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From Molecular Models to Continuum Mechanics

Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis (2002), From Molecular Models to Continuum Mechanics, Archive for Rational Mechanics and Analysis;0003-9527, 164, 4, p. 341–381. 10.1007/s00205-002-0218-5

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Type
Article accepté pour publication ou publié
Date
2002
Journal name
Archive for Rational Mechanics and Analysis;0003-9527
Volume
164
Number
4
Publisher
Springer
Pages
341–381
Publication identifier
Metadata
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Author(s)
Blanc, Xavier cc
Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique [CERMICS]
Le Bris, Claude
Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique [CERMICS]
Lions, Pierre-Louis
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
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.
Subjects / Keywords
Type Model; High Order Term; Molecular Model; Order Term; Mechanic Model