Cauchy-Born rule and the stability of crystalline solids: Dynamic problems

	Cauchy-Born rule and the stability of crystalline solids: Dynamic problems
	E, Wei-nan 1,2; Ming, Ping-bing3
	2007
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	23 期号:4 页码:529-550
摘要	We study continuum and atomistic models for the elastodynamics of crystalline solids at zero temperature. We establish sharp criterion for the regime of validity of the nonlinear elastic wave equations derived from the well-known Cauchy-Born rule.
关键词	crystal elasticity Cauchy-Born rule stability of crystals
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000255158800001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4656
专题	计算数学与科学工程计算研究所
通讯作者	E, Wei-nan
作者单位	1.Princeton Univ, Dept Math, Princeton, NJ 08544 USA 2.Princeton Univ, PACM, Princeton, NJ 08544 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	E, Wei-nan,Ming, Ping-bing. Cauchy-Born rule and the stability of crystalline solids: Dynamic problems[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2007,23(4):529-550.
APA	E, Wei-nan,&Ming, Ping-bing.(2007).Cauchy-Born rule and the stability of crystalline solids: Dynamic problems.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,23(4),529-550.
MLA	E, Wei-nan,et al."Cauchy-Born rule and the stability of crystalline solids: Dynamic problems".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 23.4(2007):529-550.