The butterfly plastic zone theory based on Mohr Coulomb criterion has been widely used in coal mine production. In order to verify the universality of the theory, it is necessary to compare the distribution of plastic zone under different strength criteria. Based on the elastic-plastic mechanics, the principal stress distribution function around the circular tunnel is deduced in the paper, and the boundary and radius of the plastic zone under different strength criteria are calculated. The results show that the change laws of the plastic zone around the circular tunnel under different strength criteria has the following commonness: firstly, with the increase of the lateral pressure coefficient, the shape of the plastic zone presents the change laws of “circle ellipse butterfly”; Secondly, with the increase of the lateral pressure coefficient, the radius of the plastic zone is exponential distribution, while the characteristic value is different when the radius of the plastic zone is infinite. At same time, it shows that the butterfly plastic zone has a low sensitivity dependence on the strength criterion, no matter which strength criterion is adopted, and the butterfly plastic zone will inevitably appear in the surrounding rock mass of circular tunnel in the high deviator stress environment; The plastic zone with butterfly shape is highly sensitive to the stress change, and the small stress change may promote the expansion of the plastic zone. This result is significant for us to understand and prevent rock engineering disasters and accidents.

基于莫尔库仑准则的蝶形塑性区理论已被广泛应用于煤矿生产中。为了验证该理论的普遍性，有必要比较不同强度标准下塑性区的分布。基于弹塑性力学，推导了圆形隧道周围的主应力分布函数，并计算了不同强度准则下塑性区的边界和半径。结果表明，圆形隧道周围塑性区在不同强度准则下的变化规律具有以下共性：首先，随着侧向压力系数的增大，塑性区的形状呈现出“圆形椭圆蝶形”的变化规律。 ”；其次，随着侧压力系数的增加，塑性区的半径是指数分布，而当塑性区的半径是无限时，特征值是不同的。同时表明，无论采用哪种强度判据，蝶形塑性区对敏感性的依赖性均较低，在偏斜应力较大的情况下，环形塑性隧道不可避免地会出现蝶形塑性区。环境; 蝴蝶形状的塑性区对应力变化高度敏感，小的应力变化可能会促进塑性区的膨胀。这一结果对于我们理解和预防岩石工程灾难和事故具有重要意义。当塑性区域的半径无限大时，特性值会有所不同。同时表明，无论采用哪种强度判据，蝶形塑性区对敏感性的依赖性均较低，在偏斜应力较大的情况下，环形塑性隧道不可避免地会出现蝶形塑性区。环境; 蝴蝶形状的塑性区对应力变化高度敏感，小的应力变化可能会促进塑性区的膨胀。这一结果对我们理解和预防岩石工程灾难和事故具有重要意义。当塑性区域的半径无限大时，特性值会有所不同。同时表明，无论采用哪种强度判据，蝶形塑性区对敏感性的依赖性均较低，在偏斜应力较大的情况下，环形塑性隧道不可避免地会出现蝶形塑性区。环境; 蝴蝶形状的塑性区对应力变化高度敏感，小的应力变化可能会促进塑性区的膨胀。这一结果对我们理解和预防岩石工程灾难和事故具有重要意义。高偏应力环境下​​，圆形隧道围岩不可避免地会出现蝴蝶塑性区。蝴蝶形状的塑性区对应力变化高度敏感，小的应力变化可能会促进塑性区的膨胀。这一结果对我们理解和预防岩石工程灾难和事故具有重要意义。高偏应力环境下​​，圆形隧道围岩不可避免地会出现蝴蝶塑性区。蝴蝶形状的塑性区对应力变化高度敏感，小的应力变化可能会促进塑性区的膨胀。这一结果对我们理解和预防岩石工程灾难和事故具有重要意义。