Implementation of a nonlocal damage model – mesh dependence in sheet metal forming
Résumé
The aim of the present work is to propose a micromechanical nonlocal damage model in order to predict the damage evolution in metal forming processes, especially in cold forging of small components. The modelling considered here is based on a Gurson model [1] modified by Tvergaard and Needleman [2], where the nonlocal damage has been defined in the same manner as Pijaudier-Cabot and Bazant [3]. The nonlocal void volume fraction is determined from an average of the usual local porosity at the neighbouring points using a weighting function. Two different weighting functions are used, the first one is defined by a Gaussian distribution function, the second one is defined in the same manner as Tvergaard and Needlemann [4]; the use of these two different functions is compared. The neighbourhood is determined by a material length cl . The influence of the value of the parameter cl is studied. The ability of such nonlocal damage modelling to reduce the mesh-size dependency is investigated for the case of a 2D tensile specimen with a centred hole. Numerical results show that nonlocal extension trends to lower the mesh dependence.
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