A catastrophe model for dynamic fracture of static loaded rock

The catastrophe theory was applied to analyze the dynamic fracture process of static loaded rock by adding dynamic disturbance, the double cusp catastrophe model was proposed for internal crack growth in static loaded rock under dynamic disturbance, the change law of self-vibration frequency of internal crack structure was found, and the relationship between dynamic disturbance and the response in crack-consisting structure was nonlinear, a new criterion for dynamic fracture of static loaded rock was given, the complicated process of fracture growth was described from the macro geometric aspects.