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Article Dans Une Revue Philosophical Magazine Année : 2005

Quasicontinuum modelling of short-wave instabilities in crystal lattices

Résumé

We propose a hybrid quasicontinuum model which captures both long and short-wave instabilities of crystal lattices and combines the advantages of weakly non-local (higher gradient) and strongly non-local (integral) continuum models. To illustrate the idea, we study the simplest one-dimensional lattice exhibiting commensurate and incommensurate short-wave instabilities. We explicitly compute stability limits of the homogeneous states using both discrete and quasicontinuum models. The new quasicontinuum approximation is shown to be capable of reproducing a detailed structure of the discrete stability diagram.
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Dates et versions

hal-00111449 , version 1 (17-03-2019)

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Lev Truskinovsky, Anna Vainchtein. Quasicontinuum modelling of short-wave instabilities in crystal lattices. Philosophical Magazine, 2005, 85, pp.4055-4065. ⟨10.1080/14786430500363270⟩. ⟨hal-00111449⟩
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