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Numerical modelling of ductile plastic damage in bulk metal forming. (English) Zbl 1171.74422
Summary: This work addresses the computational aspects of a model for rigid–plastic damage. The model is a modification of a previous established model formulated by P. Perzyna [Recent Advances in Applied Mechanics, Academic Press: New York, 243–377 (1966), Chapter 9] which is here extended to include isotropic damage. Such an extension is obtained by incorporating the constitutive equations introduced by J. Lemaitre [J. Eng. Mater. Technol. 107, 83 (1985); Comput. Methods Appl. Mech. Eng. 51, 31–49 (1985; Zbl 0546.73085); A Course on Damage Mechanics, Springer, Berlin, Heidelberg, New York (1996; Zbl 0852.73003)] for ductile plastic damage into the original model. In its original version (Lemaitre, loc. cit.) this model does not distinguish tension and compression in the damage evolution law, so it was necessary to introduce a refinement proposed by Ladevèze [in: J. P. Boehler (ed.), Proceedings of CNRS International Colloquium 351, Villars-de-Lans, France (Failure Criteria of Structured Media, 1983, p. 355] and Lemaitre in his book (loc. cit.) which takes into account the partial crack closure effect with isotropic damage. The accuracy of the computational model, developed for the analysis of the material degradation in bulk metal forming processes, is shown through the discussion of the results of two examples, allowing to compare the simulation results with experimental and numerical results obtained by other authors.

MSC:
74R20 Anelastic fracture and damage
74S05 Finite element methods applied to problems in solid mechanics
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