变形加固理论及其在高拱坝工程中的应用
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摘要
高拱坝结构整体稳定性评价、高拱坝坝踵开裂稳定评价、高拱坝坝趾加固设计、高拱坝基础断层的加固处理及岩体力学参数取值问题为高拱坝设计中的关键问题。论文在完善变形加固理论的理论基础之上,采用变形加固理论从变形稳定的角度分别对上述几个问题进行相关的研究工作。论文的主要工作和创新成果如下:
     1.按照一般的弹塑性理论重新构建了弹塑性结构变形加固理论的理论框架。提出了结构失稳的明确定义,建立了此定义的严格的集合逻辑表述,并以此定义为出发点,推导并证明了变形加固理论的理论基础—最小塑性余能原理。推导表明,最小塑性余能原理是结构平衡条件、变形协调条件和本构关系的集中体现。
     2.运用变形加固理论,采用工程类比的方法评价高拱坝的整体稳定性。变形加固理论的分析方法是在给定整体安全系数的前提下推求维系结构稳定的不平衡力,塑性余能为结构不平衡力的标量范数,其大小可以反映结构偏离稳定状态的距离,故可评价结构的整体稳定性。从拱坝超载加固的角度评价高拱坝的整体稳定性,建立了高拱坝超载系数K与塑性余能ΔE间的K ?ΔE关系曲线,并以此曲线对国内部分高拱坝的整体稳定性进行评价。
     3.运用变形加固理论对拱坝坝趾加固设计、断层加固设计及坝踵开裂评价进行研究,实现了坝趾、断层加固力的量化计算及坝踵开裂程度的量化评价。对坝趾加固分析,提出了坝趾加固力的统计方法及便于锚固施工需要的加固力调整方法;对断层加固,根据断层不平衡力的分布和方向,对加固措施的设计和分析进行指导;对坝踵开裂评价,以不平衡力的大小、分布范围和方向评价坝踵可能的开裂程度、开裂范围及开裂模式。
     4.提出了复合介质强度参数的塑性余能等效方法。推导了复合介质塑性余能的表达式,揭示了复合介质强度参数与变形参数之间的相关性,研究了材料不同配比下复合介质强度参数的变化规律,通过数值计算说明了塑性余能等效方法用于确定复合介质强度参数的可行性。
For high arch dams, the key problems include monolithic stability evaluation, cracking evaluation of dam-heel, reinforcement design of dam-toe and faults of dam foundation, and the value of mechanics parameter of rock mass. In this dissertation deformation reinforcement theory is improved on the theoretical framework, and then used in the analysis of above problems. The main research works and innovative achievements include:
     1.The theoretical framework of deformation reinforcement theory is rebuilt according to the general elasto-plastic theory. The clear definition of structural instability is presented. Based on this definition, the strict expression of logic set is built, and then the theoretical foundation of deformation reinforcement theory, minimum plastic complementary energy principle, is deduced and proved. The deduction shows that the minimum plastic complementary energy principle is centralized reflection of equilibrium condition, deformation compatibility condition and constitutive relation.
     2.The monolithic stability of high arch dams is evaluated using the deformation reinforcement theory. The analytical method of deformation reinforcement theory is to estimate the unbalanced force to maintain the structural stability on the premise of the given monolithic safety factor. Plastic complementary energy is the scalar norm of unbalanced force and its magnitude reflects the distance which the structure deviate from the stability state, so plastic complementary can be used to evaluate the structural monolithic stability. The monolithic stability of high arch dams is evaluated from the angle of overload and reinforcement, K ?ΔE relation curve between overload coefficient K and plastic complementary energyΔE is established and is used to evaluate the monolithic stability of high arch dams.
     3.Deformation reinforcement theory is used to guide the reinforcement design of dam-toe and faults and to evaluate the cracking of dam-heel. The quantitative calculation of reinforcement force of dam-toe and faults and quantitative evaluation of dam-heel are realized. For the reinforcement of dam-toe, the statistical method of reinforcement force of dam-toe is presented, and the adjusted method of reinforcement force to suitable for the bolting construction is proposed, too. For reinforcement of faults, the scope and direction of unbalanced force of faults are used to guide the design and analysis of reinforcement measure; For the evaluation of dam-heel cracking, the magnitude, distribution scope, and direction of unbalanced force are used to evaluate the possible cracking extend, cracking scope and cracking mode of dam-heel.
