功能梯度材料中亚表面圆柱缺陷的热波散射问题研究  

Multiple scattering of thermal waves by subsurface cylinders in functionally graded materials

作　　者：王飞[1] 马晓波[1] 李志永[2] 

机构地区：[1]同济大学机械与能源工程学院,上海201804 [2]北京动力机械研究所,北京100074

出　　处：《功能材料》2014年第15期15089-15092,15095,共5页Journal of Functional Materials

基　　金：国家自然科学基金面上资助项目(51276129);高超声速发动机重点实验室开放基金资助项目(20120103006)

摘　　要：基于非傅里叶导热定律,采用镜像法和波函数展开法,研究了半无限功能梯度材料中亚表面圆柱缺陷的热波散射问题。根据热波模型,分析了几何结构参数和物理参数对物体表面温度分布的影响。温度波由调制超短激光脉冲在非透明功能梯度材料表面激发,圆柱缺陷表面的边界条件为绝热。计算结果可望在功能梯度材料的红外热波无损检测中得到应用和为导热反问题提供基础和参考数据。In this paper,based on non-Fourier heat conduction equation,employing the image method and the wave function expansion method,the multiple scattering of thermal waves resulting from a subsurface cylinder in semi-infinite functionally graded materials was investigated.According to the wave equation of heat conduc-tion,the effects of different physical parameters on the distribution of temperature were analyzed.The thermal waves are excited on the surface of opaque materials by modulated ultrashort pulse laser.The cylindrical defect was taken as a cylindrical cavity under thermal insulation condition.The results of this paper can provide theo-retical foundations and references for the detection of defects by using laser heating,the inverse problem,and the analysis and computation of infrared thermal imaging.

关 键 词：功能梯度材料 非傅里叶导热 热波散射 亚表面圆柱缺陷 

分 类 号：TK124[动力工程及工程热物理—工程热物理] TN247[动力工程及工程热物理—热能工程]