Asymptotic justification of dynamical equations for generalized Marguerre-von Karman anisotropic shallow shells

摘要

In this paper, using technics from asymptotic analysis, we show that the three-dimensional dynamical model for a non-linearly elastic shallow shell made of anisotropic material, with boundary conditions of generalized Marguerre-von Karman's type, reduces to two-dimensional dynamical model.