高堆石坝筑坝材料宏细观变形分析研究进展
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摘要
随着我国水电事业的快速发展,高堆石坝的建设已达200～300 m级.超过200 m级高堆石坝将表现出与以往明显不同的变形特性,其变形控制是工程建设的难点之一.由于堆石体等筑坝颗粒材料宏观上连续,而细观上离散,易发生颗粒破碎,其本构模型与变形机理尚未明确,因此需要从宏观和细观两个层面对其应力变形特性进行研究.本文总结了近年来高堆石坝及筑坝堆石体在宏细观变形方面的研究进展,着重对高堆石坝宏观本构研究及参数率定、筑坝堆石体细观力学研究方法、细观变形机制以及堆石料缩尺效应等方面做了介绍,并对后续高堆石坝建设过程中筑坝材料的变形控制的研究趋势进行了展望.
With the quick development of the hydrolic engineering in China, the height of the rockfill dams reaches the level of 200–300 m.High rockfill dams over 200 m behave differently in deformation mode compared to previous lower dams. Due to the particular features of rockfill materials in macroscopic and mesoscopic scales, such as continuity, discrete and crushability, the constitutive models and the deformation mechanisms for rockfills are not yet clear. It is necessary to investigate the mechanical behaviors of rockfill materials from macro-to meso-scale. This paper makes a review on macro-and mesoscopic analysis of rockfill dams and rockfill materials in recent years. The constituitive modeling and the parameter calibration of rockfill dams, the mesoscopic method,deformation mechanisms and the scale effect for rockfill materials are discussed. Besides, the further investigation trends of deformation analysis and control methods in rockfill dams are shown.
With the quick development of the hydrolic engineering in China, the height of the rockfill dams reaches the level of 200–300 m.High rockfill dams over 200 m behave differently in deformation mode compared to previous lower dams. Due to the particular features of rockfill materials in macroscopic and mesoscopic scales, such as continuity, discrete and crushability, the constitutive models and the deformation mechanisms for rockfills are not yet clear. It is necessary to investigate the mechanical behaviors of rockfill materials from macro-to meso-scale. This paper makes a review on macro-and mesoscopic analysis of rockfill dams and rockfill materials in recent years. The constituitive modeling and the parameter calibration of rockfill dams, the mesoscopic method,deformation mechanisms and the scale effect for rockfill materials are discussed. Besides, the further investigation trends of deformation analysis and control methods in rockfill dams are shown.
引文
1水利改革发展“十三五”规划(公开稿).2016.http://www.mwr.gov.cn/ztpd/2016ztbd/qgslsswgh/ghqw/201612/P020161227521013284744.pdf
2徐泽平,邓刚.高面板堆石坝的技术进展及超高面板堆石坝关键技术问题探讨.水利学报,2008,39:1226-1234
3徐泽平.当代高堆石坝建设的关键技术及岩土工程问题.岩土工程学报,2011,33:27-33
4马洪琪,曹克明.超高面板坝的关键技术问题.中国工程科学,2007,9:4-10
5张宗亮,贾延安,张丙印.复杂应力路径下堆石体本构模型比较验证.岩土力学,2008,29:1147-1151
6 Einav I.Breakage mechanics-Part I:Theory.J Mech Phys Solids,2007,55:1274-1297
7尹振宇,许强,胡伟.考虑颗粒破碎效应的粒状材料本构研究:进展及发展.岩土工程学报,2012,34:2170-2180
