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From single crystals to polycrystalline material modeling: a FFT-based Dislocation Dynamics approach

Wednesday (26.09.2018)
15:45 - 16:00 S1/01 - A4
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Discrete Dislocation Dynamics (DD) is a well-established simulation technique aimed at reproducing the collective behavior of dislocations at the mesoscale. Despite the considerable progresses made in last decades, DD simulations are still unable to precisely reproduce the mechanical properties of large poly-crystals and, especially, of irradiated polycrystalline materials. An important step in the development of predictive simulations of this class of materials is the improvement of the numerical capabilities of DD codes to model dislocation properties in large volumes representative of the materials microstructures.

Here we propose a promising strategy based on the coupling between two advanced simulation tools. First, the Discrete-Continuous Model (DCM) [1-2] is employed. This numerical model based on the Eigenstrain theory, couples an extensive DD simulation code (microMegas), to an elastic solver dedicated to boundary value problems resolution. The DCM allows for the rigorous solution of dislocation-surface and -interfaces interactions and has been proven to efficiently model plasticity in nano- and micro-objects. Nevertheless, its application has been limited to samples of few m in size. Second, to overcome this difficulty, we employ a solver based on Fast Fourier Transform (FFT) calculation [3]. In particular, we employ AMITEX_FFTP, a new distributed parallel elastic solver based on FFT calculation [4]. Using this approach, the stress state definition in the simulated volumes can be increased from a 64x64x64 grid to a 1024x1024x1024 one, hence allowing the simulation of realistic dislocation density in a multi-grains periodic volume over significant plastic strains (5-10%).

[1] C. Lemarchand, B. Devincre, and L. Kubin, J. Mech. Phys. Solids 49:1969 (2001)

[2] O. Jamond, R. Gatti, A. Roos, and B. Devincre, International Journal of Plasticity 80, 19 (2016)

[3] N. Bertin, M. V. Upadhyay, C. Pradalier, and L. Capolungo, Modelling Simul. Mater. Sci. Eng. 23, 065009 (2015)


Additional Authors:
  • Dr. Benoit Devincre
    National Center for Scientific Research (CNRS) / ONERA
  • Dr. Riccardo Gatti
    National Center for Scientific Research (CNRS) / ONERA
  • Dr. Lionel Gélébart
  • Dr. Laurant Dupuy