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From Molecular Models to Continuum Mechanics

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Date
2002
Dewey
Sciences connexes (physique, astrophysique)
Sujet
Type Model; High Order Term; Molecular Model; Order Term; Mechanic Model
Journal issue
Archive for Rational Mechanics and Analysis;0003-9527
Volume
164
Number
4
Publication date
10-2002
Article pages
341–381
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s00205-002-0218-5
URI
https://basepub.dauphine.fr/handle/123456789/17467
Collections
  • CEREMADE : Publications
Metadata
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Author
Blanc, Xavier
51621 Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique [CERMICS]
Le Bris, Claude
51621 Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique [CERMICS]
Lions, Pierre-Louis
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
Abstract (EN)
We present here a limiting process allowing us to write some continuum mechanics models as a natural asymptotic of molecular models. The approach is based on the hypothesis that the macroscopic displacement is equal to the microscopic one. We carry out the corresponding calculations in the case of two-body energies, including higher order terms, and also in the case of Thomas-Fermi type models.

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