摘要
基于非傅里叶热传导方程,采用复变函数与保角映射方法,研究了半无限板条结构中任意形亚表面缺陷的热波的多重散射问题,给出了热波散射问题的一般解.温度波由调制光束在材料表面激发,缺陷表面的边界条件为绝热.分析了结构几何和物理参数对热波散射与温度分布的影响,并给出了温度变化的数值结果.分析方法和数值结果可为工程材料结构的热传导分析、热波成像、物理反问题和材料内部缺陷评估等提供理论基础和参考数据.
Based on non-Fourier equations of heat conduction,using the complex function and conformal mapping technique,multiple scattering of thermal waves by subsurface defects of arbitrary shape in the semi-infinite slab was investigated.A general solution of thermal wave scattering was given.The thermal waves are excited at surfaces of solid materials by modulated ultra-short laser pulse with a adiabatic boundary condition for defects.The effects of geometrical and physical parameters on the temperature distribution are analyzed.Meanwhile,the numerical results of temperature variation were demonstrated.The analytic method and numerical results can be used for analysis of heat conduction,thermal wave imaging,physical inverse problem and evaluation of internal defects in materials.
出处
《红外与毫米波学报》
SCIE
EI
CAS
CSCD
北大核心
2011年第3期242-245,275,共5页
Journal of Infrared and Millimeter Waves
基金
国家自然科学基金重点项目(50336010)
面上项目(20451057)
关键词
非傅里叶导热
任意形亚表面缺陷
热波散射与温度分布
超短激光脉冲
non-Fourier heat conduction
subsurface defect of arbitrary shape
scattering of thermal waves and temperature distribution
ultra-short laser pulse