带有两个共线裂纹载流薄板温度场的复变函数解

Temperature Field in Current-Carrying Plate with More Than One Collinear Penetrated Cracks

采用复变函数方法对带有两个共线穿透裂纹的导电薄板 ,在瞬间电流作用下的温度场进行了计算。针对带有两个共线裂纹或夹杂的载流薄板形成了边值问题 ,给出封闭形式的解 ,得到了电流在裂纹尖端的奇异特征。在形成了点热源的基础上 ,导出裂纹尖端附近区域的温度场表达式 。

In this paper, the temperature field in an current-c ar rying plate with more than one collinear penetrated cracks under the action of t ransient pulse current was calculated by using complex function methods. consid ering to the plane with more than one collinear cracks, the boundary value probl em was formed an d the analytical closed form solution of given. Singularity cha racter of the cur rent around the crack tip was obtained, and the point heat sou rce was formed, so was that the temperature field around crack tip was educed. It was the basis of defining the stress field around the crack tip.