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以往对材料内缺陷热波散射问题的研究,多假定孔洞缺陷内无异质且边界条件为绝热的。异质体孔洞缺陷是工程中更为常见的情况。基于非Fourier热传导方程,采用波函数展开法,对含异质球形缺陷的半无限体内部的热波散射与温度分布进行了研究。给出了问题的解析解和数值计算结果。分析了缺陷物理参数和几何参数以及入射波波数等对材料表面温度分布的影响。结果表明:异质体的物理参数和几何参数等对材料表面温度的影响是显著的,主要影响因素包括无量纲导热系数,无量纲热扩散长度,无量纲埋藏深度等。
In the past, the problem of thermal wave scattering in defects in materials was mostly assumed that there were no heterogeneities in the hole defects and the boundary conditions were adiabatic. Heterogeneous body hole defects are more common in engineering. Based on the non - Fourier heat conduction equation, the wave function expansion method is used to study the thermal wave scattering and temperature distribution in the semi - infinite body with heterogeneous spherical defects. The analytical solution and numerical calculation of the problem are given. The effects of physical and geometrical parameters of defects and incident wave numbers on the surface temperature distribution were analyzed. The results show that the physical and geometric parameters of the heterogeneous body affect the surface temperature significantly. The main influencing factors include the dimensionless thermal conductivity, the dimensionless thermal diffusion length and the dimensionless depth of burial.