基于非线性统一强度理论的节理岩体地基承载力研究
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摘要
现有的节理岩体地基承载力计算方法大多是以Hoek-Brown强度准则为基础建立的,没有考虑中间主应力的效应,不能充分发挥岩体的强度潜能。综合统一强度理论和Hoek-Brown强度准则的优点,结合临界滑动场理论求解地基承载力,并考虑地震荷载的影响。计算结果表明,基于非线性统一强度理论的地基承载力有不同程度的提高,现有方法中的地基承载力偏于保守;在地震荷载作用下地基承载力有一定程度的降低。
For most of the existing algorithms for calculating ultimate bearing capacity of jointed rock masses based on Hoek-Brown strength theory,they have not considered the effect of intermediate principal stress;so these algorithms cannot make full use of rock strength.Combining the advantage of nonlinear unified strength criterion and Hoek-Brown nonlinear failure criterion,and taking the impacts of earthquake loads into account,a new algorithm for computing the bearing capacity of foundation based on critical sliding field theory is proposed.The experiment results demonstrate that the bearing capacity of the foundation is enhanced based on nonlinear unified strength theory;the existing methods of bearing capacity of foundation are relatively conservative,so the bearing capacity of foundation will reduce under the effects of earthquake loads.
For most of the existing algorithms for calculating ultimate bearing capacity of jointed rock masses based on Hoek-Brown strength theory,they have not considered the effect of intermediate principal stress;so these algorithms cannot make full use of rock strength.Combining the advantage of nonlinear unified strength criterion and Hoek-Brown nonlinear failure criterion,and taking the impacts of earthquake loads into account,a new algorithm for computing the bearing capacity of foundation based on critical sliding field theory is proposed.The experiment results demonstrate that the bearing capacity of the foundation is enhanced based on nonlinear unified strength theory;the existing methods of bearing capacity of foundation are relatively conservative,so the bearing capacity of foundation will reduce under the effects of earthquake loads.
引文
[1]HOEK E,BROWN E T.Undersround exeavations in roek[M].London:Instiyution of Mining and Metallurgy,1980.
[2]HOEK E.Strength of jointed rock mass[J].Getechnique,1983,33(3):187-223.
[3]HOEK E.Strength of rock and rock mass[J].ISRM News Journal,1994,2(2):4-16.
[4]许东俊,耿乃光.岩石强度随中间主应力变化规律[J].固体力学学报,1985,1(1):72-80.XU Dong-jun,GENG Nai-guang.The variation law of rock strength with increase of intermediate principal stress[J].Acta Mechanica Solida Sinica,1985,1(1):72-80.
[5]方开泽.土的破坏准则——考虑中主应力的影响[J].滑动水利学院学报,1986,14(2):70-88.FANG Kai-ze.Failure criterion of soil—Influence of intermediate principal stress[J].Journal of East China Technical University of Water Resources,1986,14(2):70-88.
[6]俞茂宏,何丽南,宋凌宇.双剪应力强度理论及其推广[J].中国科学(A辑),1985,28(12):1113-1120.YU Mao-hong,HE Li-nan,Song Ling-yu.Twin shear stress strength theory with its generalizations[J].Journal of Science in China(A),1985,28(12):1113-1120.
[7]YU M H,HE L N.A new model snd theory on yield and failure of materials under complexstress state[C]//Mechanical Behaviour of Materials.Oxford:Pergamon Press,1991:851-856.
[8]俞茂宏.岩土类材料的统一强度及其应用[J].岩土工程学报,1994,16(2):1-9.YU Mao-hong.Unified strength theory for geomaterials and its applications[J].Chinese Journal of Geotechnical Engineering,1994,16(2):1-9.
[9]俞茂宏,廖红建,张永强.本构模型从单剪到三剪到双剪到统一[J].岩石力学与工程学报,1998,17(增刊):739-743.YU Mao-hong,LIAO Hong-jian,ZHANG Yong-qiang.From single-shear to tri-shear to twin to unification[J].Chinese Journal of Rock Mechanics and Engineering,1998,17(Supp.):739-743.
[10]俞茂宏,昝月稳,范文.20世纪岩石强度理论的发展[J].岩石力学与工程学报,2000,19(5):545-550.YU Mao-hong,ZAN Yue-wen,FAN Wen.Advances in strength theory of rock in 20th century[J].Chinese Journal of Rock Mechanics and Engineering,2000,19(5):545-550.
[11]昝月稳,俞茂宏,王思敬.岩石非线性统一强度准则[J].岩石力学与工程学报,2002,21(10):1435-1441.ZAN Yue-wen,YU Mao-hong,WANG Si-jing.Nonlinear unified stringth criterion of rock[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(10):1435-1441.
[12]范文,林永亮,秦玉虎.基于统一强度理论的地基临界何在公式[J].长安大学学报(地球科学版),2003,25(9):48-51.FAN Wen,LIN Yong-liang,QIN Yu-hu.Formula for critical load of foundation based on the unified strength theory[J].Journal of Chang’an University(Earth Science Edition),2003,25(9):48-51.
[13]周小平,黄煜镔,丁志诚.考虑中间主应力的太沙基地基极限承载力公式[J].岩石力学与工程学报,2002,21(10):1554-1556.ZHOU Xiao-ping,HUANG Yu-bin,DING Zhi-cheng.Influence of intermediate principal stress on the formula of Terzaghi ultimate bearing capacity of foundations[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(10):1554-1556.
[14]周小平,王建华.考虑中间主应力影响时条形地基极限承载力公式[J].上海交通大学学报,2003,37(4):552-555.ZHOU Xiao-ping,WANG Jian-hua.Influence of intermediate principal stress on ultimate bearing capacity of foundations[J].Journal of Shanghai Jiaotong Univerdity,2003,37(4):552-555.
[15]周小平,王建华,张永兴.三向应力状态下条形基础极限承载力计算方法[J].重庆建筑大学学报,2002,24(6):28-32.ZHOU Xiao-ping,WANG Jian-hua,ZHANG Yong-xing.Calculation of the ultimate bearing capacity of foundation under triaxial compressive loading[J].Journal of Chongqing Jiaotong University,2003,37(4):552-555.
[16]刘传林.基于三角条块法的临界滑动场在土压力及地基承载力计算中的应用[D].合肥:合肥工业大学,2010.
[17]师林,朱大勇,沈银斌.基于Hoek-Brown非线性破坏准则的节理岩体地基承载力研究[J].岩石力学与工程学报,(待刊).SHI Lin,ZHU Da-yong,SHEN Yin-bin.Study of ultimate bearing capacity of joined rock masses based on generalized Hoek-Brown nonlinear failure criterion[J].Chinese Journal of Rock Mechanics and Engineering,in press.
[18]LONDE P.Discussion of“Determination of the shear failure envelope in rock masses”[J].ASCE Journal of Geotechnical Engineering,1988,114(3):374-376.
[19]RICHARDS J,ASCE A,ELMS D S,et al.Seismic bearing capacity and settlements of foundations[J].J.Geotech.Engrg.,1990,119(4):662-674.
[20]BUDHU M,AL-Karni A.Seismic bearing capacity of soils[J].Geotechnique,1993,43(1):181-187.
[2]HOEK E.Strength of jointed rock mass[J].Getechnique,1983,33(3):187-223.
[3]HOEK E.Strength of rock and rock mass[J].ISRM News Journal,1994,2(2):4-16.
[4]许东俊,耿乃光.岩石强度随中间主应力变化规律[J].固体力学学报,1985,1(1):72-80.XU Dong-jun,GENG Nai-guang.The variation law of rock strength with increase of intermediate principal stress[J].Acta Mechanica Solida Sinica,1985,1(1):72-80.
[5]方开泽.土的破坏准则——考虑中主应力的影响[J].滑动水利学院学报,1986,14(2):70-88.FANG Kai-ze.Failure criterion of soil—Influence of intermediate principal stress[J].Journal of East China Technical University of Water Resources,1986,14(2):70-88.
[6]俞茂宏,何丽南,宋凌宇.双剪应力强度理论及其推广[J].中国科学(A辑),1985,28(12):1113-1120.YU Mao-hong,HE Li-nan,Song Ling-yu.Twin shear stress strength theory with its generalizations[J].Journal of Science in China(A),1985,28(12):1113-1120.
[7]YU M H,HE L N.A new model snd theory on yield and failure of materials under complexstress state[C]//Mechanical Behaviour of Materials.Oxford:Pergamon Press,1991:851-856.
[8]俞茂宏.岩土类材料的统一强度及其应用[J].岩土工程学报,1994,16(2):1-9.YU Mao-hong.Unified strength theory for geomaterials and its applications[J].Chinese Journal of Geotechnical Engineering,1994,16(2):1-9.
[9]俞茂宏,廖红建,张永强.本构模型从单剪到三剪到双剪到统一[J].岩石力学与工程学报,1998,17(增刊):739-743.YU Mao-hong,LIAO Hong-jian,ZHANG Yong-qiang.From single-shear to tri-shear to twin to unification[J].Chinese Journal of Rock Mechanics and Engineering,1998,17(Supp.):739-743.
[10]俞茂宏,昝月稳,范文.20世纪岩石强度理论的发展[J].岩石力学与工程学报,2000,19(5):545-550.YU Mao-hong,ZAN Yue-wen,FAN Wen.Advances in strength theory of rock in 20th century[J].Chinese Journal of Rock Mechanics and Engineering,2000,19(5):545-550.
[11]昝月稳,俞茂宏,王思敬.岩石非线性统一强度准则[J].岩石力学与工程学报,2002,21(10):1435-1441.ZAN Yue-wen,YU Mao-hong,WANG Si-jing.Nonlinear unified stringth criterion of rock[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(10):1435-1441.
[12]范文,林永亮,秦玉虎.基于统一强度理论的地基临界何在公式[J].长安大学学报(地球科学版),2003,25(9):48-51.FAN Wen,LIN Yong-liang,QIN Yu-hu.Formula for critical load of foundation based on the unified strength theory[J].Journal of Chang’an University(Earth Science Edition),2003,25(9):48-51.
[13]周小平,黄煜镔,丁志诚.考虑中间主应力的太沙基地基极限承载力公式[J].岩石力学与工程学报,2002,21(10):1554-1556.ZHOU Xiao-ping,HUANG Yu-bin,DING Zhi-cheng.Influence of intermediate principal stress on the formula of Terzaghi ultimate bearing capacity of foundations[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(10):1554-1556.
[14]周小平,王建华.考虑中间主应力影响时条形地基极限承载力公式[J].上海交通大学学报,2003,37(4):552-555.ZHOU Xiao-ping,WANG Jian-hua.Influence of intermediate principal stress on ultimate bearing capacity of foundations[J].Journal of Shanghai Jiaotong Univerdity,2003,37(4):552-555.
[15]周小平,王建华,张永兴.三向应力状态下条形基础极限承载力计算方法[J].重庆建筑大学学报,2002,24(6):28-32.ZHOU Xiao-ping,WANG Jian-hua,ZHANG Yong-xing.Calculation of the ultimate bearing capacity of foundation under triaxial compressive loading[J].Journal of Chongqing Jiaotong University,2003,37(4):552-555.
[16]刘传林.基于三角条块法的临界滑动场在土压力及地基承载力计算中的应用[D].合肥:合肥工业大学,2010.
[17]师林,朱大勇,沈银斌.基于Hoek-Brown非线性破坏准则的节理岩体地基承载力研究[J].岩石力学与工程学报,(待刊).SHI Lin,ZHU Da-yong,SHEN Yin-bin.Study of ultimate bearing capacity of joined rock masses based on generalized Hoek-Brown nonlinear failure criterion[J].Chinese Journal of Rock Mechanics and Engineering,in press.
[18]LONDE P.Discussion of“Determination of the shear failure envelope in rock masses”[J].ASCE Journal of Geotechnical Engineering,1988,114(3):374-376.
[19]RICHARDS J,ASCE A,ELMS D S,et al.Seismic bearing capacity and settlements of foundations[J].J.Geotech.Engrg.,1990,119(4):662-674.
[20]BUDHU M,AL-Karni A.Seismic bearing capacity of soils[J].Geotechnique,1993,43(1):181-187.
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