基于摩尔库伦准则的数值流形法岩体破坏模拟分析  

Simulation analysis of rock mass failure by numerical manifold method based on Mohr-Coulomb criterion

作　　者：高文伟 GAO Wenwei(School of Civil Engineering,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学建筑工程学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2022年第4期7-11,17,共6页Journal of Yan'an University：Natural Science Edition

基　　金：陕西省自然科学基础研究计划项目(2021JQ-632);延安大学博士科研启动项目(YDBK2019-37)。

摘　　要：岩石破坏的本质原因是由于内部裂隙的萌生、扩展与贯通。数值流形方法(NMM)可以有效模拟连续和非连续问题,然而,其在多裂纹动态扩展的模拟方面仍处于探索阶段。以摩尔库伦原理为基础,提出了一种基于数值流形方法的多裂纹扩展模拟算法,通过计算物理覆盖上的最大主应力与最小主应力,判断岩体破坏类型,并以含裂纹的单轴压缩试验为研究案例,分析该方法在岩体裂纹扩展中的特点。结果表明,摩尔库伦准则中数值流形法对岩体破坏能够较好的进行模拟,破坏过程是从裂纹尖端开始逐步扩展,为岩体破坏研究提供了思路。The essential reason of rock failure is the initiation,expansion,and penetration of internal cracks.Numerical manifold method(NMM)can effectively simulate continuous and discontinuous problems. However,it is still in the exploratory stage in the simulation of multi crack dynamic propagation. Based on the Mohr-Coulomb principle,a multi crack propagation simulation algorithm via numerical manifold method is proposed. The failure type of rock mass is judged by calculating the maximum principal stress and minimum principal stress on the physical cover. Taking the uniaxial compression test with cracks as the research case,the characteristics of this method in rock crack propagation are analyzed. The results show that the numerical manifold method in Mohr-Coulomb criterion can better simulate the rock failure,and the failure process is gradually expanding from the crack tip,which provides references for further research on rock mass failure.

关 键 词：数值流形法 裂纹扩展 摩尔库伦准则 

分 类 号：TU452[建筑科学—岩土工程]