Dynamics and Instability of Nonlinear Patterns in Phase Transformation Problems
Nonlinear dynamics and instability mechanism of a lattice model for elastic phase transformations are presented. On the basis of a two-dimensional lattice model involving nonlinear and competing interactions the formation and dynamics of twinning in alloys are examined. The emphasis is placed especially on the instability mechanisms of a strain band and modulated structure with respect to the transverse perturbations producing then localized structures on the lattice. The physical conjectures are illustrated by means of numerical simulations. The results are interpreted as microtwinning formation in crystalline alloys.
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