功能梯度材料中亚表面圆柱缺陷的热波散射问题研究*

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.