Volume 12, Issue 1
Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems in Periodic Structure

Int. J. Numer. Anal. Mod., 12 (2015), pp. 144-161.

Published online: 2015-12

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• Abstract

In this paper, we develop the second-order two-scale (SOTS) analysis method and numerical algorithm for dynamic thermo-mechanical problems of composite materials with 3-D periodic configuration. In the problem considered, there exists a mutual interaction between the displacement and temperature fields. By the asymptotic expansion of temperature and displacement fields, the cell problems, effective thermal and mechanical parameters, homogenized equations and SOTS formulas of temperatures and displacements are obtained. The numerical algorithm based on the SOTS method is given. Finally, some numerical examples are shown. The numerical results show that the SOTS method is feasible and valid to predict the dynamic thermo-mechanical behaviors of periodic composite materials.

• Keywords

Composites with 3-D periodic configuration, dynamic thermo-mechanical problems, the SOTS analysis method, numerical algorithm.

35R35, 49J40, 60G40

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@Article{IJNAM-12-144, author = {}, title = {Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems in Periodic Structure}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2015}, volume = {12}, number = {1}, pages = {144--161}, abstract = {

In this paper, we develop the second-order two-scale (SOTS) analysis method and numerical algorithm for dynamic thermo-mechanical problems of composite materials with 3-D periodic configuration. In the problem considered, there exists a mutual interaction between the displacement and temperature fields. By the asymptotic expansion of temperature and displacement fields, the cell problems, effective thermal and mechanical parameters, homogenized equations and SOTS formulas of temperatures and displacements are obtained. The numerical algorithm based on the SOTS method is given. Finally, some numerical examples are shown. The numerical results show that the SOTS method is feasible and valid to predict the dynamic thermo-mechanical behaviors of periodic composite materials.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/482.html} }
TY - JOUR T1 - Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems in Periodic Structure JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 144 EP - 161 PY - 2015 DA - 2015/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/482.html KW - Composites with 3-D periodic configuration, dynamic thermo-mechanical problems, the SOTS analysis method, numerical algorithm. AB -

In this paper, we develop the second-order two-scale (SOTS) analysis method and numerical algorithm for dynamic thermo-mechanical problems of composite materials with 3-D periodic configuration. In the problem considered, there exists a mutual interaction between the displacement and temperature fields. By the asymptotic expansion of temperature and displacement fields, the cell problems, effective thermal and mechanical parameters, homogenized equations and SOTS formulas of temperatures and displacements are obtained. The numerical algorithm based on the SOTS method is given. Finally, some numerical examples are shown. The numerical results show that the SOTS method is feasible and valid to predict the dynamic thermo-mechanical behaviors of periodic composite materials.

Zihao Yang, Junzhi Cui, Yatao Wu, Ziqiang Wang & Jianjun Wan. (1970). Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems in Periodic Structure. International Journal of Numerical Analysis and Modeling. 12 (1). 144-161. doi:
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