Analytical solution for the stability analysis of rock slopes against block toppling failure subjected to seismic loads

2016 ◽  
Author(s):  
Congxin Chen ◽  
Yun Zheng ◽  
Haina Zhang
Keyword(s):  
Stability Analysis ◽  
Analytical Solution ◽  
Seismic Loads ◽  
Rock Slopes ◽  
Toppling Failure ◽  
The Stability

3D stability analysis method for toppling failure on rock slopes

2021 ◽  
pp. qjegh2021-010
Author(s):  
Xiao-Gang Wang ◽  
Xin-Chao Lin
Keyword(s):  
Mechanical Properties ◽  
Stability Analysis ◽  
Safety Factor ◽  
Yield Criterion ◽  
3D Models ◽  
Rock Slopes ◽  
Block System ◽  
Toppling Failure ◽  
The Stability ◽  
Definition Of

In this paper, an optimized solution method is proposed for the 3D stability analysis of rock slopes subject to toppling failure based on their geometric and mechanical properties. It was verified by a 3D block system that focused on the geometric properties of toppling slopes as a research object, considering the force and its action point on the interface of the block system as unknown variables, as well as introducing the definition of a safety factor considering both tension and shear strength reduction. The proposed method implied setting constraints, such as the balance equation corresponding to block force and moment, as well as non-violation of the yield criterion, considering the minimum value of the safety factor as the objective function. It was applied to the analysis of two typical 3D models simulating toppling failure on slopes. The example of a 3D spherical toppling slope was reconstructed and corroborated by calculations. The experimental results demonstrated that the proposed method could appropriately reflect the mechanical properties and stability behavior of a 3D toppling slope, thereby facilitating the analysis of the stability of 3D toppling rock slope model.

Stability analysis of rock slopes against sliding or flexural-toppling failure

2017 ◽  
Vol 77 (4) ◽  
pp. 1383-1403 ◽  
Author(s):  
Yun Zheng ◽  
Congxin Chen ◽  
Tingting Liu ◽  
Kaizong Xia ◽  
Xiumin Liu
Keyword(s):  
Stability Analysis ◽  
Rock Slopes ◽  
Toppling Failure ◽  
Flexural Toppling ◽  
Flexural Toppling Failure

scholarly journals The Stability Analysis of Periodic Beams Interacting with Periodic Elastic Foundation with the Use of the Tolerance Averaging Technique

Materials ◽  
2021 ◽  
Vol 14 (20) ◽  
pp. 5923
Author(s):  
Jakub Marczak ◽  
Jarosław Jędrysiak
Keyword(s):  
Stability Analysis ◽  
Analytical Solution ◽  
Fem Analysis ◽  
Critical Force ◽  
Mathematical Methods ◽  
Averaging Technique ◽  
Constant Coefficients ◽  
The Stability ◽  
Averaged Models ◽  
Inhomogeneous Foundation

In this paper a stability analysis of microperiodic beams resting on the periodic inhomogeneous foundation is carried out. The main issue of this considerations, which is the analytical solution to the governing equations characterised by periodic, highly oscillating and non-continuous coefficients, is overwhelmed by the application of the tolerance averaging technique. As a result of such application, the governing equation is transformed into a form with constant coefficients which can be solved using well-known mathematical methods. In several calculation examples, the convergence of the results of two derived averaged models is examined, as well as the convergence of the lowest value of the critical force parameter derived from the averaged models with the FEM model. The results prove the superiority of the presented analytical solution over the FEM analysis in the optimisation process.

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