Reference : Extension of the Gurson model for the LAGAMINE code
Reports : Other
Engineering, computing & technology : Mechanical engineering
Extension of the Gurson model for the LAGAMINE code
Guzmán Inostroza, Carlos Felipe mailto [Université de Liège - ULiège > Département ArGEnCo > Département Argenco : Secteur MS2F >]
[en] Ductile damage ; GTN model ; numerical integration ; Return mapping algorithm
[en] Damage and fracture modeling deals with material softening and strain localization, which usu-
ally leads to unwanted numerical features like loss of ellipticity of equilibrium equations, bifurcation into a shear band, etc. A first step before dealing with these problems is to have already a stable, accurate integration scheme for the damage model. Here, the numerical integration of an extended version of the Gurson model (comprising plastic anisotropy and mixed isotropic-kinematic hardening) proposed by Ben Bettaieb et al. (2011b), is revisited and further extended to include nucleation, coalescence and shear. The main feature of this scheme is that all the variables are integrated in an implicit way based on the projection algorithm, while the consistent tangent matrix is obtained analytically. A detailed derivation of the equations used to extend the model is presented and a link with the developed subroutine is made. The efficiency of the implementation is assessed by comparing the numerical results from homogeneous cases from those taken from the literature. The results are in good agreement, hence implying that the model can be used in more complex simulations involving heterogeneous strain paths.
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS
Damage prediction in incremental forming
Researchers ; Professionals
Draft number 4

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