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Atomic-to-continuum derivation in Elasticity with interface energy

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25

Jan

Atomic-to-continuum derivation in Elasticity with interface energy

I will present an atomic-to-continuum derivation in nonlinearelasticity. The atomistic model is based on a two-body interactionenergy, with a potential of the Lennard-Jones type. Performing apointwise Taylor expansion, we obtain a continuum model that predictselastic energy, sharp-interface energy and smooth-interface energy. Thisalso gives a method to describe the configuration of the atoms betweentwo consecutive sharp interfaces, which qualitatively agrees withexperiments in Ni-Mn alloys presenting microstructure.

- Séminaire Analyse non linéaire et EDP

Détails :

Orateur / Oratrice : Carlos Mora-Corral
Date : 25 janvier 2011
Horaire : 11h30 - 12h30
Lieu : Campus de Jussieu salle 309 3e étage barre 15-16.