Journal Articles Continuum Mechanics and Thermodynamics Year : 2006

Quasicontinuum Models of Dynamic Phase Transitions

Abstract

We propose a series of quasicontinuum approximations for the simplest lattice model of a fully dynamic martensitic phase transition in one dimension. The approximations are dispersive and include various non-classical corrections to both kinetic and potential energies. We show that the well-posed quasicontinuum theory can be constructed in such a way that the associated closed-form kinetic relation is in an excellent agreement with the predictions of the discrete theory.

Fichier principal
Vignette du fichier
0508b.pdf (291.02 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Licence
Loading...

Dates and versions

hal-00111476 , version 1 (08-12-2018)

Licence

Identifiers

Cite

Lev Truskinovsky, Anna Vainchtein. Quasicontinuum Models of Dynamic Phase Transitions. Continuum Mechanics and Thermodynamics, 2006, 18 (1-2), pp.1-21. ⟨10.1007/s00161-006-0018-5⟩. ⟨hal-00111476⟩
125 View
163 Download

Altmetric

Share

  • More