小范围屈服条件下裂尖塑性区统一解

UNIFIED SOLUTIONS OF CRACK TIP PLASTIC ZONE UNDER SMALL SCALE YIELDING

采用俞茂宏双剪统一屈服准则求解了Ⅰ、Ⅱ、Ⅲ型裂纹在小范围屈服条件下的塑性区形状与大小的统一解答。已有的Ｔｒｅｓｃａ准则、Ｍｉｓｅｓ准则的解答均是该解答的特例或线性逼近，该解答可以适合于多种工程材料，具有普遍性和适用性，从得出的解析解和图形分析中可以得出一些新的结论。

Based on M.H.Yu unified criterion,the unified solutions to the shapes and sizes of mode Ⅰ,Ⅱ,Ⅲ crack tip plastic zone under small scale yielding(S.S.Y.)are obtained.The former solutions to this problem by Tresca criterion and Von Mises criterion are only the special cases or linear proximity.The solutions offered has universal applications to different kinds of materials.From the analysis solutions and diagrams,some new conclusions could be obtained.