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Multiscale Nonlinear Thermo-Mechanical Coupling Analysis of Composite Structures with Quasi-Periodic Properties

Zihao Yang1, Liang Ma2, Qiang Ma3, Junzhi Cui1,4, Yufeng Nie1, Hao Dong1, Xiaohong An5

Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China. E-mail:
State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China
College of mathematics, Sichuan University, Chengdu 610065, China
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
Department of Mathematics and Physics, Xi'an Technological University, Xi'an 710032, China

Computers, Materials & Continua 2017, 53(3), 219-248.


This paper reports a multiscale analysis method to predict the thermo-mechanical coupling performance of composite structures with quasi-periodic properties. In these material structures, the configurations are periodic and the material coefficients are quasi-periodic, i.e., they depend not only on the microscale information but also on the macro location. Also, a mutual interaction between displacement and temperature fields is considered in the problem, which is our particular interest in this study. The multiscale asymptotic expansions of the temperature and displacement fields are constructed and associated error estimation in nearly pointwise sense is presented. Then, a finite element-difference algorithm based on the multiscale analysis method is brought forward in detail. Finally, some numerical examples are given. And the numerical results show that the multiscale method presented in this paper is effective and reliable to study the nonlinear thermo-mechanical coupling problem of composite structures with quasi-periodic properties.


Cite This Article

Z. Yang, L. Ma, Q. Ma, J. Cui, Y. Nie et al., "Multiscale nonlinear thermo-mechanical coupling analysis of composite structures with quasi-periodic properties," Computers, Materials & Continua, vol. 53, no.3, pp. 219–248, 2017.


This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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