Higher order two-scale finite element error analysis for thermoelastic problem in quasi-periodic perforated structure

Mingxiang Deng and Yongping Feng ()
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Mingxiang Deng: School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, P. R. China
Yongping Feng: School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, P. R. China

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 07, 1-20

Abstract: In this paper, one new coupled higher order two-scale finite element method (TSFEM) for thermoelastic problem in composites is proposed. Firstly, some new two-scale asymptotic expressions and homogenization formulations for the problem are briefly given. Next, some high–low coupled approximate errors corresponding to TSFEM are analyzed. Finally, some numerical results of the displacement and the increment of temperature are presented, which show that TSFEM is an effective method for predicting the mechanical and the thermal behavior of composites in quasi-periodic perforated structure.

Keywords: Two-scale method; thermoelasticity; quasi-periodic perforated structure; finite element method (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117500978

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