理想塑性材料中椭圆孔附近的塑性滑移线场解

Solutions for the Plastic Slip Line Fields Around Elliptical Holes in Perfectly Plastic Materials

目的 研究理想塑性材料中微孔洞间产生内颈缩的必要条件； 方法 采用Ｒｉｅｍ ａｎｎ 解析积分方法并结合滑移线场上的Ｈｅｎｃｋｙ 方程，研究并获得了椭圆孔附近的平面塑性流动Ｃａｕｃｈｙ 问题的滑移线场解答； 结果与结论 通过数值计算，给出了椭圆孔附近一些特定直线上的静水压力分布，并与已有结果作了比较，二者吻合很好； 结果对研究低应力三轴度条件下韧性材料的破坏机理具有重要的参考价值；

Aim To study the necessary condition for the occurrence of an internal necking in microvoids in perfectly plastic materials. Methods By means of Riemann's analytical integration and Henck's equation on the slip line fields, the solutions of the Cauchy problem for the plastic slip line fields around elliptical holes in plastic materials were studied and obtained. Results and Conclusion The stress distributions along some particular straight lines around elliptical holes is given by numerical calculation. The results will provide a valuable information in studying the fracture mechanism of ductile materials under conditions of low stress triaxiality.