缺陷漏磁场磁偶极子模型的若干解析解  

Analytical Solutions of Magnetic Dipole Model for Defect Leakage Magnetic Fields

作　　者：时朋朋[1,2] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071 [2]西部灾害与环境力学教育部重点实验室兰州大学,兰州730000

出　　处：《无损检测》2015年第3期1-7,共7页Nondestructive Testing

基　　金：国家自然科学基金资助项目(11472201);中央高校基本科研业务费专项资金资助项目(JB142001-2);兰州大学西部灾害与环境力学教育部重点实验室开发基金资助项目(Llmwde201406)

摘　　要：磁偶极子理论是成功解释缺陷漏磁场的模型之一。缺陷复杂形状直接影响其漏磁信号,目前研究却常将缺陷简化成矩型或环型凹槽。首先给出梯型凹槽漏磁信号的解析表达式,鉴于矩型、V型和组合型凹槽可看作梯型凹槽的变形或组合,获得其余凹槽漏磁信号的解析表达式。得到的矩形凹槽表达式和已有文献一致,梯型和组合型凹槽的表达式为首次获得,V型凹槽表达式与文献存在差异。通过同数值积分结果对比证实解析表达式的正确性。Magnetic dipole theory is one of the successful models for explaining the defect leakage magnetic fields.The complex shapes of defects are directly influencing the magnetic flux leakage signals,however,the defect is often simplified as a rectangular or a circular notch in the researches at present.The analytical expressions of the magnetic flux leakage signals for ladder notch are given in this paper firstly.The rectangle type,V type and combinational type notches can be regarded as the transformation and combination of ladder notch,then,their analytical expressions of the magnetic flux leakage signals are obtained.In this paper,the analytical expressions for rectangular notch agree well with the results of previous literatures,the analytical expressions for ladder type and combinational type notches are obtained for the first time,and the analytical expressions for V type notch are of a certain difference to the existing literature.The correctness of the expressions is verified by the comparisons of the present analytical expressions and the numerical integral results.

关 键 词：铁磁材料 缺陷 漏磁场 磁偶极子 解析解 

分 类 号：TG115.28[金属学及工艺—物理冶金]