Archive for Rational Mechanics and Analysis

, Volume 164, Issue 4, pp 341–381 | Cite as

From Molecular Models¶to Continuum Mechanics

  • X. Blanc
  • C. Le Bris
  • P.-L. Lions

Abstract

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • X. Blanc
    • 1
  • C. Le Bris
    • 1
  • P.-L. Lions
    • 2
  1. 1.CERMICS¶École Nationale des Ponts et Chaussées¶6 & 8, avenue Blaise Pascal¶Cité Descartes – Champs-sur-Marne¶77455 Marne-la-Vallée Cedex 2¶France¶e-mail: blanc@cermics.enpc.fr¶e-mail: lebris@cermics.enpc.frFR
  2. 2.CEREMADE¶Université de Paris-Dauphine¶Pl. du Maréchal de Lattre de Tassigny¶75775 Paris Cedex 16¶France¶e-mail: lions@ens.frFR

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