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Volume 15, Issue 6
Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Cylindrical Periodicity

Hao Dong, Yufeng Nie, Junzhi Cui, Zihao Yang & Ziqiang Wang

Int. J. Numer. Anal. Mod., 15 (2018), pp. 834-863.

Published online: 2018-08

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  • Abstract

In this paper, a novel second-order two-scale (SOTS) analysis method and corresponding numerical algorithm is developed for dynamic thermo-mechanical problems of composite structures with cylindrical periodicity. The formal SOTS solutions are successfully constructed by the multiscale asymptotic analysis. Then we theoretically explain the necessity of developing the SOTS solutions by the error analysis in the pointwise sense. Furthermore, the convergence result with an explicit rate for the SOTS solutions is obtained. In addition, a SOTS numerical algorithm is presented to effectively solve these multiscale problems. Finally, some numerical examples verify the feasibility and validity of the SOTS numerical algorithm we proposed. This study offers a unified multiscale framework that enables the simulation and analysis of thermo-mechanical coupled behavior of composite structures with cylindrical periodicity.

  • Keywords

Dynamic thermo-mechanical problem, multiscale asymptotic analysis, composite structure, cylindrical periodicity, SOTS numerical algorithm.

  • AMS Subject Headings

74A40, 74D05, 74S05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

donghao@mail.nwpu.edu.cn (Hao Dong)

yfnie@nwpu.edu.cn (Yufeng Nie)

cjz@lsec.cc.ac.cn (Junzhi Cui)

yangzihao@nwpu.edu.cn (Zihao Yang)

wangzq@lsec.cc.ac.cn (Ziqiang Wang)

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@Article{IJNAM-15-834, author = {Hao and Dong and donghao@mail.nwpu.edu.cn and 5839 and School of Mathematics and Statistics, Xidian University, Xi’an, China and Hao Dong and Yufeng and Nie and yfnie@nwpu.edu.cn and 5037 and Research Center for Computational Science, Northwestern Polytechnical University, Xi’an 710072, P.R. China and Yufeng Nie and Junzhi and Cui and cjz@lsec.cc.ac.cn and 5838 and Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, China and Junzhi Cui and Zihao and Yang and yangzihao@nwpu.edu.cn and 5835 and Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, China and Zihao Yang and Ziqiang and Wang and wangzq@lsec.cc.ac.cn and 7930 and School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China and Ziqiang Wang}, title = {Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Cylindrical Periodicity}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {15}, number = {6}, pages = {834--863}, abstract = {

In this paper, a novel second-order two-scale (SOTS) analysis method and corresponding numerical algorithm is developed for dynamic thermo-mechanical problems of composite structures with cylindrical periodicity. The formal SOTS solutions are successfully constructed by the multiscale asymptotic analysis. Then we theoretically explain the necessity of developing the SOTS solutions by the error analysis in the pointwise sense. Furthermore, the convergence result with an explicit rate for the SOTS solutions is obtained. In addition, a SOTS numerical algorithm is presented to effectively solve these multiscale problems. Finally, some numerical examples verify the feasibility and validity of the SOTS numerical algorithm we proposed. This study offers a unified multiscale framework that enables the simulation and analysis of thermo-mechanical coupled behavior of composite structures with cylindrical periodicity.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/12611.html} }
TY - JOUR T1 - Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Cylindrical Periodicity AU - Dong , Hao AU - Nie , Yufeng AU - Cui , Junzhi AU - Yang , Zihao AU - Wang , Ziqiang JO - International Journal of Numerical Analysis and Modeling VL - 6 SP - 834 EP - 863 PY - 2018 DA - 2018/08 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/12611.html KW - Dynamic thermo-mechanical problem, multiscale asymptotic analysis, composite structure, cylindrical periodicity, SOTS numerical algorithm. AB -

In this paper, a novel second-order two-scale (SOTS) analysis method and corresponding numerical algorithm is developed for dynamic thermo-mechanical problems of composite structures with cylindrical periodicity. The formal SOTS solutions are successfully constructed by the multiscale asymptotic analysis. Then we theoretically explain the necessity of developing the SOTS solutions by the error analysis in the pointwise sense. Furthermore, the convergence result with an explicit rate for the SOTS solutions is obtained. In addition, a SOTS numerical algorithm is presented to effectively solve these multiscale problems. Finally, some numerical examples verify the feasibility and validity of the SOTS numerical algorithm we proposed. This study offers a unified multiscale framework that enables the simulation and analysis of thermo-mechanical coupled behavior of composite structures with cylindrical periodicity.

Hao Dong, Yufeng Nie, Junzhi Cui, Zihao Yang & Ziqiang Wang. (2020). Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Cylindrical Periodicity. International Journal of Numerical Analysis and Modeling. 15 (6). 834-863. doi:
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