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 secondordertwoscalemethodforbendingbehavioranalysisofcompositeplatewith3dperiodicconfigurationanditsapproximation Wang Ziqiang1; Cui Junzhi2 2014 Source Publication sciencechinamathematics ISSN 1674-7283 Volume 57Issue:8Pages:1713 Abstract 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. Language 英语 Funding Project [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] Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/40793 Collection 计算数学与科学工程计算研究所 Affiliation 1.贵州民族大学2.中国科学院数学与系统科学研究院 Recommended CitationGB/T 7714 Wang Ziqiang,Cui Junzhi. secondordertwoscalemethodforbendingbehavioranalysisofcompositeplatewith3dperiodicconfigurationanditsapproximation[J]. sciencechinamathematics,2014,57(8):1713. APA Wang Ziqiang,&Cui Junzhi.(2014).secondordertwoscalemethodforbendingbehavioranalysisofcompositeplatewith3dperiodicconfigurationanditsapproximation.sciencechinamathematics,57(8),1713. MLA Wang Ziqiang,et al."secondordertwoscalemethodforbendingbehavioranalysisofcompositeplatewith3dperiodicconfigurationanditsapproximation".sciencechinamathematics 57.8(2014):1713.
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