     4.Complementary energy equivalent method is presented and used to determine the strength parameters of complex. By means of expression deduction of complementary energy of complex, the correlation between deformation parameters and strength parameters of complex is shown theoretically. The change law of strength parameters is researched under the different ratio of materials of complex. Numerical computation shows that the complementary energy equivalent method is feasible to determine the strength parameter of complex.
引文
[1]周维垣,杨若琼,杨强.拱坝与地基整体失稳机理及分析方法研究.国家“九五”重点科技攻关项目子题报告.清华大学(北京), 2000.
    [2]许平等.小湾拱坝运行期温度应力的仿真计算及柯尔布兰拱坝裂缝成因分析.国家“九五”重点科技攻关项目子题报告.中国水利水电科学研究院(北京), 2000.
    [3]周维垣,杨若琼,剡公瑞.大坝整体稳定分析系统.岩石力学与工程学报, 1997, 16(5), 424-430.
    [4]汝乃华,姜忠胜.大坝事故与安全.北京:中国水利水电出版社, 1995.
    [5]李瓒,陈飞,郑建波等.特高拱坝枢纽分析与重点问题研究.北京:中国电力出版社, 2004.
    [6]程良奎,范景伦,韩君,许建平.岩土锚固.北京:中国建筑工业出版社, 2003.
    [7]杨延毅.加锚层状岩体的变形破坏过程及加固效果分析模型.岩石力学与工程学报, 1994, 13(4):309-317.
    [8]杨送礼,徐卫亚,朱焕春.锚杆在节理中的加固作用.岩土力学, 2002, 23(5):604-607.
    [9]杨双锁,张百胜.锚杆对岩土体作用的力学本质.岩土力学, 2003, 24, Supp:279-282.
    [10]葛修润,刘建武.加锚节理面抗剪性能研究.岩土工程学报, 1988, 10(1):8-19
    [11]顾金才,郑全平,沈俊.预应力锚索对均质岩体的加固效应模拟试验研究.华北水利水电学院学报, 1994, NO.3.
    [12]金长宇,马震岳,邵龙潭,张运良.锚固支护软弱围岩的流变分析.水利发电学报, 2006,25(5):88-91.
    [13]李术才,王刚,王书刚等.加锚断续节理岩体断裂损伤模型在硐室开挖与支护中的应用.岩石力学与工程学报, 2006, 25(8):1582-1590.
    [14]李术才,朱维申,加锚节理岩体断裂损伤模型及其应用.水利学报, 1998, 8: 52-56.
    [15]张强勇,李术才等.裂隙岩体加索支护模型及其工程应用.岩土力学, 2004, 25(9): 1465-1468.
    [16] Lutz L, Gergeley P. Mechanics of band and slip of deformed bars in concrete. Journal of American Concrete Institute.1967, 64(11): 711-721.
    [17] Goto Y. Cracks formed in concrete around deformed tension bars. Journal of American Concrete Institute, 1971, 68(4): 244-251.
    [18] Jarred D J J, Haberfield C M. Tenden grout interface performance in grouted anchors. In: Grouted Anchorages and Anchored Structures, London: Thomas Telford, 1997.
    [19] B.Stillborg. Experimental investigation of steel cables for rock reinforcement in hard rock[Doctoral thesis]. Sweden: Lulea University of Technology, 1984.
    [20] Hyett A J, Bawden W F, Reichert R D. The effect of rock mass confinement on the bond strength of fully grouted cable bolts. Int. J, Rock Mech Min Sci & Geomech Abstr Min Sci. 1992, 29(5):503-524.
    [21]柴军瑞.高拱坝坝肩颜体动力稳定性分析综述.辽宁工程技术大学学报(自然科学版), 2001, 20: 502-504.
    [22]陈在铁,任青文.高坝与坝基稳定性研究方法分析.华东船舶工业学院学报(自然科学版), 2005, 19: 15-20.
    [23]程浩,陈鹏,曾雄辉.向家坝大坝抗滑稳定分析及处理方案研究.湖北水力发电, 2004, 3:26-30.
