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含缺陷半无限条形体中热波多重散射与温度分布
引用本文:马晓波,谈和平.含缺陷半无限条形体中热波多重散射与温度分布[J].哈尔滨工业大学学报,2007,39(9):1453-1458.
作者姓名:马晓波  谈和平
作者单位:1. 哈尔滨工业大学,能源科学与工程学院,哈尔滨,150001;同济大学,机械工程学院,上海,200092
2. 哈尔滨工业大学,能源科学与工程学院,哈尔滨,150001
基金项目:国家自然科学基金 , 黑龙江省哈尔滨市青年科学基金
摘    要:基于双曲型热传导方程,采用复变函数方法,对含圆柱缺陷半无限条形体中的热波散射进行了研究.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,板条上下表面的边界条件是等于环境温度.分析计算了几何参量和物理参量对测试表面温度分布的影响,特别是热波波长对温度变化的影响,并给出了非透明体表面温度变化数值结果.研究成果为红外热波成像、物理反问题、内部缺陷评估等问题中的分析研究提供了理论基础和参考数据.

关 键 词:非Fourier导热  热波  多重散射  复变函数方法  亚表面缺陷
文章编号:0367-6234(2007)09-1453-06
修稿时间:2006-02-21

Thermal wave scattering from subsurface cylinders in the semi-infinite slab
MA Xiao-bo,TAN He-ping.Thermal wave scattering from subsurface cylinders in the semi-infinite slab[J].Journal of Harbin Institute of Technology,2007,39(9):1453-1458.
Authors:MA Xiao-bo  TAN He-ping
Affiliation:1. School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China ;2. School of Mechanical Engineering, Tongji University, Shanghai 200092, China
Abstract:Based on the hyperbolic equation of heat conduction,using the expansion method of complex functions,multiple scattering of thermal waves from subsurface cylinders in the semi-infinite slab was investigated.A general solution of the thermal wave scattering was given.The thermal waves were excited at surfaces of opaque materials by modulated optical beams.The effects of geometrical and physical parameters on the temperature distribution were analyzed.The circular cylinder was taken as a cavity with thermal insulation conditions.The theory and numerical results of this paper can be used for infrared thermal wave imaging,physical inverse problem and evaluation of internal defects in materials.
Keywords:non-Fourier's law  thermal wave  multiple scattering  method of complex functions  subsurface defect
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