Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity

被引：11
作者：
Dong, Hao [1 ]
Cui, Junzhi [2 ]
Nie, Yufeng [1 ]
Yang, Zihao [1 ]
机构：
[1] Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
来源：
COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2017年 / 21卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Second-order two-scale; nonlinear dynamic thermo-mechanical problems; temperature-dependent properties; cylindrical periodicity; MULTISCALE ASYMPTOTIC-EXPANSION; RADIATION BOUNDARY-CONDITION; HEAT-CONDUCTION PROBLEM; HOMOGENIZATION; EQUATION;
D O I：
10.4208/cicp.OA-2016-0135
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a novel second-order two-scale (SOTS) computational method is developed for nonlinear dynamic thermo-mechanical problems of composites with cylindrical periodicity. The non-linearities of these multi-scale problems were caused by the temperature-dependent properties of the composites. Firstly, the formal SOTS solutions for these problems are constructed by the multiscale asymptotic analysis. Then we theoretically explain the importance of the SOTS solutions by the error analysis in the pointwise sense. In addition, a SOTS numerical algorithm is proposed in detail to effectively solve these problems. Finally, some numerical examples verify the feasibility and effectiveness of the SOTS numerical algorithm we proposed.
引用
收藏
页码：1173 / 1206
页数：34
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