Landau-Type Theory of Planar Crystal Plasticity.

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ID: 69677
2019
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Abstract
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 GL(2,Z). 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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baggio2019landautypephysical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Baggio, R;Arbib, E;Biscari, P;Conti, S;Truskinovsky, L;Zanzotto, G;Salman, O U;
Journal physical review letters
Year 2019
DOI
10.1103/PhysRevLett.123.205501
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