8 Hu W,Yin Z Y,Dano C,et al.A constitutive model for granular materials considering grain breakage.Sci China Tech Sci,2011,54:2188-2196
9刘恩龙,陈生水,李国英,等.堆石料的临界状态与考虑颗粒破碎的本构模型.岩土力学,2011,32:148-154
10 Spiers C J,Schutjens P M T M,Brzesowsky R H,et al.Experimental determination of constitutive parameters governing creep of rocksalt by pressure solution.Geol Soc London Spec Publ,1990,54:215-227
11李国英,米占宽,傅华,等.混凝土面板堆石坝堆石料流变特性试验研究.岩土力学,2004,25:1712-1716
12周伟,常晓林.高混凝土面板堆石坝流变的三维有限元数值模拟.岩土力学,2006,27:1389-1392
13周伟,胡颖,杨启贵,等.高混凝土面板堆石坝流变机理及长期变形预测.水利学报,2007,S1:100-105
14张丙印,袁会娜,孙逊.糯扎渡高心墙堆石坝心墙砾石土料变形参数反演分析.水力发电学报,2005,24:18-23
15周伟,徐干,常晓林,等.堆石体流变本构模型参数的智能反演.水利学报,2007,38:389-394
16朱晟.水布垭面板堆石坝施工与运行性状反演研究.岩石力学与工程学报,2011,30:3689-3695
17张社荣,何辉.改进的遗传算法在堆石体参数反演中的应用.岩土力学,2005,26:182-186
18杨荷,周伟,马刚,等.基于响应面法的高堆石坝瞬变-流变参数反演方法.岩土力学,2016,37:1697-1705
19 Zhou W,Li S L,Ma G,et al.Parameters inversion of high central core rockfill dams based on a novel genetic algorithm.Sci China Tech Sci,2016,59:783-794
20温少雄,周伟,李少林,等.基于NSGA-Ⅱ算法的堆石坝多目标参数反演方法.水力发电学报,2017,36:86-95
21常晓林,喻胜春,马刚,等.基于粒子迁徙的粒群优化算法及其在岩土工程中的应用.岩土力学,2011,32:1077-1082
22 Gang M,Wei Z,Xiaolin C.A novel particle swarm optimization algorithm based on particle migration.Appl Math Comp,2012,218:6620-6626
23贾宇峰,朱茂林,迟世春.基于变异粒子群算法的大坝土料流变参数反演--以观音岩混合坝为例.人民长江,2017,48:73-78
24马刚,常晓林,周伟,等.高堆石坝瞬变-流变参数三维全过程联合反演方法及变形预测.岩土力学,2012,33:1889-1895
25 Zhou W,Li S,Zhou Z,et al.Insar observation and numerical modeling of the earth-dam displacement of shuibuya dam(China).Remote Sens,2016,8:877
26 Zhou W,Li S,Zhou Z,et al.Remote sensing of deformation of a high concrete-faced rockfill dam using InSAR:A study of the Shuibuya dam,China.Remote Sens,2016,8:255
27董启朋,姚海林,卢正,等.粗粒土三维细观组构与本构关系研究.岩石力学与工程学报,2014,S2:4334-4342
28刘斯宏,邵东琛,沈超敏,等.一个基于细观结构的粗粒料弹塑性本构模型.岩土工程学报,2017,39:777-783
29孙其诚,金峰,王光谦,等.二维颗粒体系单轴压缩形成的力链结构.物理学报,2010,59:30-37
30 Alshibli K A,Sture S.Shear band formation in plane strain experiments of sand.J Geotech Geoenviron Eng,2000,126:495-503
31 Rechenmacher A L.Grain-scale processes governing shear band initiation and evolution in sands.J Mech Phys Solids,2006,54:22-45
32黄茂松,孙海忠,钱建固.粗粒土的非共轴性及其离散元数值模拟.水利学报,2010,2:173-181
33周伟,谢婷蜓,马刚,等.基于颗粒流程序的真三轴应力状态下堆石体的变形和强度特性研究.岩土力学,2012,33:3006-3012
34罗滔,Ooi E T,Chan A H C.一种模拟堆石料颗粒破碎的离散元-比例边界有限元结合法.岩土力学,2017,38:1463-1471
35常晓林,胡超,马刚,等.模拟岩体失效全过程的连续-非连续变形体离散元方法及应用.岩石力学与工程学报,2011,30:2004-2011
36周伟,常晓林,周创兵,等.堆石体应力变形细观模拟的随机散粒体不连续变形模型及其应用.岩石力学与工程学报,2009,28:491-499
37 Ma G,Zhou W,Chang X L,et al.Combined FEM/DEM modeling of triaxial compression tests for rockfills with polyhedral particles.Int JGeomech,2013,14:04014014
38马刚,周伟,常晓林,等.堆石料缩尺效应的细观机制研究.岩石力学与工程学报,2012,31:2473-2482
39赵婷婷,周伟,常晓林,等.堆石料缩尺方法的分形特性及缩尺效应研究.岩土力学,2015,36:1093-1101
40周伟,常晓林,马刚,等.堆石体缩尺效应研究进展分析.水电与抽水蓄能,2017,1:17-23
