It is known that a local deformation mode affects the fracture behavior. First, a parameter that represents the deformation mode is defined for a fracture criterion that can consider the deformation mode in ordinary state-based peridynamics. This parameter is analogous to stress triaxiality in conventional continuum mechanics. The calculated values of the parameter agree well with the theoretical values under uniaxial compression, pure shear, uniaxial tension, and equi-biaxial tension. Then, modified fracture strain by a function using the parameter is proposed as a fracture criterion. The intended fracture strains of uniaxial tensioned cubes and those of equi-biaxial tensioned cubes were well reproduced by calculations with the criterion. Further, the intended ratio of fracture strain of a uniaxial tensioned round bar to that of an equi-biaxial tensioned thin plate was reproduced by calculations with the criterion. In a pipe bending simulation, the crack propagation behavior was reproduced by the proposed criterion.

众所周知，局部变形模式会影响断裂行为。首先，为断裂准则定义代表变形模式的参数，该断裂准则可以在基于普通状态的周边动力学中考虑变形模式。该参数类似于常规连续体力学中的应力三轴性。该参数的计算值与单轴压缩，纯剪切，单轴张力和等双轴张力下的理论值非常吻合。然后，提出了通过使用参数的函数修正的断裂应变作为断裂判据。通过使用该准则进行计算，可以很好地再现单轴张紧立方体和等双轴张紧立方体的预期断裂应变。进一步，通过使用该准则进行计算，得出了单轴张紧圆棒与等双轴张紧薄板的预期断裂应变比。在管道弯曲模拟中，通过提出的准则再现了裂纹的扩展行为。