Abstract
Based on rigorous limit-analysis theorems, an analytic plastic potential for porous solids with Tresca matrix was deduced. Key in the model development was the consideration of the specificities of the plastic flow of the matrix. Finite element calculations were conducted for a voided cubic cell obeying Tresca's criterion and compared with the predictions of the new model. The new and intriguing features predicted by the new model, in particular the combined effects of the triaxiality and third invariant on void evolution are confirmed by the numerical calculations. Irrespective of the loading history, it was found that neglecting the local plastic heterogeneity leads to a drastic underestimation of the rate of void evolution.
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