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| 1 | 功能梯度材料热传导的统计多尺度边界元分析显示文摘功能梯度材料是物理性能连续变化的非均匀复合材料,其结构特点消除了材料内部严重的热应力界面,在航空、航天及核反应堆等工程领域具有广阔的应用前景。针对功能梯度材料的稳态热传导问题,给出一种基于边界元模型的统计多尺度分析方法,并针对典型问题进行数值模拟。首先,在功能梯度材料微结构随机分布且体积分数随着位置变化的表征基础上,建立等效热传导系数的多尺度边界元分析模型;然后,给出统计意义下的数值计算方法;最后,研究颗粒随机分布功能梯度材料的热传导性能,并通过与实验结果对比对算法进行验证。结果表明:统计多尺度边界元方法对于预测功能梯度材料的热传导性能是有效的。 | 黄志强 韩要闯 聂玉峰 | 2018 | 航空工程进展2018，9，2： | 1 |
| 2 | Statistical Multiscale Analysis of Transient Conduction and Radiation Heat Transfer Problem in Random Inhomogeneous Porous Materials显示文摘This paper is devoted to the homogenization and statistical multiscale analysis of a transient heat conduction problem in random porous materials with a nonlinear radiation boundary condition.A novel statistical multiscale analysis method based on the two-scale asymptotic expansion is proposed.In the statistical multiscale formulations,a unified linear homogenization procedure is established and the second-order correctors are introduced for modeling the nonlinear radiative heat transfer in random perforations,which are our main contributions.Besides,a numerical algorithm based on the statistical multiscale method is given in details.Numerical results prove the accuracy and efficiency of our method for multiscale simulation of transient nonlinear conduction and radiation heat transfer problem in random porous materials. | Yiqiang Li Liang Ma Zhiqiang Yang Xiaofei Guan Yufeng Nie Zihao Yang | 2018 | Computer Modeling in Engineering & Sciences2018，，4： | 0 |
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