Study On The Mechanics For The Mutation Rupture Of Perilous Rock

Perilous rock avalanche is an important global universal mountainous disaster, andit has a sudden falling, which is a dynamic process of rapid energy release. The study isbased on the ruptured pressure-shear perilous rock, to adopt some research methods onthe failure mechanism for the abrupt collapse character of perilous rock, such as, thecatastrophe theory and work-energy principle and so on. The innovative conclusions aregained as follows:(1) Based on the objective reality that the linking patch and locked patch areincluded in the dominant fissure of perilous rock, the correlative mechanical model isproposed. Ground on the energy conservation principle, it calculates the formula aboutdissipation energy of fracture propagation on the locked patch of dominant fissure. Andit gains the evolution curve, which the energy accumulation and energy release willincrease with the accretion of shearing displacement. Furthermore, formulas to calculatethe elastic and impulsive velocity and acceleration on collapse masses after a suddenlandslip are proposed.(2) Considering the constitutive equation that is according with Weibulldistribution, the fold mutation model is proposed, which makes the main features ofperilous rock evolutionary status to correspond with the behavior of equilibriumequation and catastrophe manifold in the model. In terms of the analysis on foldcatastrophe geometrical model and Lyapunov stability, the critical exponent todistinguish the dynamic instability of perilous rock is gained, and the formulas tocalculate the energy release, the starting point and end point of elastic and impulsivefailure are deduced.(3) On the authority of the mechanical features of dentate continuous joint formedby rock bridge fracture and water softening features caused by heavy rainfall separately,the constitutive models are proposed. Considering the residual strength after shearstrength maximum of strain hardening medium, it modifies the calculation ofdissipation energy that trends to be larger. The cusp catastrophe model of perilous rockis established, and the calculating formula of creeping displacement on failure startingpoint and end point and controlling factors of its dynamic instability are deduced.Moreover, it reveals the variational rules for the evolvement of perilous rock under theinfluence of environmental factors. (4) Based on the abrupt collapse dynamic character of massive perilous rock, suchas Shouli Mountain and Taibai Mountain, and tabular perilous rock, Wangxia perilousrock, it estimates the evolutionary status of perilous rock system and to calculate theelastic and impulsive velocity and acceleration, and the results coincide with themonitoring data. The calculation method in this study shows preferable rationality, andit can effectively forecast and inverse the relational dynamic parameters for the abruptcollapse. The results provide some scientific basis for disaster prevention and reduction.