FFT-based micromechanical simulations of transformation plasticity. Comparison with a limit-analysis-based theory - Archive ouverte HAL Access content directly
Journal Articles European Journal of Mechanics - A/Solids Year : 2021

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

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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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Dates and versions

hal-03005756 , version 1 (18-11-2020)

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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, 2021, 86, pp.104152. ⟨10.1016/j.euromechsol.2020.104152⟩. ⟨hal-03005756⟩
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