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

题目：Second-order two-scale method for bending behavior analysis of composite plate with

3-D periodic configuration and its approximation

报告人：王自强贵州民族大学理学院

时间：11月14日（星期三）15:00—16:00

地点：长江中心409

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.