Dynamics and Instability of Nonlinear Patterns in Phase Transformation Problems

  • J. Pouget
Part of the NATO ASI Series book series (NSSB, volume 312)


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.


Instability Mechanism Nonlinear Structure Critical Wavenumber Transverse Perturbation Strain Band 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • J. Pouget
    • 1
  1. 1.Laboratoire de Modélisation en Mécanique (associé au CNRS)Université Pierre et Marie CurieParis Cédex 05France

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