Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation

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	Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation
其他题名	Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation
	Wang ZiQiang 1; Cui JunZhi 2
	2014
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	57 期号:8 页码:1713-1732
摘要	This paper considers the bending behaviors of composite plate with 3-D periodic configuration. A second-order two-scale (SOTS) computational method is designed by means of construction way. First, by 3-D elastic composite plate model, the cell functions which are defined on the reference cell are constructed. Then the effective homogenization parameters of composites are calculated, and the homogenized plate problem on original domain is defined. Based on the Reissner-Mindlin deformation pattern, the homogenization solution is obtained. And then the SOTS's approximate solution is obtained by the cell functions and the homogenization solution. Second, the approximation of the SOTS's solution in energy norm is analyzed and the residual of SOTS's solution for 3-D original in the pointwise sense is investigated. Finally, the procedure of SOTS's method is given. A set of numerical results are demonstrated for predicting the effective parameters and the displacement and strains of composite plate. It shows that SOTS's method can capture the 3-D local behaviors caused by 3-D micro-structures well.
其他摘要	This paper considers the bending behaviors of composite plate with 3-D periodic configuration. A second-order two-scale (SOTS) computational method is designed by means of construction way. First, by 3-D elastic composite plate model, the cell functions which are defined on the reference cell are constructed. Then the effective homogenization parameters of composites are calculated, and the homogenized plate problem on original domain is defined. Based on the Reissner-Mindlin deformation pattern, the homogenization solution is obtained. And then the SOTS’s approximate solution is obtained by the cell functions and the homogenization solution. Second, the approximation of the SOTS’s solution in energy norm is analyzed and the residual of SOTS’s solution for 3-D original in the pointwise sense is investigated. Finally, the procedure of SOTS’s method is given. A set of numerical results are demonstrated for predicting the effective parameters and the displacement and strains of composite plate. It shows that SOTS’s method can capture the 3-D local behaviors caused by 3-D micro-structures well.
关键词	REISSNER-MINDLIN PLATE second-order two-scale computational method Reissner-Mindlin deformation pattern composite plate approximation analysis
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Special Funds for National Basic Research Program of China] ; [Foundation of Guizhou Science and Technology Department] ; [State Key Laboratory of Science and Engineering Computing]
CSCD记录号	CSCD:5198368
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55025
专题	中国科学院数学与系统科学研究院
作者单位	1.贵州民族大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Wang ZiQiang,Cui JunZhi. Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation[J]. SCIENCE CHINA-MATHEMATICS,2014,57(8):1713-1732.
APA	Wang ZiQiang,&Cui JunZhi.(2014).Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation.SCIENCE CHINA-MATHEMATICS,57(8),1713-1732.
MLA	Wang ZiQiang,et al."Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation".SCIENCE CHINA-MATHEMATICS 57.8(2014):1713-1732.