    [24]吴事贵,张建海.断层f2对锦屏左岸坝坡静力稳定性的影响.水电站设计, 2004, 20: 15-18.
    [25]李瓒,龙云霄.重力坝、拱坝基础岩体抗滑稳定分析中的一些问题的探讨.水利学报, 2000, 11: 55-59.
    [26]王瑞骏.重力坝深层抗滑稳定性的空间极限平衡分析.西北水资源与水工程, 1996, 7(4):1-5.
    [27] Chen R H, Chameau J L. Three-dimensional limit equilibrium analysis of slopes. Geotechnique, 1982, 32(3):31-40.
    [28] Hutchinson J N, Sarma S K. Discussion on three-dimensional limit equilibrium analysis of slopes. Geotechnique, 1985, 35(6):215-216.
    [29] Xing Z. Three-dimensional stability analysis of concave slopes in plan view. J. Geotech. Engng., ASCE, 1988,114(14):658-671.
    [30] Hungr O. An extension of Bishop's simplified method of slope stability analysis to three dimensions. Geotechnique, 1987, 37(1):113-117.
    [31] Lam L, Fredlund D G. A general limit equilibrium model for three-dimensional slope stability analysis. Can. Geotech. J., 1993, 30(4):905-919.
    [32] Chen Zuyu, Wang Xiaogang, Haberfield C, et al. A three-dimensional slope stability method using the upper bound theorem, part I: theory and methods. Int. J. Rock Mech Min Sci & Geomech Abstr, 2001, 38(3):369-378.
    [33] Chen Zuyu, Wang Jian, Wang Yujie, et al. A three-dimensional slope stability method using the upper bound theorem, part II: numerical approaches. Applications and Extensions, 2001, 38(3):379-397.
    [34]潘家铮.建筑物抗滑稳定分析和滑坡分析.北京:水利出版社, 1980.
    [35]陈祖煜.建筑物抗滑稳定分析中“潘家铮最大最小原理”的证明.清华大学学报(自然科学版), 1998, 38(1):1-4
    [36]徐卫亚,周家文,石崇,郑文棠.极限平衡分析中加固力对岩质边坡稳定性的影响.水力学报, 2007, 38(9):1056-1064.
    [37] Shi Genhua, Goodman R E. Block Theory and Its Application to RockEngineering. New York: Prentice Hall, 1985
    [38]刘锦华,吕祖珩.块体理论在工程岩体稳定分析中的应用.北京:水利电力出版社, 1988.
    [39]张清,莫勖涛.利用关键块体理论估计岩石隧道的塌方部位.岩石力学与工程学报, 1989, 8(2): 163-168.
    [40]陈斗勇.采动斜坡稳定性的块体理论研究.水文地质工程地质, 1996, (2): 28-32.
    [41]郭映忠.岩质边坡设计坡角和锚固方案的确定.工程地质学报, 1996, 4(2): 1-6.
    [42]孙树林,易小兵.块体理论在岩质边坡设计中的应用介绍.人民长江, 1999, (3): 29-31.
    [43]黄正加,邬爱清,盛谦.块体理论在三峡工程中的应用.岩石力学与工程学报, 2001, 20(5): 648-652.
    [44]于青春,薛果夫,陈德基.裂隙岩体一般块体理论.北京:中国水利水电出版社, 2007.
    [45] Shi Genhua. Single and multiple block limit equilibrium of key blockmethod and discontinuous deformation analysis. In: Hatzon Y H ed. Proc. of the Fifth International Conference on Analysis of Discontinuous Deformation, Rotterdam: A. A. Balkema, 2002, 3-43.
    [46]邬爱清,朱虹,李信广.一种考虑块体侧面一般水压分布模式下的块体稳定性计算方法.岩石力学与工程学报, 2000, 19(增): 936-940.
    [47]邬爱清,周火明,任放.岩体三维网络模拟技术及其在三峡工程中的应用.长江科学院院报, 1998, 15(6): 15-18.
    [48]邬爱清,任放,郭玉.节理岩体开挖面上块体随机分布及锚固方式研究.长江科学院院报, 1991, 8(4): 27-33.
