含圆柱夹杂功能梯度板条中的热波散射问题  

Thermal wave scattering in slabs of FGM with cylindrical subsurface inclusion

作　　者：马晓波[1] 姜欢琦 

机构地区：[1]同济大学机械与能源工程学院,上海201804

出　　处：《红外与毫米波学报》2016年第3期355-362,共8页Journal of Infrared and Millimeter Waves

基　　金：国家自然科学基金面上项目(51276129)~~

摘　　要：采用复变函数法和镜像法,研究了功能梯度板条结构中含圆柱亚表面夹杂的热波散射问题.基于双曲型热传导方程,求解了含圆柱亚表面夹杂板条中热波散射与温度场,并给出了温度场的一般解.温度波由调制光束在材料表面激发,板条上下表面的热边界条件为表面温度等于环境温度.分析了夹杂的几何参数和热物性参数对板条左表面温度的影响,如板条的宽度和非均匀参数对板条表面温度的影响.可望为功能梯度材料的红外热波无损检测提供计算方法和参考数据.Using the complex function and the image method,thermal wave scattering in the slab of functionally graded materials with a cylindrical subsurface inclusion was investigated. Based on the Non-Fourier's heat conduction equation,the temperature field in the slab of FGM with a cylindrical subsurface inclusion was analyzed. The analytical solution of the scattered field of thermal waves in the slab of FGM was obtained. The temperature wave is excited at the surface of FGM by the periodically modulated beam. The upper and lower temperatures are the environmental temperature. The influence of the geometrical and thermophysical parameters of the cylindrical inclusion on the temperature at the frontal surface of FGM was calculated. The results of this paper are expected to provide calculation methods and reference data for infrared thermal wave nondestructive testing of functionally graded materials.

关 键 词：复变函数与镜像方法 功能梯度材料板条 非傅里叶热传导方程 圆柱缺陷 热波无损检测 

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]