Second-Order Two-Scale Analysis Method for the Quasi-Periodic Structure of Composite Materials under Condition of Coupled Thermo-Elasticity
Second-Order Two-Scale Analysis Method for the Quasi-Periodic Structure of Composite Materials under Condition of Coupled Thermo-Elasticity
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DOI：
10.4028/www.scientific.net/amr.629.160
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发表时间：
2012-12
期刊：
影响因子：
--
通讯作者：
Q. Ma;J. Cui
中科院分区：
文献类型：
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作者：
Q. Ma;J. Cui
本文正式推导了复合材料准周期结构在耦合热弹性条件下温度增量和位移增量的二阶双尺度渐近展开式。渐近模型的特点是宏观尺度和微观尺度的耦合。包括不同的系数的数值例子说明了计算策略的效率和稳定性。结果表明，对第二项的展开对于精确地获得热行为和力学行为是必要的，温度增量和位移增量的局部和全局振荡分别取决于系数的微观和宏观部分。
The second-order two-scale asymptotic expansions of the increment of temperature and the displacement for the quasi-periodic structure of composite materials under coupled thermo-elasticity condition are derived formally in this paper. The characteristic of the asymptotic model is the coupling between macroscopic scale and microscopic scale. Numerical examples including different coefficients are presented illustrating the efficiency and stability of the computational strategy. They show that the expansions to the second terms are necessary to obtain the thermal and mechanical behavior precisely, and the local and global oscillation of the increment of temperature and displacement are dependent on the microscopic and macroscopic part of the coefficients respectively.