Landau-Type Theory of Planar Crystal Plasticity - Laboratoire des Sciences des Procédés et des Matériaux
Article Dans Une Revue Physical Review Letters Année : 2019

Landau-Type Theory of Planar Crystal Plasticity

Résumé

We show that nonlinear continuum elasticity can be effective in modeling plastic flows in crystals if it is viewed as a Landau theory with an infinite number of equivalent energy wells whose configuration is dictated by the symmetry group GLð2; ZÞ. Quasistatic loading can be then handled by athermal dynamics, while lattice-based discretization can play the role of regularization. As a proof of principle, we study dislocation nucleation in a homogeneously sheared 2D crystal and show that the global tensorial invariance of the elastic energy foments the development of complexity in the configuration of collectively nucleating defects. A crucial role in this process is played by the unstable higher symmetry crystallographic phases, typically thought to be unrelated to plastic flow.
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Dates et versions

hal-03064330 , version 1 (09-03-2021)

Identifiants

Citer

R. Baggio, E Arbib, P. Biscari, S. Conti, L. Truskinovsky, et al.. Landau-Type Theory of Planar Crystal Plasticity. Physical Review Letters, 2019, 123 (20), pp.205501. ⟨10.1103/PhysRevLett.123.205501⟩. ⟨hal-03064330⟩
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