Modélisation et simulation numérique robuste de l’endommagement ductile

Abstract : The major goal of this dissertation is to develop a robust model for ductile damage simulation. Because of the softening behavior and the significantly large deformation in ductile damage, two principle difficulties should be dealt with carefully: mesh-dependency and volumetric locking. In this thesis, we adopt a logarithmic finite strain framework in which the Gurson-Tvergaard-Needleman constitutive law is reformulated. Then a non-local formulation with regularization of hardening variable is applied so as to solve mesh dependency and strain localization problem. In addition, the non-local model is combined with mixed “displacement-pressure-volume variation” elements to avoid volumetric locking. Thereby we establish a mesh-independent and locking-free finite strain framework for ductile damage modelling. Attention is paid to mathematical properties and numerical performance of the model. Finally, after an identification work of a nuclear steel,we carry out simulations on normalized specimens (NT, CT, SENT) as well as an industrial tube in order to compare with experimental results.
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Yi Zhang. Modélisation et simulation numérique robuste de l’endommagement ductile. Matériaux. PSL Research University, 2016. Français. ⟨NNT : 2016PSLEM003⟩. ⟨tel-01354272⟩

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