基于光热频谱检测技术的非均匀材料导热系数二维重构算法  

Two-dimensional reconstruction of thermal conductivity of inhomogeneous materials based on photothermal technique

作　　者：李云[1] 吕跃凯[1] 

机构地区：[1]天津师范大学物理与材料科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2016年第2期23-27,共5页Journal of Tianjin Normal University：Natural Science Edition

摘　　要：在材料热学参数深度剖面重构理论的基础上,建立了一种基于光热检测技术的材料参数分布重构算法,用于处理有关二维非均匀材料热学和光学参数的反问题,实现对存在损伤性裂纹或含有杂质的薄板状样品的无损检测与评价.同时,该算法也是处理三维不均匀固体材料物理参数重构的理论基础.通过模拟光热信号对算法进行数值模拟,结果表明:通过3次迭代,重构函数的形态与原始函数的形态吻合良好,这说明基于光热检测技术的反演方法在理论层面上可靠、有效,可用于处理二维板状非均匀固体样品的热学参数重构.Developed from the reconstruction theory of thermal conductivity depth profiles, a reconstruction theory of mate-rial parameters of the distribution based on photothermal detection technique was presented, which used to deal with two-dimensional inhomogeneous materials about thermal or optical parameter inverse problem, and made the nondestructive testing and evaluation for a sample with damage existence of crack or inclusion structures came true. Meanwhile, this method was the theoretical basis to reconstructing physical parameters of three-dimensional inhomogeneous solid state ma-terials. The numerical experiments on simulated photothermal signals show that the form of reconstruct function and origi-nal function are in good agreement, which illustrating that the reconstruction is reliable and effective on the level of theory,and can be used to refactoring the thermal parameters of two-dimensional inhomogeneous plate materials.

关 键 词：二维重构算法 光热频谱检测技术 非均匀材料 热传导方程 导热系数 光热频谱 反演 脉冲谱技术 

分 类 号：O411.3[理学—理论物理]