LARGE-DEFORMATION FINITE-ELEMENT ANALYSIS WITH INELASTIC CONSTITUTIVEMODELS INCLUDING DAMAGE

In this paper, the kinematic quantities needed for the description of finite deformations with inelastic constitutive models are summarized and the formulation of an inelastic mateial model for large deformatio ns is given. Here, the Bodner-Partom model is used and extended to inc lude damage effects based on Gurson's model. An approximation of the c onstitutive model is given which takes into account the volumetric con straint and which is suitable for the incremental numerical scheme. Th e numerical time integration of the constitutive equations is performe d using an implicit scheme which is equivalent to the radial return me thod of rate independent plasticity. Linearization of the numerical sc heme leads to a consistent tangent operator. Therefore, the overall in cremental algorithm exhibits quadratic convergence.