41罗先启,葛修润.混凝土面板堆石坝应力应变分析方法研究.北京:中国水利水电出版社,2007
42 Duncan J M,Chang C Y.Nonlinear analysis of stress and strain in soils.J Soil Mech Found Dicision,1970,96:1629-1653
43 Duncan J M.Strength,stress-strain and bulk modulus parameters for finite element analysis of stresses and movements in soil masses.Report No.UCB.GT.80-O1.Berkely:University of California,1980
44高莲士,汪召华,宋文晶.非线性解耦KG模型在高面板堆石坝应力变形分析中的应用.水利学报,2001,10:1-7
45 Lade P V.Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces.Int J Solids Struct,1977,13:1019-1035
46沈珠江.理论土力学.北京:中国水利水电出版社,2000
47张丙印,贾延安,张宗亮.堆石体修正Rowe剪胀方程与南水模型.岩土工程学报,2007,29:1443-1448
48刘萌成,高玉峰,黄晓明.考虑强度非线性的堆石料弹塑性本构模型研究.岩土工程学报,2005,27:294-298
49 Bauer E,Zhu Y.Constitutive modeling of the influence of pressure,density and moisture content on the mechanical behavior of rockfill materials.In:Proccedings of the 4th International Conference on Dam Engineering.Rotterdam,2004.139-146
50明华军,孙开畅,徐小峰,等.考虑颗粒破碎对特征孔隙比影响的堆石体亚塑性本构模型.岩土力学,2016,37:33-40
51花俊杰,常晓林,周伟.高堆石坝流变研究进展.水力发电学报,2010,4:194-199
52沈珠江,左元明.堆石料的流变特性试验研究.In:第6届土力学基础工程学术会议论文集.上海:同济大学出版社,1991.443-446
53李国英,米占宽,傅华,等.混凝土面板堆石坝堆石料流变特性试验研究.岩土力学,2004,25:1712-1716
54程展林,丁红顺.堆石料蠕变特性试验研究.岩土工程学报,2004,4:473-476
55周伟.高混凝土面板堆石坝流变本构模型理论及其应用.博士学位论文.武汉:武汉大学,2004
56王占军,陈生水,傅中志.堆石料流变的黏弹塑性本构模型研究.岩土工程学报,2014,12:2188-2194
57孙国亮,张丙印,张其光,等.不同环境条件下堆石料变形特性的试验研究.岩土力学,2010,31:1413-1419
58张丙印,孙国亮,张宗亮.堆石料的劣化变形和本构模型.岩土工程学报,2010,8:98-103
59 Naylor D J,Knight D J,Ding D.Coupled consolidation analysis of the construction and subsequent performance of Monasavu dam.Comput Geotech,1988,6:95-129
60束一鸣,董爱农.堆石坝变形监控的统计,混合模型与反演分析.河海大学学报,1996,24:1-7
61汪旭,康飞,李俊杰.土石坝地震永久变形参数反演方法研究.岩土力学,2014,1:279-286
62刘振平,迟世春,任宪勇.基于土石坝动力特性的坝料动力参数反演.岩土力学,2014,9:2594-2601
63李守巨,张军,梁金泉,等.基于堆石坝竣工期沉降观测数据的材料非线性本构模型参数反演.岩土力学,2014,S2:61-67
64李少林.基于InSAR时序分析的高面板堆石坝参数反演与变形控制研究.博士学位论文.武汉:武汉大学,2016
65 Massonnet D,Feigl K L.Radar interferometry and its application to changes in the Earth’s surface.Rev Geophys,1998,36:441-500
66 Simons M,Rosen P A.Interferometric synthetic aperture radar geodesy.In:Simons.Treatise on Geophysics,Geodesy.Vol.3.Amsterdam:Elsevier,2007.391-446
67 Rosen P A,Hensley S,Joughin I R,et al.Synthetic aperture radar interferometry.Proc IEEE,2000,88:333-382
68王光谦,孙其诚.颗粒物质及其多尺度结构统计规律.工程力学,2009,26:1-7
69 Munjiza A,Owen D R J,Bicanic N.A combined finite-discrete element method in transient dynamics of fracturing solids.Eng Comput,1995,12:145-174
70 Munjiza A.The Combined Finite-Discrete Element Method.New York:Wiley,2004
71 Rougier E,Munjiza A,John N W M.Numerical comparison of some explicit time integration schemes used in DEM,FEM/DEM and molecular dynamics.Int J Numer Meth Eng,2004,61:856-879
72 Munjiza A,Andrews K R F.NBS contact detection algorithm for bodies of similar size.Int J Numer Meth Eng,1998,43:131-149
