Plastic Limit Analysis For Jointed Rock Slope Stability Considering Rotational And Translational Mechanisms

In the domain of water resources and hydropower engineering,transportation,mining and infrastructure construction,it's inevitable to encounter a lot of rock slope engineering problems,and the geological hazard of instability occurs in rock slope frequently.The stability analysis of slope is an important branch of geotechnical engineering,among of them,the stability analysis method of soil slope has been increasingly perfect,but there are still many problems need to be solved for stability analysis method of rock slope.Compared with soil slope,the toppling effect of rock mass is the important reason for instability and failure of jointed rock slope.In this article,the author combines with plastic limit analysis theory and rigid block element discretization,simultaneously,taking the rotational and translational mechanical effects of rock mass into condition,make the following research for jointed rock slope:(1)Illuminating the important significance for stability analysis of rock slope,especially the great influence of toppling failure to the safety of jointed rock slope,and making a detailed summary about stability analysis methods of slope and development and research situation for plastic limit analysis at home and abroad.(2)Introducing the basic theory of plastic limit analysis method,ultimate state,demonstrating the lower and upper bound theorem and making several important inferences about it.(3)Presenting a new approach for stability analysis methods of jointed rock slope,which could simulate toppling failure,in other words,this approach could consider the rotational and translational mechanical effects of rock mass simultaneously.First of all,the rock slope is divided into a geometry system composed of rock blocks and structural planes using rigid block elements.Secondly,combined with lower and upper bound theorem of plastic limit analysis,constructing lower-bound and upper-bound model for stability analysis of jointed rock slope.Then,the above-mentioned linear programming model is solved by the inner point method.Lastly,through analysis and research for six examples,verifying the correctness of proposed method.(4)For the toppling failure of rock slope,earthquake inertia force is the important inducing factor,and failure mechanism of slope instability under earthquake action is studied in this article.Through combing with quasi-static method and virtual work principle,the seismic effect is introduced into the upper-bound and lower-bound method of limit analysis theory.Then making contrastive analysis compared with previous examples to research the influence of seismic force on the stability of rock slope,and safety factors of rock slope under different earthquake actions are solved.(5)Summarizing the research contents in this article and problems with the application of approached method,then making an expectation about the further research of this method.