椭圆裂纹张开位移权函数法

Weighted Function Method for a Crack Opening Displacement of an Elliptical Crack

通过推得的承受椭圆对称载荷作用下的无限大体椭圆裂纹权函数 ,利用弹塑性断裂力学的D -M模型 ,得到了权函数法计算其裂纹张开位移COD一般形式 ,并证明了其表达式的正确性 .应用这种承受椭圆对称载荷无限大体椭圆裂纹D -M模型裂纹张开位移COD的一般形式 ,计算了满足计算条件的 5种载荷情况椭圆裂纹的张开位移COD ,这些结果以前在任何应力强度因子手册中从未被给出过 ,可备工程上选择应用 .

Weighted function is obtained for an elliptical crack subjected to an elliptical symmetrical load in an infinite solid. According to the D-M model, the common formula of a crack opening displacement COD for an elliptical crack stretched to an elliptical symmetrical load in an infinite solid is derived by using the weighted function method. And correctness of the common formula of a crack opening displacement COD is proved. The formulas of COD of five loading cases are obitained by using one. These results have never be given in any strength factor manual before. The given results are very useful in engineering, and the method presented is very simple.