Dynamic analysis of viscoelastoplastic anisotropic shells

This paper is concerned with an application of the finite elementmethod to the viscoelastoplastic response of an anisotropic shell under dynamic loads. The generalized Maxwell model is incorporated into the von Mises' anisotropic yield function. This permits a derivation of the incremental stress as functions of elastic, viscous, and plastic strains. This relationship is then inserted into the incremental equation of motion for direct numerical integration. Anisotropic parameters and plastic tangent stiffness matrices are updated at each incremental time step. Numerical results are presented for a spherical cap subjected to uniformly distributed transverse dynamic loads of infinite duration.