73 Munjiza A,Andrews K R F.Penalty function method for combined finite-discrete element systems comprising large number of separate bodies.Int J Numer Meth Eng,2000,49:1377-1396
74 Shi G H,Goodman R E.Discontinuous deformation analysis:A new method for computing stress,strain and sliding of block systems.In:The29th US Symposium on Rock Mechanics(USRMS).Minneapolis,1988
75石根华.数值流形方法与非连续变形分析.裴觉民,译.北京:清华大学出版社,1996
76 Ng T T,Dobry R.Numerical simulations of monotonic and cyclic loading of granular soil.J Geotech Eng,1994,120:388-403
77 Rothenburg L,Bathurst R J.Numerical simulation of idealized granular assemblies with plane elliptical particles.Comput Geotech,1991,11:315-329
78 Azéma E,Radja?F,Peyroux R,et al.Force transmission in a packing of pentagonal particles.Phys Rev E,2007,76:011301
79 Lee S J,Hashash Y M A,Nezami E G.Simulation of triaxial compression tests with polyhedral discrete elements.Comput Geotech,2012,43:92-100
80 Lu M,McDowell G R.The importance of modelling ballast particle shape in the discrete element method.Granular Matter,2007,9:69-80
81 Mollanouri Shamsi M M,Mirghasemi A A.Numerical simulation of 3D semi-real-shaped granular particle assembly.Powder Tech,2012,221:431-446
82 Latham J P,Munjiza A,Garcia X,et al.Three-dimensional particle shape acquisition and use of shape library for DEM and FEM/DEMsimulation.Miner Eng,2008,21:797-805
83郭熙灵,胡辉,包承纲.堆石料颗粒破碎对剪胀性及抗剪强度的影响.岩土工程学报,1997,19:86-91
84马刚,周伟,常晓林,等.考虑颗粒破碎的堆石体三维随机多面体细观数值模拟.岩石力学与工程学报,2011,30:1671-1682
85 Bolton M D,Nakata Y,Cheng Y P.Micro-and macro-mechanical behaviour of DEM crushable materials.Géotechnique,2008,58:471-480
86 Huang J,Xu S,Hu S.Effects of grain size and gradation on the dynamic responses of quartz sands.Int J Impact Eng,2013,59:1-10
87 McDowell G R,De Bono J P.On the micro mechanics of one-dimensional normal compression.Géotechnique,2013,63:895-908
88 Zhou W,Yang L,Ma G,et al.Macro-micro responses of crushable granular materials in simulated true triaxial tests.Granular Matter,2015,17:497-509
89马刚.堆石体的连续-离散耦合分析方法与宏细观力学特性.博士学位论文.武汉:武汉大学,2014
90 Hillerborg A,Modéer M,Petersson P E.Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.Cement Concrete Res,1976,6:773-781
91 Zhou W,Liu J,Ma G,et al.Three-dimensional DEM investigation of critical state and dilatancy behaviors of granular materials.Acta Geotech,2017,12:527-540
92 Zhou W,Liu J,Ma G,et al.Macroscopic and microscopic behaviors of granular materials under proportional strain path:A DEM study.Int JNumer Anal Meth Geomech,2016,40:2450-2467
93 Ma G,Chang X L,Zhou W,et al.Mechanical response of rockfills in a simulated true triaxial test:A combined FDEM study.Geomech Eng,2014,7:317-333
94常晓林,马刚,周伟,等.颗粒形状及粒间摩擦角对堆石体宏观力学行为的影响.岩土工程学报,2012,34:646-653
