采用一种时间-空间多尺度高阶渐近均匀化分析方法,模拟了热冲击载荷条件下多维微尺度多相周期性结构中的非经典热传导问题.通过引入放大空间尺度和缩小时间尺度,在不同时间尺度上获得由空间非均匀性引起的波动效应和非局部效应.根据高阶均匀化理论在空间和时间上进行均匀化,消去缩小时间尺度,确定各阶等效均匀化热传导系数的关系并对该系数进行数值求解,获得了多维非傅里叶热传导高阶非局部温度场控制方程.进而对二维周期性多相材料中的非傅里叶热传导问题进行分析,结果证明了本文中所提出的多维非傅里叶热传导高阶非局部模型的正确性与有效性.
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