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Volume 21, Issue 4
Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity

Hao Dong, Junzhi Cui, Yufeng Nie & Zihao Yang

DOI: 10.4208/cicp.OA-2016-0135

Commun. Comput. Phys., 21 (2017), pp. 1173-1206.

Published online: 2018-04

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  • Abstract

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 nonlinearities 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.

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@Article{CiCP-21-1173, author = {Hao Dong, Junzhi Cui, Yufeng Nie and Zihao Yang}, title = {Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity}, journal = {Communications in Computational Physics}, year = {2018}, volume = {21}, number = {4}, pages = {1173--1206}, abstract = {

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 nonlinearities 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0135}, url = {http://global-sci.org/intro/article_detail/cicp/11276.html} }
TY - JOUR T1 - Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity AU - Hao Dong, Junzhi Cui, Yufeng Nie & Zihao Yang JO - Communications in Computational Physics VL - 4 SP - 1173 EP - 1206 PY - 2018 DA - 2018/04 SN - 21 DO - http://doi.org/10.4208/cicp.OA-2016-0135 UR - https://global-sci.org/intro/article_detail/cicp/11276.html KW - AB -

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 nonlinearities 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.

Hao Dong, Junzhi Cui, Yufeng Nie and Zihao Yang. (2018). Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity. Communications in Computational Physics. 21 (4). 1173-1206. doi:10.4208/cicp.OA-2016-0135
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