95朱俊高,刘忠,翁厚洋,等.试样尺寸对粗粒土强度及变形试验影响研究.四川大学学报:工程科学版,2012,44:92-96
96李响,马刚,周伟,等.考虑颗粒强度尺寸效应的堆石体缩尺效应研究.水力发电学报,2016,35:12-22
97郦能惠,朱铢.小浪底坝过渡料的强度与变形特性及缩尺效应.水电能源科学,2001,19:39-42
98董槐三,尹承瑶.天生桥一级水电站面板堆石坝筑坝材料性质研究.红水河,1996,15:7-12
99李翀,何昌荣,王琛,等.粗粒料大型三轴试验的尺寸效应研究.岩土力学,2008,29:563-566
100 Marsal R J.Large scale testing of rockfill materials.J Soil Mech Found Divis,1967,93:27-43
101 Marachi N D,Chan C K,Seed H B.Evaluation of properties of rockfill mechanicals.J Soil Mech Found Eng,ASCE,1972,98:95-114
102 Varadarajan A,Sharma K G,Venkatachalam K,et al.Testing and modeling two rockfill materials.J Geotech Geoenviron Eng,2003,129:206-218
103 Zhou W,Ma G,Chang X,et al.Influence of particle shape on behavior of rockfill using a three-dimensional deformable DEM.J Eng Mech,2013,139:1868-1873
104花俊杰,周伟,常晓林,等.堆石体应力变形的尺寸效应研究.岩石力学与工程学报,2010,29:328-335
105杨贵,刘汉龙,陈育民,等.堆石料动力变形特性的尺寸效应研究.水力发电学报,2009,28:121-126
106王永明,朱晟,任金明,等.筑坝粗粒料力学特性的缩尺效应研究.岩土力学,2013,34:1799-1807
107 Sitharam T G,Nimbkar M S.Micromechanical modelling of granular materials:Effect of particle size and gradation.Geotech Geolog Eng,2000,18:91-117
108易颖,周伟,马刚,等.基于精确缩尺的颗粒材料流变研究.岩土力学,2016,37:1799-1808
109朱晟,王永明,翁厚洋.粗粒筑坝材料密实度的缩尺效应研究.岩石力学与工程学报,2011,30:348-357
2徐泽平,邓刚.高面板堆石坝的技术进展及超高面板堆石坝关键技术问题探讨.水利学报,2008,39:1226-1234
3徐泽平.当代高堆石坝建设的关键技术及岩土工程问题.岩土工程学报,2011,33:27-33
4马洪琪,曹克明.超高面板坝的关键技术问题.中国工程科学,2007,9:4-10
5张宗亮,贾延安,张丙印.复杂应力路径下堆石体本构模型比较验证.岩土力学,2008,29:1147-1151
6 Einav I.Breakage mechanics-Part I:Theory.J Mech Phys Solids,2007,55:1274-1297
7尹振宇,许强,胡伟.考虑颗粒破碎效应的粒状材料本构研究:进展及发展.岩土工程学报,2012,34:2170-2180
8 Hu W,Yin Z Y,Dano C,et al.A constitutive model for granular materials considering grain breakage.Sci China Tech Sci,2011,54:2188-2196
9刘恩龙,陈生水,李国英,等.堆石料的临界状态与考虑颗粒破碎的本构模型.岩土力学,2011,32:148-154
10 Spiers C J,Schutjens P M T M,Brzesowsky R H,et al.Experimental determination of constitutive parameters governing creep of rocksalt by pressure solution.Geol Soc London Spec Publ,1990,54:215-227
11李国英,米占宽,傅华,等.混凝土面板堆石坝堆石料流变特性试验研究.岩土力学,2004,25:1712-1716
12周伟,常晓林.高混凝土面板堆石坝流变的三维有限元数值模拟.岩土力学,2006,27:1389-1392
13周伟,胡颖,杨启贵,等.高混凝土面板堆石坝流变机理及长期变形预测.水利学报,2007,S1:100-105
14张丙印,袁会娜,孙逊.糯扎渡高心墙堆石坝心墙砾石土料变形参数反演分析.水力发电学报,2005,24:18-23
15周伟,徐干,常晓林,等.堆石体流变本构模型参数的智能反演.水利学报,2007,38:389-394
16朱晟.水布垭面板堆石坝施工与运行性状反演研究.岩石力学与工程学报,2011,30:3689-3695
17张社荣,何辉.改进的遗传算法在堆石体参数反演中的应用.岩土力学,2005,26:182-186
18杨荷,周伟,马刚,等.基于响应面法的高堆石坝瞬变-流变参数反演方法.岩土力学,2016,37:1697-1705
19 Zhou W,Li S L,Ma G,et al.Parameters inversion of high central core rockfill dams based on a novel genetic algorithm.Sci China Tech Sci,2016,59:783-794
20温少雄,周伟,李少林,等.基于NSGA-Ⅱ算法的堆石坝多目标参数反演方法.水力发电学报,2017,36:86-95
21常晓林,喻胜春,马刚,等.基于粒子迁徙的粒群优化算法及其在岩土工程中的应用.岩土力学,2011,32:1077-1082
22 Gang M,Wei Z,Xiaolin C.A novel particle swarm optimization algorithm based on particle migration.Appl Math Comp,2012,218:6620-6626
