构造复势函数求解含裂纹载流薄板电流密度分布  

Complex Potential Function Is Constructed to Find the Solution of the Distribution of Electric Current Density in the Thin Conductive Plate with a Crack

作　　者：常福清[1] 张晖辉[1] 原洪海[1] 白象忠[1] 

机构地区：[1]燕山大学建筑工程与力学学院,河北秦皇岛066004

出　　处：《科技通报》2003年第4期309-311,315,共4页Bulletin of Science and Technology

基　　金：国家自然科学基金(19772046);河北省自然科学基金(599255)资助项目

摘　　要：构造出一种适用于求解带有圆形孔洞的载流薄板电流密度分布的势函数,利用这种势函数以及保角映射方法,求解了带有裂纹的载流薄板的电流密度分布.计算结果显示裂纹尖端附近有很强的电流集中现象,从而为研究裂纹尖端电热效应提供了一种简单有效的新方法.A potential function is constructed to analyze the distribution of electric current density in the thin conductive plate with a circular hole, by using this potential function and the conformal mapping technique, a rigorous and practical method is developed to obtain the distribution of electric current density in the thin conductive plate with a crack. Numerical results show the strong concentration of current density around the crack tip, it provides the simple and effective method for studying the electric heat effect around the crack tip.

关 键 词：理论物理学 势函数 电流密度 裂纹 

分 类 号：O346.1[理学—固体力学]