    [49] Shi Genhua, Goodman Richard E. The key blocks of unrolled joint traces in developed maps of tunnel walls. International Journal for Numerical and Analytical Methods in Geomechanics, 1989, 13(1): 131-158.
    [50]陈胜宏.高坝复杂岩石地基及岩石高边坡的稳定分析.北京:中国水利水电出版社, 2001.
    [51] SD145-85,混凝土拱坝设计规范S.
    [52]李瓒,陈兴华,郑建波等.混凝土拱坝设计.北京:中国电力出版社, 2000.
    [53]朱伯芳,董福品.高拱坝应力控制标准研究.水力发电, 2001, 8: 57-59.
    [54] P.Londe. The Malpasset Dam Failure, Proc.Int. Workshop on Dam Failure. Elsevier, 1987, 295-325.
    [55]任青文,王柏乐.关于拱坝柔度系数的讨论.河海大学学报:自然科学版, 2003,31(1) :1-4
    [56]朱伯芳.混凝土拱坝的应力水平系数与安全水平系数.高拱坝设计与计算分析高级研讨班论文集(国内专家文集),北京:清华大学国家高坝大型结构实验室. 2000, 9:157-169
    [57]张楚汉.高拱坝的破损机理与安全分析,高拱坝设计与计算分析高级研讨班论文集(国内专家文集),北京:清华大学国家高坝大型结构实验室. 2000, 9:178-196.
    [58]李朝国,陆金池.综合法与超载法在沙牌RCC拱坝坝肩稳定分析中的应用.四川联合大学学报, 1997, 1(3), 64-71
    [59]陈进,黄薇.混凝土重力坝抗滑稳定安全系数与安全度探讨.长江科学院院报, 1995(3), 1-7.
    [60]吴世伟,张思俊等.拱坝失效模式与可靠度.河海大学学报. 1992, 20(2), 88-95
    [61]杨令强,练继建.随机有限元与最大熵法联合求混凝土拱坝可靠度.水利水运工程学报, 2003 2 :24-28.
    [62]陈刚,张林.基于人工神经网络的沙牌RCC拱坝可靠度分析.四川大学学报, 2002 ,34 4 :34-37.
    [63]武清玺,吕泰仁.拱坝坝肩整体稳定静力动力可靠度分析.岩土工程学报, 1995, 17(3), 51-59.
    [64]程心恕,封伯昊.拱坝可靠度分析方法探讨.福州大学学报, 1997, 25(5):78-83.
    [65] LIANG R Y, NUSIER O K, MALKAWI A H. A reliability based approach for evaluating the slope stability of embankment dams. Engineering Geology, 1999(54): 271-285.
    [66]杨海霞.基于分载法的拱坝可靠度分析.河海大学学报:自然科学版. 2000, 28(6): 23-26.
    [67]卓家寿,章青.不连续介质力学问题的界面元法.北京:科学出版社, 2000.
    [68]殷有泉.非线性有限元基础.北京:北京大学出板社, 2007.
    [69]孙恭尧,殷有泉,钱之光.混凝土重力坝承载能力的分析研究.水利学报, 2001, 4:15-20.
    [70]邵国建,卓家寿,章青.岩体稳定性分析与评判准则研究.岩石力学与工程学报, 2003, 22(5), 691-696.
    [71]何平,赵子都.突变理论及其应用.大连:大连理工大学出版社, 1989
    [72] V. I. Arnod. CATASTROPHE THEORY.北京:高等教育出版社, 1990.
    [73]顾冲时,吴中如.用突变理论分析大坝及岩基稳定性的探讨.水利学报,1998, 9:48-51.
    [74] Linsbaurer H N, Ingraffea A R. Simulation of cracking in large arch dam (Part 1). J of Struct Eng, 1989, 115(7):1599-1615.
    [75] Linsbaurer H N, Ingraffea A R. Simulation of cracking in large arch dam (Part 2). J of Struct Eng, 1989, 115(7):1616-1630.
    [76]夏颂佑等. Kolnbrein拱坝坝踵开裂机理探讨.水电站设计, 1999, 15(1):26-33.
    [77]李宗利,任青文.混凝土拱坝坝踵开裂研究综述.水利水电科技进展. 2004, 6(3):62-65.
    [78] Londe P. The Malpasset Dam Failure. Proc. Int. Worksop on Dam Failure, Elsevier, 1987, 295-325.
