Boundary effect of toppling failure based on three-dimensional mechanical model Boundary effect of toppling failure based on three-dimensional mechanical model

最小化 最大化

Vol19 No.11: 3314-3322 

Title】Boundary effect of toppling failure based on three-dimensional mechanical model

Author】CAI Jun-chao1,2,3; ZHENG Da2,3*; JU Neng-pan2,3*; HUANG Run-qiu2,3; ZHAO Wei-hua2,3

Addresses】1 School of Civil Engineering, Henan University of Science and Technology, Luoyang 471023, China; 2 State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, China; 3 College of Environment and Civil Engineering, Chengdu University of Technology, Chengdu 610059, China

Corresponding author】ZHENG Da

Citation】Cai JC, Zheng D, Ju NP, et al. (2022) Boundary effect of toppling failure based on three-dimensional mechanical model. Journal of Mountain Science 19(11). https://doi.org/10.1007/s11629-022-7337-2

DOI】https://doi.org/10.1007/s11629-022-7337-2

Abstract】Previous researches on the mechanical model of toppling failure mainly concentrated on two-dimensional mechanical model (TwDM) analysis. The TwDM analysis assumes the width of the slab beam is unit width without considering the lateral constraint force. The assumed conditions are obviously different from the site conditions, thus there is a certain difference between the calculated results and the field work. A three-dimensional mechanical model (ThDM) of toppling failure was established, considering that the slab beam was mainly subject to self-weight, the frictional resistance of interlayer and lateral constraint force. Due to the progressive characteristics of toppling failure, the concept and the formula of the first fracture depth (FFD) of toppling was raised and constructed. The case study indicates that the ThDM is more effective and can be accurately used to calculate the toppling fracture depth of the slab beam. The FFD decreases proportionally with the increase of slab beam width. FFD grows fast when the slab beam width is less than 2.0 m and it tends to be stable when the slab beam width is above 2.0 m.The FFD decreases with the increase of the lateral constraint coefficient, indicating that the boundary condition of the free space is positively correlated with the stability and depth of toppling. This is a good explanation of the free space effect. This study provides a reference for the stability evaluation and prevention-control design of toppling slope in the future.

Keywords】Boundary effect; Toppling failure; Three-dimensional mechanical model (ThDM); First fracture depth (FFD); Free face; Slope failure