23贾宇峰,朱茂林,迟世春.基于变异粒子群算法的大坝土料流变参数反演--以观音岩混合坝为例.人民长江,2017,48:73-78
24马刚,常晓林,周伟,等.高堆石坝瞬变-流变参数三维全过程联合反演方法及变形预测.岩土力学,2012,33:1889-1895
25 Zhou W,Li S,Zhou Z,et al.Insar observation and numerical modeling of the earth-dam displacement of shuibuya dam(China).Remote Sens,2016,8:877
26 Zhou W,Li S,Zhou Z,et al.Remote sensing of deformation of a high concrete-faced rockfill dam using InSAR:A study of the Shuibuya dam,China.Remote Sens,2016,8:255
27董启朋,姚海林,卢正,等.粗粒土三维细观组构与本构关系研究.岩石力学与工程学报,2014,S2:4334-4342
28刘斯宏,邵东琛,沈超敏,等.一个基于细观结构的粗粒料弹塑性本构模型.岩土工程学报,2017,39:777-783
29孙其诚,金峰,王光谦,等.二维颗粒体系单轴压缩形成的力链结构.物理学报,2010,59:30-37
30 Alshibli K A,Sture S.Shear band formation in plane strain experiments of sand.J Geotech Geoenviron Eng,2000,126:495-503
31 Rechenmacher A L.Grain-scale processes governing shear band initiation and evolution in sands.J Mech Phys Solids,2006,54:22-45
32黄茂松,孙海忠,钱建固.粗粒土的非共轴性及其离散元数值模拟.水利学报,2010,2:173-181
33周伟,谢婷蜓,马刚,等.基于颗粒流程序的真三轴应力状态下堆石体的变形和强度特性研究.岩土力学,2012,33:3006-3012
34罗滔,Ooi E T,Chan A H C.一种模拟堆石料颗粒破碎的离散元-比例边界有限元结合法.岩土力学,2017,38:1463-1471
35常晓林,胡超,马刚,等.模拟岩体失效全过程的连续-非连续变形体离散元方法及应用.岩石力学与工程学报,2011,30:2004-2011
36周伟,常晓林,周创兵,等.堆石体应力变形细观模拟的随机散粒体不连续变形模型及其应用.岩石力学与工程学报,2009,28:491-499
37 Ma G,Zhou W,Chang X L,et al.Combined FEM/DEM modeling of triaxial compression tests for rockfills with polyhedral particles.Int JGeomech,2013,14:04014014
38马刚,周伟,常晓林,等.堆石料缩尺效应的细观机制研究.岩石力学与工程学报,2012,31:2473-2482
39赵婷婷,周伟,常晓林,等.堆石料缩尺方法的分形特性及缩尺效应研究.岩土力学,2015,36:1093-1101
40周伟,常晓林,马刚,等.堆石体缩尺效应研究进展分析.水电与抽水蓄能,2017,1:17-23
41罗先启,葛修润.混凝土面板堆石坝应力应变分析方法研究.北京:中国水利水电出版社,2007
42 Duncan J M,Chang C Y.Nonlinear analysis of stress and strain in soils.J Soil Mech Found Dicision,1970,96:1629-1653
43 Duncan J M.Strength,stress-strain and bulk modulus parameters for finite element analysis of stresses and movements in soil masses.Report No.UCB.GT.80-O1.Berkely:University of California,1980
44高莲士,汪召华,宋文晶.非线性解耦KG模型在高面板堆石坝应力变形分析中的应用.水利学报,2001,10:1-7
45 Lade P V.Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces.Int J Solids Struct,1977,13:1019-1035
46沈珠江.理论土力学.北京:中国水利水电出版社,2000
47张丙印,贾延安,张宗亮.堆石体修正Rowe剪胀方程与南水模型.岩土工程学报,2007,29:1443-1448
48刘萌成,高玉峰,黄晓明.考虑强度非线性的堆石料弹塑性本构模型研究.岩土工程学报,2005,27:294-298
49 Bauer E,Zhu Y.Constitutive modeling of the influence of pressure,density and moisture content on the mechanical behavior of rockfill materials.In:Proccedings of the 4th International Conference on Dam Engineering.Rotterdam,2004.139-146
50明华军,孙开畅,徐小峰,等.考虑颗粒破碎对特征孔隙比影响的堆石体亚塑性本构模型.岩土力学,2016,37:33-40
51花俊杰,常晓林,周伟.高堆石坝流变研究进展.水力发电学报,2010,4:194-199
52沈珠江,左元明.堆石料的流变特性试验研究.In:第6届土力学基础工程学术会议论文集.上海:同济大学出版社,1991.443-446
53李国英,米占宽,傅华,等.混凝土面板堆石坝堆石料流变特性试验研究.岩土力学,2004,25:1712-1716
54程展林,丁红顺.堆石料蠕变特性试验研究.岩土工程学报,2004,4:473-476
