断裂韧性判据Irwin准则与coulomb准则的内在联系

Intrinsic relation between fracture toughness criterion, Irwin criterion and Coulomb criterion

两种不同的准则,一个是从单一裂纹出发,一个是从宏观破坏角度出发,能够共同描述和判断岩石的破坏。Coulomb准则本来是描述岩石剪切破坏时大量微裂纹行为共同作用的统计结果,而断裂韧性判据Irwin准则是解析地描述单一裂纹行为。分别从断裂韧性判据Irwin准则和Coulomb准则的定义出发,理论推导了他们之间存在的内在联系,结果表明,两个准则的方法和观察角度不同,而得到的破裂角度却相同,这是具有深刻物理意义的。

Two different criteria,one of which is from the view of single crack,and the other is from the view of macro-destruction,can be used together to describe and judge the damage of rocks： Coulomb criterion describes the statistical data about the co-action of a large quantity of micro-cracks under the shear failure of rocks;while the fracture toughness criteria,Irwin criterion,describes the single crack behavior analytically.Based on the definitions of the fracture toughness criterion,Irwin criterion and Coulomb criterion, the intrinsic relation between them is derived. The results show that both criteria are consistent very well.