Mechanical Characteristics Analysis of Toppling Deformation Based on Rheological Tests for Cantilever Beam

Curved toppling deformation is essentially the rock rheological deformation. In order to clarify its time-dependent characteristics and mechanical properties, the force analysis of anti-dip stratified slope is conducted, in which the force at a certain point of the rock layer is simplified as the gravity stress and horizontal stress. Then, the rheological tests of the bending cantilever beam are performed under this stress condition. The rheological model of the bending cantilever for rock strata is generalized as four stages: instantaneous deformation, attenuated creep, steady creep and accelerated creep. Based on the above tests and analysis, the constitutive equation for the rheological deformation of the bending cantilever beam is deduced. Through the calculation of the equation, assuming that the strain at the position of the ultimate toppling deformation of rock beam is zero lead to the ultimate depth of the toppling deformation. Given that as the beam breaks the strain acceleration is equal to the upper limit acceleration of the steady creep, the toppling fracture depth can be obtained.