The statistical second-order two-scale method for mechanical properties of statistically inhomogeneous materials

doi:10.1002/nme.2928

	The statistical second-order two-scale method for mechanical properties of statistically inhomogeneous materials
	Han, Fei 1; Cui, Junzhi1,2 ; Yu, Yan 1
	2010-11-19
发表期刊	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN	0029-5981
卷号	84 期号:8 页码:972-988
摘要	A class of random composite materials with statistically inhomogeneous microstructure, for example, functionally graded materials is considered in this paper. The microstructures inside a component are gradually varying in the statistical sense. In view of this particularity, a novel statistical second-order two-scale (SSOTS) method is presented to predict the mechanical properties, including stiffness, and elastic limit. To develop this method, the microstructures of statistically homogeneous, and inhomogeneous materials are represented. In addition the SSOTS formulas are derived based on normalized cell depending on the position variables by a constructing way, and the algorithm procedure is described. The mechanical properties of the different inhomogeneous materials are evaluated. The numerical results are compared with the experimental findings. It shows that the SSTOS method is effective. Copyright (C) 2010 John Wiley & Sons, Ltd.
关键词	multi-scale statistically inhomogeneous materials mechanical properties homogenization
DOI	10.1002/nme.2928
语种	英语
资助项目	National Basic Research Program of China[2010CB832702] ; National Natural Science Foundation of China[90916027] ; State Key Laboratory of Science and Engineering Computing, and the Center for High Performance Computing, Northwestern Polytechnical University in China
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000284175800004
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10898
专题	计算数学与科学工程计算研究所
通讯作者	Han, Fei
作者单位	1.NW Polytech Univ, Dept Appl Math, Xian 710129, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Han, Fei,Cui, Junzhi,Yu, Yan. The statistical second-order two-scale method for mechanical properties of statistically inhomogeneous materials[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2010,84(8):972-988.
APA	Han, Fei,Cui, Junzhi,&Yu, Yan.(2010).The statistical second-order two-scale method for mechanical properties of statistically inhomogeneous materials.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,84(8),972-988.
MLA	Han, Fei,et al."The statistical second-order two-scale method for mechanical properties of statistically inhomogeneous materials".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 84.8(2010):972-988.