题目：Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation
报告题目：Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation
报告摘要：In this talk, We consider 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 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 for 3-D original equations as well. Finally, the procedure of SOTS's method is given. In order to predict the effective parameters and the displacement and strains of composite plate, a set of numerical results are demonstrated. These show that SOTS's solution can capture the 3-D local behaviors caused by 3-D micro-structures well.