Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems in Periodic Structure

Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems in Periodic Structure

Year:    2015

International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2015-IJNAM-482

International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 1 : pp. 144–161

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

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