Second-order two-scale computational method for damped dynamic thermo-mechanical problems of quasi-periodic composite materials

作者：

Highlights：

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• The SOTS solutions are constructed by the multiscale asymptotic analysis.

• The importance of developing the SOTS solutions is theoretically explained.

• The convergence result with an explicit rate for the SOTS solutions is obtained.

• A SOTS numerical algorithm is proposed to solve these problems effectively.

摘要

•The SOTS solutions are constructed by the multiscale asymptotic analysis.•The importance of developing the SOTS solutions is theoretically explained.•The convergence result with an explicit rate for the SOTS solutions is obtained.•A SOTS numerical algorithm is proposed to solve these problems effectively.

论文关键词：Damped dynamic thermo-mechanical problems,Quasi-periodic composite materials,Convergence result,SOTS numerical algorithm

论文评审过程：Received 26 June 2016, Revised 29 March 2018, Available online 26 May 2018, Version of Record 26 May 2018.

论文官网地址：https://doi.org/10.1016/j.cam.2018.05.009