Stabilisation et projection de type « Assumed Strain » de l’élément de coque massif « SHB8PS » pour éliminer les problèmes de verrouillage

Abstract

In this work, the formulation of the finite element “SHB8PS” is revisited in order to eliminate some persistent membrane locking or transverse shear locking. Let us recall that the “SHB8PS” is a continuum mechanics shell element obtained from a purely three-dimensional formulation. It therefore possesses eight nodes and five integration points distributed according to the thickness direction. Thus, it can be used to model thin structures while correctly taking into account the various phenomena throughout the thickness. In order to improve its calculation performances and to avoid some blockages, reduced integration was employed. The hourglass modes generated by under-integration are efficiently stabilized and the persistent locking modes are eliminated using a projection technique entering under the “Assumed Strain Method” formalism.