When a metal crystal is plastically deformed, the applied stress and the dislocation density both increase. The initially almost random distribution of dislocations resolves into one of a number of characteristic patterns. We show that, even in an extremely simplified model, pattern formation can arise purely kinematically, without explicit consideration of the energy, or purely energetically, subject to the assumption that the rate of formation of a pattern is proportional to the thermodynamic driving force for its formation. The latter model agrees satisfactorily with experiment. [References: 4]
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