Multi-stage fracture depth calculation model of reverse dip rock slope based on energy evolution
Multiple-stage fracturing is a prevalent deformation failure phenomenon during the tilting process of inclined layered rock slopes. To accurately determine the burial depth of the multi-stage fracturing zones during the tilting deformation process of inclined layered rock slopes,this study analyzed energy conservation principles.Combining a cantilever beam model,it derived an energy balance equation for a single-layered beam by considering the absorption of energy from external forces doing work and the release of energy from beam deformation. Building upon this foundation,the study established two types of unstable fracture calculation models for the beam based on the critical instability states of rock mass elastic yield and bending failure. By altering parameters such as rock layer inclination,slope angle,and slope height,it formulated a multi-stage fracturing depth calculation model for inclined layered rock slopes. Lastly,the reliability of the calculation model was verified through the centrifuge model test and practical engineering cases. Results indicate that the centrifuge model tests effectively reveal the presence of multi-stage fracturing phenomena during the tilting deformation process of inclined layered rock slopes. The entire tilting deformation process can be divided into three stages,which are rear rock mass tilting deformation,gradual formation of fissures on fracture planes,and instability of the slope rock mass. The results of the multi-stage fracturing depth calculation model for inclined rock slopes are consistent with the results of the centrifuge model test and the burial depths of various fracture zones in a slope engineering case in Yunnan Province,China. This demonstrates that the proposed multi-stage fracturing depth calculation model can accurately locate fracturing depths in the centrifuge model test and practical engineering cases,and can identify the main instability mode of slope deformation and failure based on calculation results. The research outcomes hold theoretical and practical significance for stability assessment and failure mechanism analysis of inclined layered rock slopes.
layered rock slopestoppling deformationmulti-level destruction of bordersfracture depthconservation of energy
万方数据
维普
