Justification du modèle non linéaire de coque faiblement courbée de W.t. Koiter par approche asymptotique

Abstract

We present a justification of the nonlinear Koiter's shallow-shell model using an asymptotic approach. Our method needs no a priori assumptions. Putting equilibrium equations into a nondimensional form, dimensionless numbers naturally appear. These numbers characterize level forces and shell geometry. In the case of a shallow-shell subjected to moderate level forces, the nonlinear Koiter's shallow-shell model is obtained.