The Microcracking Of Rock And The Prediction Of Fracture And Failure

This contribution illustrates the application of the theory of period doubling to the description of the formation of microcracks in rocks. The fundamental mathematics is described and a method of prediction is proposed. The invariance (universal constants) of a generic microfracturing (damage) process is described. Finally, the method is presented as a deterministic method of predicting the failure of an engineering material while keeping track of the amount of damage that has occured at any point.