• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

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

View/Open
BBL.pdf (304.4Kb)
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
10.1007/s00205-002-0218-5
Metadata
Show full item record
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

Related items

Showing items related by title and author.

  • Thumbnail
    From Molecular Models to Continuum Mechanics 
    Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis (2002) Article accepté pour publication ou publié
  • Thumbnail
    Atomistic to Continuum limits for computational materials science 
    Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis (2007) Article accepté pour publication ou publié
  • Thumbnail
    From the Newton equation to the wave equation in some simple cases 
    Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis (2012) Article accepté pour publication ou publié
  • Thumbnail
    Du discret au continu pour des modèles de réseaux aléatoires d'atomes 
    Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis (2006) Article accepté pour publication ou publié
  • Thumbnail
    Local profiles and elliptic problems at different scales with defects 
    Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis (2015) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo