考虑岩桥断裂的岩质边坡倾倒破坏的流形元模拟
|
摘要
通过加入多裂隙扩展的跟踪模拟功能,将石根华博士提出的数值流形法进行扩充,使之既可以模拟块体系统的离散特性,又可以模拟完整岩体的拉裂与剪断。在用几个典型的简单算例验证算法及程序的收敛性和精度的基础上,对龙滩水电站左岸高边坡倾倒破坏离心机实验模型进行数值模拟,模拟中考虑1组贯通的陡倾角逆坡向构造和1组缓倾角顺坡向非贯通裂隙,模拟间断裂隙在外荷载作用下的扩展和岩柱的断裂。数值模拟的承载力和破坏模式均与实验结果吻合良好,可再现该类边坡倾倒破坏的机制,表明该方法与程序可以有效地模拟考虑岩桥作用的岩质边坡的倾倒破坏。
By adding the function of tracing the propagation of cracks,the numerical manifold method proposed by Dr.Shi Genhua is developed which can simulate both the discontinuity of block system and the tensile or shear failure of intact rock.Based on the examination of convergence and accuracy through several typical and simple cases,the centrifuge test that is employed to model the toppling failure of high rock slope on the left bank of Longtan Hydropower Station is simulated,which considers one set of connected opposite-slope joints with steep-dips and one set of along-slope cracks which are not disconnected with low-dips.In this numerical simulation,the propagation of disconnected cracks and the fracture of rock block under external loads are simulated;both the bearing capacity and failure mode simulated numerically are in well coincidence with results of the test,which presents the mechanism of toppling failure of slopes of this kind again.Also,it shows that the proposed method and the program developed can effectively simulate the toppling failure of rock slope while considering the effects of rock bridges.
By adding the function of tracing the propagation of cracks,the numerical manifold method proposed by Dr.Shi Genhua is developed which can simulate both the discontinuity of block system and the tensile or shear failure of intact rock.Based on the examination of convergence and accuracy through several typical and simple cases,the centrifuge test that is employed to model the toppling failure of high rock slope on the left bank of Longtan Hydropower Station is simulated,which considers one set of connected opposite-slope joints with steep-dips and one set of along-slope cracks which are not disconnected with low-dips.In this numerical simulation,the propagation of disconnected cracks and the fracture of rock block under external loads are simulated;both the bearing capacity and failure mode simulated numerically are in well coincidence with results of the test,which presents the mechanism of toppling failure of slopes of this kind again.Also,it shows that the proposed method and the program developed can effectively simulate the toppling failure of rock slope while considering the effects of rock bridges.
引文
[1]GOODMAN R E,BRAY J W.Toppling of slopes[C]//Proceedings of the Specialty Conference on Rock Engineering for Foundations and Slopes,ASCE.Boulder,Colorado:[s.n.],1976:201–234.
[2]汪小刚,贾志欣,陈祖煜,等.岩质边坡倾倒破坏的稳定分析方法[J].水利学报,1996,(3):7–12.(WANG Xiaogang,JIA Zhixin,CHEN Zuyu,et al.Research on stability analysis of toppling failure of jointed rock slopes[J].Journal of Hydraulic Engineering,1996,(3):7–12.(in Chinese))
[3]孙东亚,彭一江,王兴珍.DDA数值方法在岩质边坡倾倒破坏分析中的应用[J].岩石力学与工程学报,2002,21(3):39–42.(SUN Dongya,PENG Yijiang,WANG Xingzhen.Application of DDA method to stability analysis of toppling rock slope[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(3):39–42.(in Chinese))
[4]邬爱清,丁秀丽,李会中,等.非连续变形分析方法模拟千将坪滑坡启动与滑坡全过程[J].岩石力学与工程学报,2006,25(7):1 297–1 303.(WU Aiqing,DING Xiuli,LI Huizhong,et al.Numerical simulation of startup and complete failure process of Qianjiangping Landslide using discontinuous deformation analysis method[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(7):1 297–1 303.(in Chinese))
[5]CUNDALL P A,STACK O D L.A discrete numerical model granular assemblies[J].Geotechnique,1979,29(1):47–65.
[6]王卫华,李夕兵.离散元法及其在岩土工程中的应用综述[J].岩土工程技术,2005,19(4):177–181.(WANG Weihua,LI Xibing.A review on fundamentals of distinct element method and its application to geotechnical engineering[J].Geotechnical Engineering Technique,2005,19(4):177–181.(in Chinese))
[7]张丙印,师瑞锋,侯瑜京.昌马水库枢纽工程右岸岩石边坡稳定性的离散元法分析[J].水利发电学报,2002(,1):73–81.(ZHANG Bingyin,SHI Ruifeng,HOU Yujing.Stability analysis of the rock slope of Changma reservoir′s right bank with discrete element method[J].Journal of Hydroelectric Engineering,2002,(1):73–81.(in Chinese))
[8]纪玉石,申力,刘晶辉,等.采矿引起的倾倒滑移变形机制及其控制[J].岩石力学与工程学报,2005,24(19):3 594–3 598.(JI Yushi,SHEN Li,LI Jinghui,et al.Deformation mechanism and control of mining-induced toppling-displacement[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(19):3 594–3 598.(in Chinese))
[9]石根华.数值流形方法与非连续变形分析[M].裴觉民译.北京:清华大学出版社,1997.(SHI Genhua.Numerical manifold method and discontinuous deformation analysis[M].Translated by PEI Juemin.Beijing:Tsinghua University Press,1997.(in Chinese))
[10]张国新,王光纶,裴觉民.基于流形元方法的结构体破坏分析[J].岩石力学与工程学报,2001,20(3):281–287.(ZHANG Guoxin,WANG Guanglun,PEI Juemin.Structure failure analysis based on manifold method[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(3):281–287.(in Chinese))
[11]ZHANG G X,SUGIURA Y,SAITO K.Failure simulation of foundation by manifold method and comparison with experiment[J].Journal of Applied Mechanics,1998,(1):427–436.
[12]张国新,彭静.二阶流形元与结构变形分析[J].力学学报,2002,34(2):261–269.(ZHANG Guoxin,PENG Jing.Second-order manifold method in structure failure analysis[J].Acta Mechanica Sinica,2002,34(2):261–269.(in Chinese))
[13]张国新,周立本,朱伯芳,等.五强溪船闸裂缝的流形元模拟[J].水利学报,2003,(11):37–42.(ZHANG Guoxin,ZHOU Liben,ZHU Bofang,et al.Simulation of crack with manifold method for Wuqiangxi Shiplock[J].Journal of Hydraulic Engineering,2003(,11):37–42.(in Chinese))
[14]汪小刚,张建红,赵毓芝,等.用离心模型研究岩石边坡的倾倒破坏[J].岩土工程学报,1996,18(5):14–21.(WANG Xiaogang,ZHANG Jianhong,ZHAO Yuzhi,et al.Investigations on mechanism of slope toppling failure by centrifuge model testing[J].Chinese Journal of Geotechnical Engineering,1996,18(5):14–21.(in Chinese))
[15]张国新,金峰,王光纶.用基于流形元的子域奇异边界元法模拟重力坝的地震破坏[J].工程力学,2001,18(4):18–27.(ZHANG Guoxin,JIN Feng,WANG Guanglun.Seismic failure simulation of gravity dam by manifold based singular boundary element method[J].Engineering Mechanics,2001,18(4):18–27.(in Chinese))
[16]CHEN Y Z.General case of multiple crack problems in infinite plate[J].Engng.Fracture Mech.,1984,20(5):591–598.
[17]LI Z L,LI Z J.Compulation of stress instensity factors by using global crack-line displacement fitting procedure[J].International Journal of Fracture,2000,99(4):259–279.
[2]汪小刚,贾志欣,陈祖煜,等.岩质边坡倾倒破坏的稳定分析方法[J].水利学报,1996,(3):7–12.(WANG Xiaogang,JIA Zhixin,CHEN Zuyu,et al.Research on stability analysis of toppling failure of jointed rock slopes[J].Journal of Hydraulic Engineering,1996,(3):7–12.(in Chinese))
[3]孙东亚,彭一江,王兴珍.DDA数值方法在岩质边坡倾倒破坏分析中的应用[J].岩石力学与工程学报,2002,21(3):39–42.(SUN Dongya,PENG Yijiang,WANG Xingzhen.Application of DDA method to stability analysis of toppling rock slope[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(3):39–42.(in Chinese))
[4]邬爱清,丁秀丽,李会中,等.非连续变形分析方法模拟千将坪滑坡启动与滑坡全过程[J].岩石力学与工程学报,2006,25(7):1 297–1 303.(WU Aiqing,DING Xiuli,LI Huizhong,et al.Numerical simulation of startup and complete failure process of Qianjiangping Landslide using discontinuous deformation analysis method[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(7):1 297–1 303.(in Chinese))
[5]CUNDALL P A,STACK O D L.A discrete numerical model granular assemblies[J].Geotechnique,1979,29(1):47–65.
[6]王卫华,李夕兵.离散元法及其在岩土工程中的应用综述[J].岩土工程技术,2005,19(4):177–181.(WANG Weihua,LI Xibing.A review on fundamentals of distinct element method and its application to geotechnical engineering[J].Geotechnical Engineering Technique,2005,19(4):177–181.(in Chinese))
[7]张丙印,师瑞锋,侯瑜京.昌马水库枢纽工程右岸岩石边坡稳定性的离散元法分析[J].水利发电学报,2002(,1):73–81.(ZHANG Bingyin,SHI Ruifeng,HOU Yujing.Stability analysis of the rock slope of Changma reservoir′s right bank with discrete element method[J].Journal of Hydroelectric Engineering,2002,(1):73–81.(in Chinese))
[8]纪玉石,申力,刘晶辉,等.采矿引起的倾倒滑移变形机制及其控制[J].岩石力学与工程学报,2005,24(19):3 594–3 598.(JI Yushi,SHEN Li,LI Jinghui,et al.Deformation mechanism and control of mining-induced toppling-displacement[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(19):3 594–3 598.(in Chinese))
[9]石根华.数值流形方法与非连续变形分析[M].裴觉民译.北京:清华大学出版社,1997.(SHI Genhua.Numerical manifold method and discontinuous deformation analysis[M].Translated by PEI Juemin.Beijing:Tsinghua University Press,1997.(in Chinese))
[10]张国新,王光纶,裴觉民.基于流形元方法的结构体破坏分析[J].岩石力学与工程学报,2001,20(3):281–287.(ZHANG Guoxin,WANG Guanglun,PEI Juemin.Structure failure analysis based on manifold method[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(3):281–287.(in Chinese))
[11]ZHANG G X,SUGIURA Y,SAITO K.Failure simulation of foundation by manifold method and comparison with experiment[J].Journal of Applied Mechanics,1998,(1):427–436.
[12]张国新,彭静.二阶流形元与结构变形分析[J].力学学报,2002,34(2):261–269.(ZHANG Guoxin,PENG Jing.Second-order manifold method in structure failure analysis[J].Acta Mechanica Sinica,2002,34(2):261–269.(in Chinese))
[13]张国新,周立本,朱伯芳,等.五强溪船闸裂缝的流形元模拟[J].水利学报,2003,(11):37–42.(ZHANG Guoxin,ZHOU Liben,ZHU Bofang,et al.Simulation of crack with manifold method for Wuqiangxi Shiplock[J].Journal of Hydraulic Engineering,2003(,11):37–42.(in Chinese))
[14]汪小刚,张建红,赵毓芝,等.用离心模型研究岩石边坡的倾倒破坏[J].岩土工程学报,1996,18(5):14–21.(WANG Xiaogang,ZHANG Jianhong,ZHAO Yuzhi,et al.Investigations on mechanism of slope toppling failure by centrifuge model testing[J].Chinese Journal of Geotechnical Engineering,1996,18(5):14–21.(in Chinese))
[15]张国新,金峰,王光纶.用基于流形元的子域奇异边界元法模拟重力坝的地震破坏[J].工程力学,2001,18(4):18–27.(ZHANG Guoxin,JIN Feng,WANG Guanglun.Seismic failure simulation of gravity dam by manifold based singular boundary element method[J].Engineering Mechanics,2001,18(4):18–27.(in Chinese))
[16]CHEN Y Z.General case of multiple crack problems in infinite plate[J].Engng.Fracture Mech.,1984,20(5):591–598.
[17]LI Z L,LI Z J.Compulation of stress instensity factors by using global crack-line displacement fitting procedure[J].International Journal of Fracture,2000,99(4):259–279.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心