Simulation of rock crack propagation using continuous-discontinuous cellular automaton method

摘要

An approach of continuous-discontinuous cellular automaton method for modeling rock crack propagation is developed,in which level set method,discontinuous enriched shape function,discontinuous cellular automaton and contact friction theory are combined.Firstly,level set method is employed to track the location of the cracks,which are independent with the grids.Secondly,contact friction theory is applied to construct the contact friction model,and frictional stresses between crack surfaces can be exactly described.Thirdly,discontinuous cellular automaton is constructed,and the whole calculations are located on cells,so no assembled stiffness matrix but only cell stiffness is needed.Besides,contact iterations are done simultaneously with the updating of cellular automaton,and a new mixed iteration method is proposed,in which contact states and areas can be previously obtained,and the efficiency can get much higher.Finally,numerical results are given to illustrate the efficiency of the present method.