Three-dimensional method for slope stability with the curvilinear route of the main sliding

Analysis of swallowtail mutation instability of slope with weak interlayer under blasting disturbance

“…The theoretical difference between blasting vibration and natural earthquake lies in the energy and characterization equations of vibration forces, blasting disturbance is subordinated in a branch of the seismic field [10][11][12]. So far, many researchers have attempted to analyze slope stability under the action of blasting disturbance through finite element numerical analysis method based on the limit equilibrium theory, and achieved certain research results [13][14][15]. While exploring the stability of rock slopes based on the limit equilibrium theory, relevant researchers consider blasting disturbance load from three perspectives: (1) Apply equivalent blasting disturbance load to the slope surface based on relevant equivalence principles [16,17]; (2) Establishing key equations for blasting disturbance based on experience in blasting vibration engineering and incorporating limit equilibrium theory [18,19]; (3) According to blasting vibration engineering experience, the strength of relevant parameters of slope rock mass is reduced to simulate the influence of blasting vibration load on the mass of slope rock, among which the second one has gradually become a mainstream method [5,[20][21][22].…”

Solving the general 3-D safety factor by combining Sarma’s idea with the assumption of normal stress distribution over the slip surface

“…Zhu et al [22] extend the assumption of the normal stress to the 3D limit equilibrium, only considering the vertical force equilibrium and the moment equilibrium by rotating axis for symmetric slopes. Moreover, they establish a 3-D calculation method that satisfies different equilibrium conditions for the slope stability based on this concept [23][24][25]. Zhu and Qian [26] suggest that the modified normal stress distribution along the sliding surface should be non-negative.…”