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Journal of Scientific Computing

Erschienen in:

10.01.2019

Multiscale Computational Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Diverse Periodic Configurations in Different Subdomains

verfasst von: Hao Dong, Xiaojing Zheng, Junzhi Cui, Yufeng Nie, Zhiqiang Yang, Zihao Yang

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2019

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Abstract

In this paper, a novel multiscale computational method is presented to simulate and analyze dynamic thermo-mechanical problems of composite structures with diverse periodic configurations in different subdomains. In these composite structures, thermo-mechanical coupled behaviors at microscale have an important impact on the macroscopic displacement and temperature fields. Firstly, the novel second-order two-scale (SOTS) solutions for these multiscale problems are successfully obtained based on multiscale asymptotic analysis. Then, the error analysis in the pointwise sense is given to illustrate the importance of developing the SOTS solutions. Furthermore, the error estimate for the SOTS approximate solutions in the integral sense is presented. In addition, a SOTS numerical algorithm is proposed to effectively solve these problems based on finite element method, finite difference method and decoupling method. Finally, some numerical examples are shown, which demonstrate the feasibility and effectiveness of the SOTS numerical algorithm we proposed. In this paper, a unified two-scale computational framework is established for dynamic thermo-mechanical problems of composite structures with diverse periodic configurations in different subdomains.

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Titel: Multiscale Computational Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Diverse Periodic Configurations in Different Subdomains
verfasst von: Hao Dong
Xiaojing Zheng
Junzhi Cui
Yufeng Nie
Zhiqiang Yang
Zihao Yang
Publikationsdatum: 10.01.2019
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 3/2019
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-018-00904-z

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