A Simple Thin Shell Triangle for Large Strain Plasticity

FLORES FERNANDO G.

Victoria, Columbia Británica

Congreso; 1st. Canadian Conference on Non-linear Solid Mechanics; 1999

Unversity of Victoria

A simple finite element triangle for thin shell analysis is presented. It has only translational degrees of freedom (9DOF) and is based in a total Lagrangian Formulation. Large strain plasticity is considered using a logarithmic strain-stress pair. A plane stress isotropic behavior with an additive decomposition of elastic and plastic strains is assumed. An hyperelastic law is considered for the elastic part while for the plastic part a von Mises yield function with non-linear isotropic hardening is adopted. It is an extension of a previos similar element based on an updated Lagrangian Formulation with hypoelastic constitutive law. The element has been implemented in an explicit (hydro-)code adequete to simulate sheet-stamping processes. Two examples are shown to assess the performance of the present formulation.