The Study Of The Slope Stability And The Application Of The Mutation Theory

Currently,from the foundation pit engineering in the house-building project to the excavation and filling engineering in the road and bridge project,most engineering constructions are inseparable with the slope engineering.The slope engineering directly influences the main part of project construction.Instable slope not only causes personnel and property losses,but also influences the project construction and further leads to the shutdown of the project.Therefore,the evaluation on the slope's stability is very significant.In order to evaluate slope stability rationally,unstable failure forms of stratified rock mass were studied in this paper.Through synthesis and simplification based on the original classification,5 destructional forms were achieved.After referring to correlated literatures,not only were instability mechanisms of various stratified rock masses studied,but those of dip and counter-tilt slopes were classified as necessary.Therefore,a supplementary study was carried out for the instability mechanism of diagonal slopes.On this basis,destabilization criterion of stratified rock masses was further explored and it was supplementally described in conjunction with the existing formula shown in these literatures.Moreover,formula deficiency incurred by simplification mentioned above was reasonably supplemented.With an aim to study influencing factors on slopes of example projects,factors that have an influence on instability of stratified rock masses were accounted for in this paper.They were also divided into two categories for the purpose of illustration.Additionally,catastrophe theory was introduced and briefly introduced in this paper in order to improve computational efficiency of strength reduction finite element method,and predict and judge slope stability conditions of stratified rock masses.By brief potential function derivation of elementary model and introduction to the corresponding applications,cusp model was finally selected as the theoretical model that could be adopted to study stratified rock mass stability evaluation.Dependent on the existing researches,potential functions were constructed and the associated discriminant was also acquired by stepwise derivation.To verify the application effects of catastrophe theory in engineering and prove that this theory made contribution to improving the computational efficiency of strength reduction finite element method,an open-pit mine slope project was taken as the instance to analyze this slope by the traditional strength reduction finite element method and another finite element method based on catastrophe theory.It has comparatively signified that not only could research results be gained correctly according to the latter,but computational efficiency increased.Moreover,it was also found in this paper that analysis results acquired by the catastrophe theory were subjected to little influence of mechanical parameters of rock mass.With the purpose of probing into catastrophe theory based prediction on slope instability time,monitoring data of such a project were employed in the end to perform curve fitting and error of the predicted time turned out to be acceptable.