Finite element embedded localization band for finite strain plasticity based on a regularized strong discontinuity

In the present paper, we consider the problem of how to represent a regular ized strong discontinuity in the finite element environment within the cont ext of large deformation multiplicative elasto-plasticity theory; An issue that has been addressed quite extensively for the geometrically linear theo ry in recent years to establish cohesive zone models in the finite element setting. Our method, which is based on the enhanced assumed strain method, is designed such that the (mixed) element interpolation allows for a regula rized discontinuity within the finite elements. As a result, we obtain trac tion continuity across the embedded band in an automatic fashion for the pr oposed 'enhanced constant strain triangle', whereby the magnitude and mode of the internal discontinuity are obtained for the elastic/plastic loading assumption of the element. It appears that the condition for onset of disco ntinuity development within the elements is identical to the classical loca lization condition for the continuum. We present numerical results for the ductile failure of a plane strain specimen, Copyright (C) 1999 John Wiley & Sons, Ltd.