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Modelling of crystal plasticity and grain boundary migration of 304L steel at the mesoscopic scale

Abstract : Mechanical and functional properties of metals are strongly related to their microstructures, which are themselves inherited from thermal and mechanical processing. For example, the material grain size distribution plays an important role on the material yield limit and work hardening. The understanding of these microstructure evolutions during thermo-mechanical processes is of prime importance for a better prediction and control of the material mechanical properties. During this Ph.D., we have worked on the modelling of crystal plasticity, static recrystallization and grain growth at the mesoscopic scale in the context of isotropic mobility and interface energy. The full field model developed is based on a finite element formulation combined with a level set framework used to describe the granular structure. This Ph.D. thesis is divided in three main parts: statistical generation of digital microstructures, crystal plasticity modelling and grain boundary migration modelling. In what concerns the digital microstructures statistical generation, a comparative study between two methods (Voronoï and Laguerre-Voronoï) is presented. The ability of the second approach to respect a given grain size distribution is highlighted in 2D and 3D. Secondly, the metallic materials crystal plasticity is studied. Two hardening laws have been implemented and validated: the first one considering the total dislocation density and a second one that differentiates the statistically stored dislocations (SSD) from geometrically necessary dislocations (GNDs). Two different tests cases are used in order to validate the implementation of both hardening laws in the considered crystal plasticity model. The first one corresponds to a planar hot compression test (channel die test) on a 304L stainless steel whereas the second one corresponds to a simple cold compression test on a tantalum olygocrystal composed by six different grains. The obtained results are compared to experimental data for both cases. Grain boundary migration is studied for static recrystallization and grain growth phenomena. Compared to previous work in the considered level-set framework, the focus is on the consideration of capillary forces. Indeed pure grain growth is developed in the considered finite elements/level set formalism and this algorithm is validated using well-known analytical results. Moreover, the results of the developed full field grain growth model are compared in 2D with several well-known mean field grain growth models (Burke and Turbull model and Hillert/Abbruzzese model). The results obtained illustrate that only the Hillert/Abbruzzese model accurately describes grain growth kinetics for all initial grain size distributions. The validity of the Burke and Turnbull model is, on the contrary, restricted to specific distributions. Static recrystallization is then discussed considering both driving forces: (i) internal energy gradient and (ii) grain boundaries capillarity effects. The influence of capillary effects appears to be strongly related to the spatial distribution of the new grains. Finally, the crystal plasticity numerical results are used as input data of the developed static recrystallization full field model. The comparison of the numerical predictions obtained with 304L experimental results allows illustrating the relevance of the SSDs/GNDs formalism used concerning the prediction of the nuclei potential position.
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Submitted on : Friday, September 26, 2014 - 7:07:09 PM
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  • HAL Id : pastel-01069080, version 1


Ana Laura Cruz Fabiano. Modelling of crystal plasticity and grain boundary migration of 304L steel at the mesoscopic scale. Other. Ecole Nationale Supérieure des Mines de Paris, 2013. English. ⟨NNT : 2013ENMP0088⟩. ⟨pastel-01069080⟩



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