    [79] Tinawi R, Guizani L. Formulationof hydrodynamic pressures in cracks due to earthquakes in concrete dams. Earthquake Eng and Struct Dyn, 1993, 23(7):699-716.
    [80] Bruhwiler E, Saouma V. Water fracture interaction in concrete. Part I: fracture properties .ACI Mat J, 1995, 92(3):296-303.
    [81] Bruhwiler E, Saouma V. Waterfracture interactionin concrete, part II: hydrostatic pressure cracks. ACI Mat J, 1995, 92(4):383-390.
    [82] Volker V, Saouma V. Water pressure in propagating concrete cracks. J of Struct Eng, 2000, 126(2):235-242.
    [83]杨强,肖平,周维垣.坝踵区岩体非均质性对重力坝坝踵应力的影响.水力发电学报, 2007, 26(3):34-38.
    [84]杨强,刘福深,周维垣.基于直接内力法的拱坝建基面等效应力分析.水力发电学报, 2006, 25(1):19-23.
    [85]杨强,吴浩,周维垣.基于h-型自适应有限元的大坝应力取值研究.水利学报, 2005,3:321-327.
    [86]周维垣.拱坝非线性分析与设计.高拱坝设计与计算分析高级研讨班论文集(国内专家文集),北京:清华大学国家高坝大型结构实验室, 2000, 9:201-224.
    [87]陈惠发.土木工程材料的本构方程.武汉:华中科技大学出版社, 2001, 5.
    [88] Ngo D, Scordelis A C. Finite element analysis reinforced concrete beams. Journal of the American Concrete Institute, 1967, 67:152-163.
    [89] Dugdale D S. Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Soild, 1960, 8:100-104.
    [90] Berenblatthe G I. The formation of equilibrium cracks during brittle fracture. General ideas and hypothesis. Axially-symmetric cracks. Prikl. Matem. I mekham 1959, 23:434-444.
    [91] Needleman A. A continuum model for void nucleation by inclusion debonding. Journal of Applied Mechanics, 1987, 54(3):525-531.
    [92] Hillerborg, Modeer M, Petersson P E, Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and Concrete Research, 1976, 6(6):773-782.
    [93] Carorinteri A, Valents S V, Ferrara G. Experimental and numerical fracture modeling of a gravity dam. Fracture Mechanics of Concrete Structures, Bazant Z P ed., Elsevier AppliedScience, 1992, 351-360.
    [94] Feltrin G, Wepf D, Bachmann H. Seismic cracking of concrete gravity dams. Dam Engineering, 1990, 4(1):279-289.
    [95] Rashid Y R. Analysis of prestressed concrete pressure vessels. Nuclear Engineering and Design, 1968, 7:334-344.
    [96] Bazant Z P, Oh B H. Crack band theory for fracture of concrete. Material and constructions, 1983, 16(93):155-177.
    [97] Wang Guanglun, Pekau O A, Zhang Chuhan, Wang Shaomin. Seisimic fracture analysis of concrete gravity dams based on nonlinear fracture mechanics. Engineering Fracture mechanics, 2000, 65(1):67-87.
    [98] Mirzabozorg H, Ghaeniam M. Non-linear behavior of mass concrete in three-dimendional problems using a smeared crack approach. Earthquake Engng Struct. Dyn., 2005,34(3):247-269.
    [99]周元德.混凝土非线性断裂力学模型与高拱坝开裂分析研究: [博士学位论文].北京:清华大学, 2004.
    [100] Mi Y, Aliabadi, M H. Dual boundary element method for three-dimension fracture mechanics analysis.Engng Analysis with Boundary element 1, 1992:161-171.
    [101] Cundall P A., Hart R D. Development of generalized 2-D and 3-D distinct element programs for modeling joint rock,Itasca consulting group;U.S.Army Corp of Engineers, Misc.Paper SL 85-1,1985.
    [102] Gerstle W H, Ingraffea A R. Three dimension fatigue crack propagation analysis using the boundary element method, Int. J. Fatigue, 1998, 10:187-192.
