From molecular models to continuum mechanics

被引：170
|
作者：
Blanc, X
Le Bris, C
Lions, PL
机构：
[1] Ecole Natl Ponts & Chaussees, F-77455 Marne La Vallee 2, France
[2] Univ Paris 09, F-75775 Paris 16, France
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2002年 / 164卷 / 04期
关键词：
D O I：
10.1007/s00205-002-0218-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：341 / 381
页数：41
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