TY - JOUR
T1 - Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity
JO - Communications in Computational Physics
VL - 4
SP - 1173
EP - 1206
PY - 2018
DA - 2018/04
SN - 21
DO - http://doi.org/10.4208/cicp.OA-2016-0135
UR - https://global-sci.org/intro/article_detail/cicp/11276.html
KW - 
AB - <p style="text-align: justify;">In this paper, a novel second-order two-scale (SOTS) computational method
is developed for nonlinear dynamic thermo-mechanical problems of composites with
cylindrical periodicity. The nonlinearities of these multi-scale problems were caused
by the temperature-dependent properties of the composites. Firstly, the formal SOTS
solutions for these problems are constructed by the multiscale asymptotic analysis.
Then we theoretically explain the importance of the SOTS solutions by the error analysis
in the pointwise sense. In addition, a SOTS numerical algorithm is proposed in
detail to effectively solve these problems. Finally, some numerical examples verify the
feasibility and effectiveness of the SOTS numerical algorithm we proposed.</p>