Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics: the convex case

被引：9

作者：

Blanc, Xavier ^{[1
]}

Le Bris, Claude ^{[2
,3
]}

Legoll, Frederic ^{[2
,3
,4
]}

机构：

[1] Univ Paris 06, Lab JL Lions, F-75252 Paris, France

[2] MICMAC, F-78153 Le Chesnay, France

[3] Ecole Natl Ponts & Chaussees, CERMICS, F-77455 Cite Descartes, Marne La Vallee, France

[4] EDF R&D, F-92140 Clamart, France

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2007年 / 23卷 / 02期

关键词：

multiscale methods; variational problems; continuum mechanics; discrete mechanics;

D O I：

10.1007/s10255-007-0364-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to describe a solid which deforms smoothly in some region, but non smoothly in some other region, many multiscale methods have been recently proposed that aim at coupling an atomistic model (discrete mechanics) with a macroscopic model (continuum mechanics). We provide here a theoretical basis for such a coupling in a one-dimensional setting, in the case of convex energy.

引用

页码：209 / 216

页数：8

共 8 条

[1] Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics [J].