Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation
文献类型：期刊论文
| 作者 | Wang ZiQiang2; Cui JunZhi1 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2014 |
| 卷号 | 57期号:8页码:1713-1732 |
| 关键词 | REISSNER-MINDLIN PLATE second-order two-scale computational method Reissner-Mindlin deformation pattern composite plate approximation analysis |
| ISSN号 | 1674-7283 |
| 其他题名 | Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation |
| 英文摘要 | 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. |
| 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] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5198368 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/55024]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.贵州民族大学 |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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