Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures

doi:10.1016/j.cam.2009.08.004

	Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures
	Liu, Xiao-Qi 1; Cao, Li-Qun2 ; Zhu, Qi-Ding 3
	2009-12-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	233 期号:4 页码:905-921
摘要	In this paper, we consider the elastomechanical problems of a honeycomb structure of composite materials. A multiscale finite element method and the postprocessing technique with high accuracy are presented. We will derive the proofs of all theoretical results. Finally, some numerical tests validate the theoretical results of this paper. (C) 2009 Elsevier B.V. All rights reserved.
关键词	Homogenization Multiscale asymptotic method Elastic equations Honeycomb structure Multiscale finite element method
DOI	10.1016/j.cam.2009.08.004
语种	英语
资助项目	National Natural Science Foundation of China[90405016] ; Science Foundation of Central South University of Forestry and Technology[06Y048] ; Special Funds for Major State Basic Research Projects[2006CB605102]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000271796000004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7588
专题	计算数学与科学工程计算研究所
通讯作者	Liu, Xiao-Qi
作者单位	1.Cent S Univ Forestry & Technol, Inst Math & Phys, Changsha 410004, Peoples R China 2.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xiao-Qi,Cao, Li-Qun,Zhu, Qi-Ding. Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,233(4):905-921.
APA	Liu, Xiao-Qi,Cao, Li-Qun,&Zhu, Qi-Ding.(2009).Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,233(4),905-921.
MLA	Liu, Xiao-Qi,et al."Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 233.4(2009):905-921.