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FFT-based micromechanical simulations of transformation plasticity. Comparison with a limit-analysis-based theory

Abstract : This work addresses the numerical simulation of transformation plasticity by using a numerical scheme based on the fast Fourier transform (FFT). A two-phase material with isotropic thermo-elastoplastic phases is considered. Together with prescribed transformation kinetics, this permits to describe the plasticity induced by the accommodation of the volume change accompanying the phase transformation (Greenwood-Johnson mechanism). We consider random distributions of-phase nu-clei within a homogeneous-phase matrix, with an isotropic growth law of the nuclei. The numerical results are compared to a recently proposed limit-analysis-based theory (El Majaty et al., 2018), which permits in particular to account for a nonlinear dependence of the "transformation plastic strain" with the stress applied. A very good agreement between the FFT simulations and the theory is obtained, for uniaxial and multiaxial loadings, over a wide range of stresses applied.
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https://hal.archives-ouvertes.fr/hal-03005756
Contributor : Youssri El Majaty <>
Submitted on : Wednesday, November 18, 2020 - 9:20:47 AM
Last modification on : Tuesday, December 8, 2020 - 3:39:04 AM
Long-term archiving on: : Friday, February 19, 2021 - 6:31:15 PM

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Youssri El Majaty, Renald Brenner, Jean-Baptiste Leblond. FFT-based micromechanical simulations of transformation plasticity. Comparison with a limit-analysis-based theory. European Journal of Mechanics - A/Solids, Elsevier, 2021, 86, pp.104152. ⟨10.1016/j.euromechsol.2020.104152⟩. ⟨hal-03005756⟩

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