破裂过程模拟的可变形圆化多边形离散单元法  

Deformable spheropolygonal-based discrete element method for simulation of fracturing process

作　　者：徐洋 赵兰浩[1] 邵琳玉 毛佳[1] XU Yang;ZHAO Lanhao;SHAO Linyu;MAO Jia(College of Water Conservancy and Hydropower Engineering,Hohai University,Nanjing 210098,China)

机构地区：[1]河海大学水利水电学院,江苏南京210098

出　　处：《中南大学学报（自然科学版）》2023年第3期1121-1130,共10页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(52009034);霍英东教育基金会第十五届高等院校青年教师基金资助项目(151073);中央高校基本科研业务费专项基金资助项目(B210201036)。

摘　　要：为研究工程中岩体内部裂纹的萌生、拓展和贯通机制,模拟其破裂时接触碰撞的全过程,提出可变形圆化多边形离散单元法。该方法将有限单元法与圆化多边形离散单元法进行耦合,采用圆化多边形离散单元法计算非连续岩体间的相互接触作用,连续体内部的应力应变状态则通过有限单元法进行分析。为准确模拟裂纹演化过程,在有限单元间插入节理单元,采用虚拟裂缝模型和具有拉伸截断的摩尔-库仑准则描述节理单元在拉伸、剪切等不同破坏模式下的力学状态。最后模拟巴西圆盘开裂、单切口弯梁开裂及块体冲击破坏试验。研究结果表明:所提出方法能准确模拟岩体从连续体变化为非连续体的破裂过程。The deformable spheropolygonal-based discrete element method(DSDEM)was proposed to study the mechanism of the initiation,propagation and coalescence of cracks in engineering rook mass,and to simulate the whole process of contact and collision.The DSDEM was coupled with the finite element method(FEM)and the spheropolygonal-based discrete element method(SEM).The SEM was employed to calculate the interaction between discontinuous rock mass,and the stress and strain state inside the continuum was analyzed by the FEM.To exactly simulate the crack evolution process,joint elements were inserted between the finite element.The fictitious crack model and Mohr-Coulomb criterion were used to describe the mechanical states of joint elements in different failure modes such as tensile failure and shear failure.Finally,numerical simulations were performed on Brazilian disc test,single-edge notched beam test and block impact failure test.The results indicate that the proposed method can accurately simulate the whole failure process of rock mass from continuum to discontinuum.

关 键 词：岩体破裂 圆化多边形离散单元法 节理单元 虚拟裂缝模型 

分 类 号：TU45[建筑科学—岩土工程]