复合材料板热传导问题的二阶双尺度算法

给出了具有三维周期结构的复合材料板热传导问题的二阶双尺度算法。首先,从三维的复合材料板模型出发定义局部单胞函数。根据得到的局部单胞函数计算出等效的均匀化参数,进而得到均匀化方程。其次,利用温度的积分投影近似求解均匀化方程的均匀化解。最后,利用均匀化解和局部单胞函数构造出复合材料板热传导问题的二阶双尺度近似解。

Second-Order Two-Scale Algorithm for Heat Transfer Problems of Composite Plate with 3-D Periodic Configuration

The heat transfer problems of composite plate with 3-D periodic configuration were given in this paper by a second-order two-scale （SOTS） computational method. First, starting from 3-D composite plate model, the cell functions were defined on the reference cell. Then the effective homogenization parameters of composites were calcu- lated, and the homogenized plate problem on original domain was gained. Second, based on the integral projection operator of temperature, the homogenization solution was obtained. Finally, the approximate solution of the SOTS was got by the cell functions and the homogenization solution.