Elastoplastic stability analysis of shells using the physically stabilized nite element SHB8PS

In this paper, we present the formulation of the SHB8PS element, its implementation into the incremental, non-linear and implicit calculation code Stanlax-INCA and examples of applications which demonstrate its e ciency. This element is an 8-node, three-dimensional cube with a preferential direction called the thickness. Therefore, it can be used to represent thin structures while, at the same time, correctly taking into account phenomena throughout the thickness thanks to the use of a numerical integration with ve Gauss points in that direction. This element is subintegrated and thus requires a stabilization mechanism in order to control the hourglass modes. The stabilization technique used is based on the works by Belytschko and Bindeman, which apply an ‘assumed strain method’. The main advantage of this element is the adaptivity of its stabilization term, which is made variable with the elastoplastic evolution throughout the thickness