Modélisation théorique et numérique des critères d'instabilité plastique. Application à la prédiction des phénomènes de striction et de localisation lors d'opérations d'emboutissage.

Abstract : The aim of this work is to contribute to the prediction of diffuse necking, localized necking and localization by the comparison of the theoretical basis of plastic instability criteria and by the numerical simulation of Forming Limit Diagrams. Four main categories of criteria may be distinguished. They are based on the maximum force principle, on the bifurcation analysis, on the stability analysis or on the multizone method. To allow a comparison, main criteria are then rewritten in a common frame. For diffuse necking, a theoretical relation is established between the force maximum criterion (MFC) and limit point bifurcation criterion. For localization, the predictions obtained with Marciniak - Kuczynski model tend to Rice criterion when M - K initial defect tends to zero. Some elements of comparison of plastic instability criteria are given by numerical simulation of FLD. The influence of the choice of hardening laws and their identification is highlighted.
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Submitted on : Wednesday, May 9, 2012 - 3:37:35 PM
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Guillaume Altmeyer. Modélisation théorique et numérique des critères d'instabilité plastique. Application à la prédiction des phénomènes de striction et de localisation lors d'opérations d'emboutissage.. Mécanique des matériaux [physics.class-ph]. Arts et Métiers ParisTech, 2011. Français. ⟨NNT : 2011ENAM0042⟩. ⟨pastel-00695660⟩

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