A Static Relaxation Based Cellular Automata Method And Its Program For Slope Analysis

The stability of slopes has long been a popular topic of research in geotechnical engineering,and it has been the goal of many researchers and scholars to evaluate the stability of slopes more correctly,efficiently and realistically.In recent years,the cellular automata theory,characterized by discrete nature,has been gaining great popularity in all circles by transforming continuous complex problems into discrete simple problems to be solved.Unlike the solution ideas of most traditional numerical methods such as finite element methods,it solves the problem from a local-to-whole perspective to eliminate the unbalanced forces in the internal local regions by the continuous transfer of local equilibrium cell states to achieve the overall system equilibrium,so it does not need to establish large overall equilibrium equations and has lower memory consumption for computation.As for the cellular automata theory,establishing a reasonable inter-cellular state transfer rule is the key to whether it can be solved correctly.In the process of research,it is found that the static relaxation discrete cell method is a more suitable method for cellular automata solution,but it is limited by its own theoretical framework,and it is difficult to make a new breakthrough.Therefore,this paper introduces the limit equilibrium theory and cellular automata theory on the basis of the static relaxation method,hoping that this new attempt can establish a slope stability analysis method that has the advantages of both computational efficiency and computational accuracy.The main research work and conclusions of this paper are as follows.(1)Based on the basic theory of static relaxation discrete cell method,a slope cellular automata model is established by combining limit equilibrium theory and cellular automata mechanism,and a new method for analyzing slope stability is proposed,and the corresponding calculation formula and calculation procedure are given.The model can study the mechanical mechanism of landslide damage of slopes from microscopic to macroscopic perspectives,and has special significance and advantages especially for studying the progressive damage of slopes.(2)In the slope cellular automata model,firstly,the general slope model is regularized and discrete into the block cellular model,and the block cellular face-to-face contact relationship is simplified to the point-surface contact relationship through the spring penalty model,at which time the basic mechanical model of the general block can be equated to the block spring mechanical model.In the process,there is no need to make any assumptions,and the final converged system static equilibrium solution can be obtained only by eliminating the unbalanced forces transmitted between the blocks through the cyclic iteration of the cellular automaton.(3)This paper tries to study the stability of slope from microscopic to macroscopic point of view from the perspective of progressive damage of slope landslide,defines the local safety coefficient of the block,and calculates the overall safety coefficient of the landslide part on the basis of the local safety coefficient.(4)Based on the computer development language C++,the slope stability analysis software DEMCASlope is developed.the software results are clearly visible and can correctly simulate the slope landslide damage evolution process,and the stability degree of the overall slope slip surface is obtained based on the local safety coefficient solution,and the self-written program is used to calculate and analyze several slope arithmetic cases respectively.(5)This paper introduces cellular automata theory to analyze slope stability on the basis of the discrete cell method,so this method has unique advantages for complex kinked rock slopes,and provides a new theoretical method for further study of more complex kinked rock slopes.At the same time,it provides a new idea for further development of discrete unit method.