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Related Experiment Videos

Plastic flow in two-dimensional solids.

Akira Onuki1

  • 1Department of Physics, Kyoto University, Kyoto 606-8502, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
PubMed
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This study models plastic deformation in 2D solids using a Ginzburg-Landau approach. It reveals that large strains create disordered states, forming metastable slips due to dislocation buildup.

Area of Science:

  • Solid-state physics
  • Materials science
  • Continuum mechanics

Background:

  • Plastic deformation in solids is complex, involving microstructural changes.
  • Understanding the dynamics of dislocations is crucial for predicting material behavior under stress.
  • Existing models often simplify or neglect the role of defects and their collective behavior.

Purpose of the Study:

  • To develop a time-dependent Ginzburg-Landau model for plastic deformation in 2D solids.
  • To investigate the formation and stability of slips (dislocations) during plastic flow.
  • To analyze the relationship between applied strain, dislocation density, and the resulting material disorder.

Main Methods:

  • A time-dependent Ginzburg-Landau model was formulated.

Related Experiment Videos

  • The model incorporates displacement (u) and lattice velocity (v) as dynamic variables.
  • Elastic energy density was defined as a periodic function of shear and tetragonal strains.

    • Main Results:

    • Slips, composed of edge dislocations, form at large strains.
    • Slip orientation is optimized when parallel/perpendicular to flow or at +/-pi/4 angles during stretching.
    • High dislocation densities persist after flow stops, leading to metastable, disordered states.

    Conclusions:

    • The Ginzburg-Landau model captures the emergence of disorder in plastically deformed 2D solids.
    • Metastable states arise from the Peierls potential and accumulated dislocations.
    • Elastic energy can be decomposed into affine deformation and defect-related disorder components.