Multiscale Computation and Convergence for Coupled Thermoelastic System in Composite Materials
Multiscale Computation and Convergence for Coupled Thermoelastic System in Composite Materials
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DOI：
10.1137/14098291x
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发表时间：
2015-05
期刊：
影响因子：
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通讯作者：
Xin Wang;Li-qun Cao;Y. Wong
中科院分区：
文献类型：
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作者：
Xin Wang;Li-qun Cao;Y. Wong
本文讨论了具有周期性微结构的复合材料线性时变热弹性方程的多尺度计算。在这项研究中提出的新的贡献是制定的校正项和强收敛结果与显式速度的二阶多尺度解。通过应用拉普拉斯变换，发展了静态耦合热弹性系统的多尺度方法。数值结果表明，该方法在求解三维复合材料动态热弹性问题时具有明显的优势。此外，该方法非常适合于并行计算。
This paper discusses the multiscale computation for linear time-dependent thermoelastic equations in composite materials with a periodic microstructure. The new contributions presented in this study are the formulation of the correction terms and the strong convergence result with an explicit rate for the second-order multiscale solutions. By application of the Laplace transform, the multiscale method is developed for the static coupled thermoelastic system instead of the original time-dependent equations. Numerical results are reported to demonstrate that the proposed method has a competitive advantage for solving the dynamic thermoelastic system in three-dimensional composite materials. Moreover, the method is highly suitable for parallel computation.