    [103]陈胜宏,王劲松,张君禄.水工结构的弹粘塑性自适应有限元分析.水利学报, 1996, 2:68-75。
    [104]陈胜宏,程昭,水工结构分析的p型自适应有限元研究.水利学报, 2001, 11:62-69.
    [105]陈胜宏,汪卫明,徐明溢.小湾高拱坝坝踵开裂的有限元法.水利学报, 2003, 1:66-71.
    [106]陈胜宏,秦卫星,徐青.应变局部化带追踪模拟的复合单元方法与应用.岩石力学与工程学报, 2007, 26(6): 1116-1122.
    [107]邓爱民,张小芹,王向东.混凝土拱坝温度裂缝及扩展稳定性分析.河海大学学报(自然科学版) ,2002, 30(6):91-94.
    [108]傅作新,钱向东,郑雄.拱坝极限承载力的分析方法研究.河海大学学报, 1991, 5:25-31.
    [109]寇晓东,周维垣.应用无单元法近似计算拱坝开裂.水利学报, 2000(10):28-35.
    [110]周维垣,黄岩松,林鹏.三维无单元伽辽金法及其在拱坝分析中的应用.水利学报, 2005, 36(6):644-649.
    [111] Brebbia C A, Walker S. Boundary Element Techniques in Engineering. Butterworth & Co., 1980.
    [112] Crouch S L. Analysis of Stress and Displacements around Underground Excavation: An Application of the Displacement Discontinuity Method. University of Minnesota, 1976.
    [113] Brebbia C A, Telles J C F, Wrobel L C. Boundary Element Techniques. Springer-Verlag, 1984.
    [114]杜庆华等.边界积分方程方法——边界元法力学基础与工程应用.北京:高等教育出版社, 1989.
    [115] Feng L M, Pekau O A, Zhang C H. Cracking analysis of arch dam by 3D boundary element method. J of Struct Eng, 1996, 122(6):691-699.
    [116]黄云,金峰,王光纶,张楚汉.高拱坝上游坝踵裂缝稳定性及其扩展.清华大学学报(自然科学版) , 2002 ,42(4) :555-559.
    [117]唐春安,赵文.岩石破裂全过程分析软件系统RFPA2D.岩石力学与工程学报, 1997, 16(5): 507-508.
    [118]朱万成.混凝土断裂过程的细观数值模型及其应用: [博士学位论文].沈阳:东北大学工程力学系, 2000.
    [119]周元德,陈观福,尹显俊等.用工程类比分析法研究高拱坝坝踵开裂稳定性.水力发电,2002 ,76 (1) :19-26.
    [120]周维垣,胡云进,杨若琼.垫脚加锚-高拱坝加固增稳的高效方法.水力发电学报, 2004, 23(1):5-9.
    [121] Design criteria for concrete arch and gravity dams, United States department of the interior bureau of reclamation, 1977.
    [122]水利水电工程地质勘察规范, GB 50287.
    [123]潘家铮主编.工程地质计算和基础处理.北京:水利电力出版社, 1985.
    [124]胡云明.二滩水电站拱坝基础处理.水电站设计, 1999, 15(2):51-57.
    [125]江涛,徐卫亚,陈宏,吕军.受断层切割影响的拱坝坝肩岩体三维稳定性数值分析及加固措施模拟.岩石力学与工程学报, 2005, 24,增2:5840-5844.
    [126]孙广忠.岩体结构力学.北京:科学出版社, 1988.
    [127] Oda M A. Method for evaluating the representative elementary volume based on joint survey of rock mass. Can. Geotech. J., 1988, 25(3):281-287.
    [128] Ramamurth T. Strength and modulus response of anisotropic rocks. Comprehensive Rock Mech, 1993, 4(1):23-28.
    [129]张林洪.结构面抗剪强度的一种确定方法.岩石力学与工程学报, 2001, 20(1):114-117.
    [130]张振南,茅献彪,郭广礼.松散岩块压实变形模量的试验研究.岩石力学与工程学报, 2003, 22(4):578-581.
    [131] Kim K, Gao H. Probabilistic approaches to estimating variation in the mechanical properities of rock massed. Int., J. Rock Mech Min Sci & Geomech Abstr., 1995, 32(2):111-120.
