A non-local model for the description of twinning in polycrystalline materials in the context of infinitesimal strains: application to a magnesium alloy

Charles Mareau (1) , Hamidreza Abdolvand (2, 3)

1 LAMPA - Laboratoire Angevin de Mécanique, Procédés et InnovAtion
2 Department of Materials
3 UWO - University of Western Ontario

A polycrystalline plasticity model, which incorporates the contribution of deformation twinning, is proposed. For this purpose, each material point is treated as a composite material consisting of a parent constituent and multiple twin variants. In the constitutive equations, the twin volume fractions and their spatial gradients are treated as external state variables to account for the contribution of twin boundaries to free energy. The set of constitutive relations is implemented in a spectral solver, which allows solving the differential equations resulting from equilibrium and compatibility conditions. The proposed model is then used to investigate the behavior of a AZ31 magnesium alloy. For the investigated loading conditions, the mechanical behavior is controlled by the joint contribution of basal slip and tensile twinning. Also, according to the numerical results, the development of crystallographic texture, morphological texture and internal stresses is consistent with the experimental observations of the literature.

Mots clés: microstructures; twinning; constitutive behaviour; crystal plasticity; spectral method

Domaines: Mécanique des matériaux [physics.class-ph]

Charles Mareau, Hamidreza Abdolvand. A non-local model for the description of twinning in polycrystalline materials in the context of infinitesimal strains: application to a magnesium alloy. Journal of Theoretical, Computational and Applied Mechanics, 2022, pp.7562. ⟨10.46298/jtcam.7562⟩. ⟨hal-03881334⟩