Complexity in dislocation dynamics: model

Details Complexity in dislocation dynamics: model Complexity in dislocation dynamics: model

2001-05-02

arxiv.org/abs/cond-mat/0105035v1

Materials Science and Engineering 309-310, 324 (2001)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We propose a numerical model to study the viscoplastic deformation of ice single crystals. We consider long-range elastic interactions among dislocations, the possibility of mutual annihilation, and a multiplication mechanism representing the activation of Frank-Read sources due to dislocation pinning. The overdamped equations of motion for a collection of dislocations are integrated numerically using different externally applied stresses. Using this approach we analyze the avalanche-like rearrangements of dislocations during the dynamic evolution. We observe a power law distribution of avalanche sizes which we compare with acoustic emission experiments in ice single crystals under creep deformation. We emphasize the connections of our model with non-equilibrium phase transitions and critical phenomena.

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