Zihao Yang1, Liang Ma2, Qiang Ma3, Junzhi Cui1,4, Yufeng Nie1, Hao Dong1, Xiaohong An5
CMC-Computers, Materials & Continua, Vol.53, No.3, pp. 219-248, 2017, DOI:10.32604/cmc.2017.053.235
Abstract 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 More >