55周伟.高混凝土面板堆石坝流变本构模型理论及其应用.博士学位论文.武汉:武汉大学,2004
56王占军,陈生水,傅中志.堆石料流变的黏弹塑性本构模型研究.岩土工程学报,2014,12:2188-2194
57孙国亮,张丙印,张其光,等.不同环境条件下堆石料变形特性的试验研究.岩土力学,2010,31:1413-1419
58张丙印,孙国亮,张宗亮.堆石料的劣化变形和本构模型.岩土工程学报,2010,8:98-103
59 Naylor D J,Knight D J,Ding D.Coupled consolidation analysis of the construction and subsequent performance of Monasavu dam.Comput Geotech,1988,6:95-129
60束一鸣,董爱农.堆石坝变形监控的统计,混合模型与反演分析.河海大学学报,1996,24:1-7
61汪旭,康飞,李俊杰.土石坝地震永久变形参数反演方法研究.岩土力学,2014,1:279-286
62刘振平,迟世春,任宪勇.基于土石坝动力特性的坝料动力参数反演.岩土力学,2014,9:2594-2601
63李守巨,张军,梁金泉,等.基于堆石坝竣工期沉降观测数据的材料非线性本构模型参数反演.岩土力学,2014,S2:61-67
64李少林.基于InSAR时序分析的高面板堆石坝参数反演与变形控制研究.博士学位论文.武汉:武汉大学,2016
65 Massonnet D,Feigl K L.Radar interferometry and its application to changes in the Earth’s surface.Rev Geophys,1998,36:441-500
66 Simons M,Rosen P A.Interferometric synthetic aperture radar geodesy.In:Simons.Treatise on Geophysics,Geodesy.Vol.3.Amsterdam:Elsevier,2007.391-446
67 Rosen P A,Hensley S,Joughin I R,et al.Synthetic aperture radar interferometry.Proc IEEE,2000,88:333-382
68王光谦,孙其诚.颗粒物质及其多尺度结构统计规律.工程力学,2009,26:1-7
69 Munjiza A,Owen D R J,Bicanic N.A combined finite-discrete element method in transient dynamics of fracturing solids.Eng Comput,1995,12:145-174
70 Munjiza A.The Combined Finite-Discrete Element Method.New York:Wiley,2004
71 Rougier E,Munjiza A,John N W M.Numerical comparison of some explicit time integration schemes used in DEM,FEM/DEM and molecular dynamics.Int J Numer Meth Eng,2004,61:856-879
72 Munjiza A,Andrews K R F.NBS contact detection algorithm for bodies of similar size.Int J Numer Meth Eng,1998,43:131-149
73 Munjiza A,Andrews K R F.Penalty function method for combined finite-discrete element systems comprising large number of separate bodies.Int J Numer Meth Eng,2000,49:1377-1396
74 Shi G H,Goodman R E.Discontinuous deformation analysis:A new method for computing stress,strain and sliding of block systems.In:The29th US Symposium on Rock Mechanics(USRMS).Minneapolis,1988
75石根华.数值流形方法与非连续变形分析.裴觉民,译.北京:清华大学出版社,1996
76 Ng T T,Dobry R.Numerical simulations of monotonic and cyclic loading of granular soil.J Geotech Eng,1994,120:388-403
77 Rothenburg L,Bathurst R J.Numerical simulation of idealized granular assemblies with plane elliptical particles.Comput Geotech,1991,11:315-329
78 Azéma E,Radja?F,Peyroux R,et al.Force transmission in a packing of pentagonal particles.Phys Rev E,2007,76:011301
79 Lee S J,Hashash Y M A,Nezami E G.Simulation of triaxial compression tests with polyhedral discrete elements.Comput Geotech,2012,43:92-100
80 Lu M,McDowell G R.The importance of modelling ballast particle shape in the discrete element method.Granular Matter,2007,9:69-80
81 Mollanouri Shamsi M M,Mirghasemi A A.Numerical simulation of 3D semi-real-shaped granular particle assembly.Powder Tech,2012,221:431-446
