From molecular models to continuum mechanics

被引:16
作者
Blanc, X
Le Bris, C
Lions, PL
机构
[1] Ecole Natl Ponts & Chaussees, CERMICS, F-77455 Marne La Vallee, France
[2] Univ Paris 09, CERMADE, CNRS, UMR 7534, F-75775 Paris 16, France
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2001年 / 332卷 / 10期
关键词
D O I
10.1016/S0764-4442(01)01933-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The work we present here is focused on the justification of continuum mechanics as a natural asymptotic of molecular theories when the interatomic distance goes to zero. We give a sound theoretical ground to existing models, and derive and nest study (apparently) new ones. (C) 2001 Academie des sciences/Editions scientifiques et mediclaes Elsevier SAS.
引用
收藏
页码:949 / 956
页数:8
相关论文
共 22 条
[1]  
[Anonymous], UNPUB
[2]  
Ashcroft N. W., 1973, SOLID STATE PHYS
[3]  
BALL JM, 1977, ARCH RATION MECH AN, V63, P337, DOI 10.1007/BF00279992
[4]   DERIVATION OF HIGHER-ORDER GRADIENT CONTINUUM-THEORIES IN 2,3-D NONLINEAR ELASTICITY FROM PERIODIC LATTICE MODELS [J].
BARDENHAGEN, S ;
TRIANTAFYLLIDIS, N .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1994, 42 (01) :111-139
[5]   Geometry optimization for Thomas-Fermi type theories for solids [J].
Blanc, X ;
Le Bris, C .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 329 (06) :551-556
[6]   Geometry optimization for crystals in Thomas-Fermi type theories of solids [J].
Blanc, X .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2001, 26 (3-4) :651-696
[7]  
BLANC X, THESIS ECOLE NATL PO
[8]  
BRAIDES A, 1999, LIMIT DISCRETE SYSTE
[9]  
Catto I., 1998, OXFORD MATH MONOGRAP
[10]  
CHIPOT M, 1988, ARCH RATION MECH AN, V103, P237