报告人:崔俊芝,中国工程院士,中科院数学与系统科学研究院研究员
题 目:High-Order Three-Scales Formulation for Structural analysis with Multi-levels Small-scale Configurations
时 间:2016年11月11日下午16:00,
地 点:知新楼B-924
Abstract:
In this paper, the high-order three-scales (HOTS) formulations for structural analysis with two-levels small scales configurations is presented for periodicity and randomness, respectively. Compared with two-scale method, a basic cell with smaller scale is introduced to capture the mechanic behaviors of smaller scale configuration, and then obtain the more precise high-order three-scale solution. The expression of high-order three-scale solution is given, and contains the local feature of both meso-scopic & micro-scopic scales.
The local characteristic functions in the three-scale expression of solution are defined on meso-scopic and microscopic cell, respectively, and obtained by solving the correspondent local governing equations.
Finally, some numerical examples for the elastic problem for composite structure with two-levels small periodic configurations are demonstrated. The results show that the HOTS method presented is valid and effective.