82 Latham J P,Munjiza A,Garcia X,et al.Three-dimensional particle shape acquisition and use of shape library for DEM and FEM/DEMsimulation.Miner Eng,2008,21:797-805
83郭熙灵,胡辉,包承纲.堆石料颗粒破碎对剪胀性及抗剪强度的影响.岩土工程学报,1997,19:86-91
84马刚,周伟,常晓林,等.考虑颗粒破碎的堆石体三维随机多面体细观数值模拟.岩石力学与工程学报,2011,30:1671-1682
85 Bolton M D,Nakata Y,Cheng Y P.Micro-and macro-mechanical behaviour of DEM crushable materials.Géotechnique,2008,58:471-480
86 Huang J,Xu S,Hu S.Effects of grain size and gradation on the dynamic responses of quartz sands.Int J Impact Eng,2013,59:1-10
87 McDowell G R,De Bono J P.On the micro mechanics of one-dimensional normal compression.Géotechnique,2013,63:895-908
88 Zhou W,Yang L,Ma G,et al.Macro-micro responses of crushable granular materials in simulated true triaxial tests.Granular Matter,2015,17:497-509
89马刚.堆石体的连续-离散耦合分析方法与宏细观力学特性.博士学位论文.武汉:武汉大学,2014
90 Hillerborg A,Modéer M,Petersson P E.Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.Cement Concrete Res,1976,6:773-781
91 Zhou W,Liu J,Ma G,et al.Three-dimensional DEM investigation of critical state and dilatancy behaviors of granular materials.Acta Geotech,2017,12:527-540
92 Zhou W,Liu J,Ma G,et al.Macroscopic and microscopic behaviors of granular materials under proportional strain path:A DEM study.Int JNumer Anal Meth Geomech,2016,40:2450-2467
93 Ma G,Chang X L,Zhou W,et al.Mechanical response of rockfills in a simulated true triaxial test:A combined FDEM study.Geomech Eng,2014,7:317-333
94常晓林,马刚,周伟,等.颗粒形状及粒间摩擦角对堆石体宏观力学行为的影响.岩土工程学报,2012,34:646-653
95朱俊高,刘忠,翁厚洋,等.试样尺寸对粗粒土强度及变形试验影响研究.四川大学学报:工程科学版,2012,44:92-96
96李响,马刚,周伟,等.考虑颗粒强度尺寸效应的堆石体缩尺效应研究.水力发电学报,2016,35:12-22
97郦能惠,朱铢.小浪底坝过渡料的强度与变形特性及缩尺效应.水电能源科学,2001,19:39-42
98董槐三,尹承瑶.天生桥一级水电站面板堆石坝筑坝材料性质研究.红水河,1996,15:7-12
99李翀,何昌荣,王琛,等.粗粒料大型三轴试验的尺寸效应研究.岩土力学,2008,29:563-566
100 Marsal R J.Large scale testing of rockfill materials.J Soil Mech Found Divis,1967,93:27-43
101 Marachi N D,Chan C K,Seed H B.Evaluation of properties of rockfill mechanicals.J Soil Mech Found Eng,ASCE,1972,98:95-114
102 Varadarajan A,Sharma K G,Venkatachalam K,et al.Testing and modeling two rockfill materials.J Geotech Geoenviron Eng,2003,129:206-218
103 Zhou W,Ma G,Chang X,et al.Influence of particle shape on behavior of rockfill using a three-dimensional deformable DEM.J Eng Mech,2013,139:1868-1873
104花俊杰,周伟,常晓林,等.堆石体应力变形的尺寸效应研究.岩石力学与工程学报,2010,29:328-335
105杨贵,刘汉龙,陈育民,等.堆石料动力变形特性的尺寸效应研究.水力发电学报,2009,28:121-126
106王永明,朱晟,任金明,等.筑坝粗粒料力学特性的缩尺效应研究.岩土力学,2013,34:1799-1807
107 Sitharam T G,Nimbkar M S.Micromechanical modelling of granular materials:Effect of particle size and gradation.Geotech Geolog Eng,2000,18:91-117
108易颖,周伟,马刚,等.基于精确缩尺的颗粒材料流变研究.岩土力学,2016,37:1799-1808
109朱晟,王永明,翁厚洋.粗粒筑坝材料密实度的缩尺效应研究.岩石力学与工程学报,2011,30:348-357