    [132] Serafim J L, Pereira J P. Consideration of the Geomechanics Classification of Bieniswski. Int. Symp. Eng. Geol. & Underground Construction. Linsbon, Portugal, 1983, 1(II):33-44.
    [133] Palmstrom A. characterizing rock massed by RMI for use of the rock mass index (RMI). Tunn. & Underground Space tech., 1996, 11(2):175-188.
    [134]刘春原,阎澎旺.岩土参数随机场特性及线性预测.岩土工程学报, 2002, 24(5): 588-591.
    [135] Nawari N O, Liang R. Fuzzy-based approach for determination of characteristic values of measured geotechnical parameters. Canidian Geotech. J., 2000, 37:1131-1140.
    [136]徐卫亚,蒋中明.岩土样本力学参数的模糊统计特性研究.岩土力学, 2004, 25(3):342-346.
    [137] Kawamoto T., Ichikawa T., Kyoya T. Deformation and fracturing behaviour of discontinuous rock mass and damage mechanics theory. Int. J. Num. Anal. Method in Geomech., 1988, 12(1):1-30.
    [138]周维垣,杨延毅.节理岩体力学参数取值研究.岩土工程学报, 1992, 14(5):1-11.
    [139]朱维申,王平.节理岩体的等效连续模型与工程应用.岩土工程学报, 1992, 14(2):1-11.
    [140]何满潮,薛延河,彭延飞.工程岩体力学参数确定方法的研究.岩石力学与工程学报, 2001, 20(2):225-229.
    [141]汪小刚,陈祖煜,孙文松.应用蒙特卡罗法确定节理岩体的连通率和综合抗剪强度指标.岩石力学与工程学报, 1992, 11(4): 345-355.
    [142]杜景灿,陈祖煜,弥宏亮等.三维条件下应用遗传算法与Monte-Carlo法确定节理岩体的综合抗剪强度.岩石力学与工程学报, 2004, 23(13):2157-2163.
    [143]杨强,陈新,周维垣.三维弹塑性计算中的不平衡力分析.岩土工程学报, 2004, 26: 323-326.
    [144]杨强,陈新,周维垣.岩土工程加固分析的弹塑性力学基础.岩土力学, 2005, 26, 553-557.
    [145]杨强,薛利军,王仁坤,赵文光.岩体变形加固理论及非平衡态弹塑性力学.岩石力学与工程学报, 2005, 24(20):3704-3712.
    [146]卓家寿.弹塑性力学中的广义变分原理.北京:中国水利水电出版社, 2002.
    [147] Lubliner, J. Plasticity Theory. Macmillan Publishing Company. New York, 1990.
    [148]杨强,陈新,周维垣.基于D-P准则的三维弹塑性有限元增量计算的有效算法.岩土工程学报, 2002, 24, 16-20.
    [149]杨强,陈新,周维垣,杨若琼.推求拱坝极限承载力的有效算法.水利学报, 2002, 11, 60-65.
    [150]杨强,杨晓君,陈新.基于D-P准则的理想弹塑性本构关系积分研究.工程力学, 2005, 22, 15-19.
    [151]杨强,朱玲,薛利军.基于三维多重网格法的极限平衡法在锦屏高边坡稳定性分析中的应用.岩石力学与工程学报, 2005, Supp. 2:5313-5318.
    [152]中华人民共和国电力行业标准DL/T 5195-2004:《水工隧洞设计规范》(2004).主编单位:成都勘测设计研究院.中国电力出版社,北京.
    [153]周维垣,杨若琼.金沙江溪洛渡水电站双曲拱坝三维地质力学模型试验研究(优化方案XLD-03体型未处理).清华大学水利水电工程系工程报告, 2004.
    [154]周维垣,杨若琼.李家峡拱坝加固左坝肩效果分析计算.清华大学水利水电工程系工程报告, 1998.
    [155]杨强,周维垣,杨若琼.铜头水电站大坝安全首次定期检查--混凝土拱坝综合分析报告.清华大学水利水电工程系工程报告, 2006.
    [156]杨强,周维垣,杨若琼.金沙江溪洛渡水电站大坝底部高程及错动带部位坝趾锚索加固方案分析.清华大学水利水电工程系工程报告, 2007.
    [157]黄克智,黄永刚.固体本构关系.北京:清华大学出版社, 1999.