Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Cylindrical Periodicity

Authors

  • Hao Dong School of Mathematics and Statistics, Xidian University, Xi’an, China
  • Yufeng Nie Research Center for Computational Science, Northwestern Polytechnical University, Xi’an 710072, P.R. China
  • Junzhi Cui Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, China
  • Zihao Yang Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, China
  • Ziqiang Wang School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China

Keywords:

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

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.

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Published

2018-08-15

Issue

Vol. 15 No. 6 (2018)

Section

Articles