论文部分内容阅读
岩石破坏问题是非连续问题。采用传统的有限元方法模拟岩石破坏时,计算结果依赖于网格,计算效率低。光滑粒子流体动力学(SPH)法主是一种模拟流体的无网格方法。对SPH法进行改进,将SPH法中流体的本构关系修正为弹脆性固体的本构关系,采用Weibull统计方法描述岩石材料的非均匀性,使SPH法能有效地模拟各向异性弹脆性岩石的破坏。改进的SPH法克服了有限元的缺点,在模拟裂纹启裂、扩展和连接时,计算结果不依赖网格,计算效率高。通过对单轴压缩条件下岩石破坏的数值计算结果表明:改进的SPH法能有效地理解和预测岩石材料的复杂破裂过程。
Rock destruction is a non-continuous problem. When the traditional finite element method is used to simulate rock failure, the calculation results depend on the grid and the computational efficiency is low. The Smooth Particle Hydrodynamics (SPH) method is a meshless method of simulating fluids. The SPH method is improved. The constitutive relation of the fluid in the SPH method is revised to the constitutive relation of the brittle solid. The Weibull statistical method is used to describe the heterogeneity of the rock material so that the SPH method can effectively simulate the anisotropic elastic brittle rock The destruction. The improved SPH method overcomes the shortcomings of the finite element method. When simulating the crack initiation, propagation and connection, the calculation results do not depend on the grid and the computational efficiency is high. The numerical results of rock failure under uniaxial compression show that the improved SPH method can effectively understand and predict the complicated fracture process of rock materials.