Second-order two-scale asymptotic analysis for axisymmetric and spherical symmetric structure with periodic configurations

doi:10.1016/j.ijsolstr.2015.08.030

	Second-order two-scale asymptotic analysis for axisymmetric and spherical symmetric structure with periodic configurations
	Ma, Qiang 1,2; Cui, Junzhi3 ; Li, Zhihui 1,2
	2016
发表期刊	INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
ISSN	0020-7683
卷号	78-79 页码:77-100
摘要	A new second-order two-scale (SOTS) analysis finite element algorithm is developed for the axisymmetric and spherical symmetric elastic problems with small periodic configurations. The axisymmetric structure considered is periodic in both radial and axial directions and homogeneous in circumferential direction, and the spherical symmetric structure is only periodic in radial direction and homogeneous in other two directions. The SOTS asymptotic expansions for the space problem, plane axisymmetric problem, and spherical symmetric problem are presented, and the main feature is that the anisotropic material is obtained by the homogenization. The analytical expressions of the cell functions and homogenized solutions for plane axisymmetric and spherical symmetric problems are obtained, and the error estimations of the expansions are established. The second-order asymptotic analysis finite-element algorithm is presented and the numerical examples are solved including the hollow cylinder, rotating disk and hollow sphere composed of periodic composite materials. The computational results demonstrate the effectiveness and accuracy of the SOTS asymptotic analysis algorithm, and the converging behavior of the asymptotic analysis algorithm agrees well with the theoretical prediction. It is also indicated that the stress distributions can be correctly computed only by adding the second-order correctors. (C) 2015 Elsevier Ltd. All rights reserved.
关键词	Axisymmetric and spherical symmetric structure Linear elastic problem SOTS asymptotic analysis Homogenization method Finite element algorithm Error estimation
DOI	10.1016/j.ijsolstr.2015.08.030
语种	英语
资助项目	National Key Basic Research and Development Program[2014CB744100] ; National Nature Science Foundation of China[11325212] ; China Postdoctoral Science Foundation[2014M562616]
WOS研究方向	Mechanics
WOS类目	Mechanics
WOS记录号	WOS:000366883700008
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21568
专题	计算数学与科学工程计算研究所
通讯作者	Li, Zhihui
作者单位	1.China Aerodynam Res & Dev Ctr, Hyperveloc Aerodynam Inst, Mianyang 621000, Peoples R China 2.BUAA, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ma, Qiang,Cui, Junzhi,Li, Zhihui. Second-order two-scale asymptotic analysis for axisymmetric and spherical symmetric structure with periodic configurations[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,2016,78-79:77-100.
APA	Ma, Qiang,Cui, Junzhi,&Li, Zhihui.(2016).Second-order two-scale asymptotic analysis for axisymmetric and spherical symmetric structure with periodic configurations.INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,78-79,77-100.
MLA	Ma, Qiang,et al."Second-order two-scale asymptotic analysis for axisymmetric and spherical symmetric structure with periodic configurations".INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 78-79(2016):77-100.