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Numerical modelling of ductile damage voids growth mechanism using a level-set technique and anisotropic mesh adaptation

Abstract : A micro-scale finite element model is presented in order to describe ductile fracture phenomena for steel alloys. Ductile damage usually involves the nucleation, growth and coalescence of microvoids in a plastically deforming material. This study focuses on the voids growth process. It is assumed that voids already exist, either due to matrix/inclusions debonding or to inclusions fragmentation. Therefore, three phases must be taken into account: matrix, inclusions and voids. To model these three phases, a level set framework coupled with anisotropic remeshing techniques is used. Inclusions and voids interfaces are described implicitly using level set functions in a monolithic context. To ensure the accuracy of the finite element calculations, an anisotropic meshing - remeshing strategy is employed. This strategy allows constructing a refined mesh near the interfaces according to an adapted anisotropic metric. The finite element model is developed using the C++ library CimLib. This entire framework is available for 2D configurations, and is under progress for 3D configurations. The matrix is modelled with an elastic-plastic material behaviour law whereas the inclusion is considered as elastic. Voids are modelled as a very soft elastic material (Young modulus almost zero). Firstly, the numerical strategy is validated for simple test cases by comparison with a multi-domain formulation existing in the Forge2009® software. Secondly, the numerical methodology is adopted to study the effect of different parameters such as particles orientation, particles spacing and stress triaxiality ratio on voids growth. A good agreement is found with available experimental data and those found in the literature. Finally, a demonstration study of voids growth for a real complex 2D microstructure is performed to illustrate the potential of the proposed methodology. References : [1] N. Schliiter, F. Grimpe, W. Bleck, W. Dahl, Modeling of the damage in ductile steels, Comp. Mater. Sci. 7, 27-33, (1996). [2] M. Bernacki, H. Resk, T. Coupez, R.E. Logé, Finite element model of primary recrystallization in polycrystalline aggregates using a level set framework, Modelling Simul. Mater. Sci. Eng. 17 (2009) 064006. [3] H. Digonnet, L. Silva, T. Coupez, Cimlib: a fully parallel application for numerical simulations based on components assembly, in: J.M.A. Cesar de Sa, A.D. Santos (Eds.), Proc. NUMIFORM '07, American Institute of Physics, 269-274, (2007).
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Submitted on : Friday, March 9, 2012 - 4:14:19 PM
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  • HAL Id : hal-00677783, version 1


Emile Roux, Marc Bernacki, Pierre-Olivier Bouchard. Numerical modelling of ductile damage voids growth mechanism using a level-set technique and anisotropic mesh adaptation. CFRAC 2011 - International Conference on Computational Modeling of Fracture and Failures - Center for Numerical Methods in Engineering., Jun 2011, Barcelona, Spain. ⟨hal-00677783⟩



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