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Dislocation dynamics and crystal plasticity in the phase-field crystal model

Skaugen, Audun ; Angheluta, Luiza ; Viñals, Jorge

Physical review. B, 2018-02, Vol.97 (5), Article 054113 [Periódico revisado por pares]

College Park: American Physical Society

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  • Título:
    Dislocation dynamics and crystal plasticity in the phase-field crystal model
  • Autor: Skaugen, Audun ; Angheluta, Luiza ; Viñals, Jorge
  • Assuntos: Amplitudes ; Burgers vector ; Crystal defects ; Dislocation mobility ; Elasticity ; Free energy ; Hexagonal lattice ; Plastic flow ; Strain ; Velocity
  • É parte de: Physical review. B, 2018-02, Vol.97 (5), Article 054113
  • Notas: Skaugen, Audun (2018) A unified perspective on two-dimensional quantum turbulence and plasticity. Doctoral thesis http://hdl.handle.net/10852/66179
  • Descrição: A phase-field model of a crystalline material is introduced to develop the necessary theoretical framework to study plastic flow due to dislocation motion. We first obtain the elastic stress from the phase-field crystal free energy under weak distortion and show that it obeys the stress-strain relation of linear elasticity. We focus next on dislocations in a two-dimensional hexagonal lattice. They are composite topological defects in the weakly nonlinear amplitude equation expansion of the phase field, with topological charges given by the standard Burgers vector. This allows us to introduce a formal relation between the dislocation velocity and the evolution of the slowly varying amplitudes of the phase field. Standard dissipative dynamics of the phase-field crystal model is shown to determine the velocity of the dislocations. When the amplitude expansion is valid and under additional simplifications, we find that the dislocation velocity is determined by the Peach-Koehler force. As an application, we compute the defect velocity for a dislocation dipole in two setups, pure glide and pure climb, and compare it with the analytical predictions.
  • Editor: College Park: American Physical Society
  • Idioma: Inglês;Norueguês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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