论文部分内容阅读
提出了一种基于颗粒接触的无网格方法(PCMM),并编制了相应的C++程序,解决了有限元等网格类方法在模拟边坡失稳滑动过程中的网格畸变问题。该方法利用颗粒离散元中的接触拓扑创建连续介质单元,通过颗粒的运动演化实现连续介质单元的自动删除及重建,通过在连续介质单元中引入考虑应变软化效应的Mohr-Coulomb模型及最大拉应力模型,实现边坡的弹塑性分析及失稳滑移过程的模拟。利用PCMM分析了均质边坡的弹塑性场、沙堆的形成过程及土质边坡的失稳过程。计算结果表明,PCMM在小变形下具有足够的精度,且在模拟材料大变形方面具有明显优势,是一种模拟边坡成灾范围的有效方法。
A meshless method based on particle contact (PCMM) was proposed and a corresponding C ++ program was compiled to solve the problem of grid distortion in simulating the process of slope instability and slippage, such as finite element method. In this method, the continuous medium element is created by the contact topology in the particle discrete element, and the continuous medium element is automatically deleted and reconstructed by the motion evolution of the particle. By introducing the Mohr-Coulomb model which considers the strain softening effect in the continuous medium element and the maximum tensile stress Model to realize the elasto-plastic analysis of the slope and the simulation of the instability and slippage process. The PCMM was used to analyze the elastic-plastic field, the formation of sand pile and the instability process of soil slope. The calculation results show that PCMM has enough precision in small deformation and has obvious advantages in large deformation of simulated material, which is an effective method to simulate the disaster area of slope.