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HIGHER ORDER TWO-SCALE FINITE ELEMENT ERROR ANALYSIS FOR THERMOELASTIC PROBLEM IN QUASI-PERIODIC PERFORATED STRUCTURE

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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… Click to show full 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: scale finite; finite element; two scale; higher order; order two; problem

Journal Title: International Journal of Modern Physics C
Year Published: 2017

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