FINITE ELEMENT ANALYSIS FOR GRADIENT PLASTICITY AND MODELLING OF STRAIN LOCALIZATION

A finite element method for gradient plastic continuum is presented The Laplacian of the internal state variable is determined on the basis of a least square polynomial approximation of the internal state variable around each integration point A mixed strain element with one point guadrature and hourglass control derived from the Hu-Washizu principle and the average von Mises yield criterion are particularly considered The consistent element stiffness matrix and consistent algorithm for the integratio...