Progressive failure processes of reinforced slopes based ongeneral particle dynamic method

ZHAO Yi(赵毅)^{1, 2}, ZHOU Xiao-ping(周小平)^{1, 2, 3}, QIAN Qi-hu(钱七虎)⁴

(1. State Key Laboratory of Coal Mine Disaster Dynamics and Control (Chongqing University),
Chongqing 400045, China;
2. School of Civil Engineering, Chongqing University, Chongqing 400045, China;
3. Key Laboratory of New Technology for Construction of Cities in Mountain Area of Ministry of Education,
(Chongqing University), Chongqing 400045, China;
4. Engineering Institute of Engineering Crops, PLA University of Science and Technology, Nanjing 210007, China)

Abstract:In order to resolve grid distortions in finite element method (FEM), the meshless numerical method which is called general particle dynamics (GPD) was presented to simulate the large deformation and failure of geomaterials. The Mohr-Coulomb strength criterion was implemented into the code to describe the elasto-brittle behaviours of geomaterials while the solid-structure (reinforcing pile) interaction was simulated as an elasto-brittle material. The Weibull statistical approach was applied to describing the heterogeneity of geomaterials. As an application of general particle dynamics to slopes, the interaction between the slopes and the reinforcing pile was modelled. The contact between the geomaterials and the reinforcing pile was modelled by using the coupling condition associated with a Lennard-Jones repulsive force. The safety factor, corresponding to the minimum shear strength reduction factor “R”, was obtained, and the slip surface of the slope was determined. The numerical results are in good agreement with those obtained from limit equilibrium method and finite element method. It indicates that the proposed geomaterial-structure interaction algorithm works well in the GPD framework.

Key words:general particle dynamic algorithm (GPD); slope stability; progressive failure process; geomaterial-structure interaction