Homogeneous nucleation of dislocations as bifurcations in a periodized discrete elasticity model

  title={Homogeneous nucleation of dislocations as bifurcations in a periodized discrete elasticity model},
  author={I. Plans and Ana Carpio and Luis L. Bonilla},
A novel analysis of homogeneous nucleation of dislocations in sheared two-dimensionalcrystals described by periodized-discrete-elasticity models is presented. When the crystal issheared beyond a critical strain F = Fc, the strained dislocation-free state becomes unstable via a subcritical pitchfork bifurcation. Selecting a fixed final applied strain Ff >Fc, different simultaneously stable stationary configurations containing two or four edge dislocations may be reached by setting F = Ff t/tr… Expand

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