Open AccessFrom Molecular Models¶to Continuum Mechanics
Author(s) -
Xavier Blanc,
Claude Le Bris,
Pierre Louis Lions
Publication year - 2002
Publication title -
archive for rational mechanics and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.933
H-Index - 106
eISSN - 1432-0673
pISSN - 0003-9527
DOI - 10.1007/s00205-002-0218-5
Subject(s) - limiting , continuum mechanics , statistical physics , statistical mechanics , physics , classical mechanics , mechanics , engineering , mechanical engineering
International audienceWe 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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