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High-Order Three-Scales Formulation for Structural analysis with Multi-levels Small-scale Configurations

作者:   时间:2016-11-08   点击数:

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

 目:High-Order Three-Scales Formulation for Structural analysis with Multi-levels Small-scale Configurations

 间:20161111日下午1600

 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.

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