NUMERICAL SIMULATION OF ROCK FAILURE PROCESS
IN UNIAXIAL COMPRESSION USING SMOOTHED PARTICLE HYDRODYNAMICS
ZHOU Xiaoping1，2，3，ZHAO Yi1，QIAN Qihu4
(1. School of Civil Engineering，Chongqing University，Chongqing 400045，China；2. Key Laboratory of New Technology for Construction of Cities in Mountain Area，Chongqing University，Chongqing 400045，China；3. State Key Laboratory of Coal Mine Disaster Dynamics and Control，Chongqing University，Chongqing 400044，China；4. Engineering Institute of National Defense Engineering，PLA University of Science and Technology，Nanjing，Jiangsu 210007，China)
Abstract：The problem of rock failure is discontinuous one. The numerical results depend on meshes and computational efficiency is low when finite element method is applied to simulate the failure of rock. Standard smoothed particle hydrodynamics(SPH) method is mesh-free numerical one，which is mainly applied to model the problem of fluid. In this paper，a corrected smoothed particle hydrodynamics，in which constitutive relation of fluid is replaced by constitutive relation of elasto-brittle solid and Weibull statistical approach is used to describe the heterogeneity of the rock-like materials，is developed to simulate the failure of heterogeneous elasto-brittle rock. The corrected smoothed particle hydrodynamics overcomes the shortcomings of finite element method. The numerical results is independence of meshes and computational efficiency is high when the corrected smoothed particle hydrodynamics is applied to simulate growth and coalescence of cracks. The corrected smoothed particle hydrodynamics is helpful to understanding and predicting complex fracture processes of rock-like materials.
2015, Vol. 34 
