TY - JOUR
T1 - Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Cylindrical Periodicity
AU - Dong , Hao
AU - Nie , Yufeng
AU - Cui , Junzhi
AU - Yang , Zihao
AU - Wang , Ziqiang
JO - International Journal of Numerical Analysis and Modeling
VL - 6
SP - 834
EP - 863
PY - 2018
DA - 2018/08
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/12611.html
KW - Dynamic thermo-mechanical problem, multiscale asymptotic analysis, composite structure, cylindrical periodicity, SOTS numerical algorithm.
AB - <p style="text-align: justify;">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.</p>