) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego