冻土弹塑性本构模型研究现状
|
摘要
土体的本构模型是分析计算土工结构变形规律的关键。自剑桥模型提出以来,对于土体本构模型的研究,各国学者在不同环境条件下发展研究了适用于相应试验条件下的各类模型。随着寒区经济的发展,关于冻土力学性质的研究日益增多,许多学者借鉴常规融土的研究方法建立了不同条件下的冻土弹塑性本构模型。为了进一步理清冻土变形行为的特征,完善适用于冻土弹塑性行为的本构模拟理论和方法,作者总结和分析了各类冻土弹塑性本构模型的理论基础、建模方法、参数确定方法等内容,对进一步发展可准确描述冻土复杂力学行为的本构模型具有指导意义。
The constitutive model, which is able to accurately describe the deformation behavior of soil, is the key to obtain the real stress-strain rules of geotechnical structures. Since the Cambridge model putting forward in 1963, many scholars have done a lot of research on the elastoplastic constitutive model of soil, and put forward a large number of soil elastoplastic constitutive models. With the development and construction in cold regions, the researchers use the constitutive simulation method of soil thawing, combining with the characteristics of frozen soil mechanical properties, such as temperature sensitive, high frozen strength and ice pressure and melting under high stress level to carry out a series of studies about elastoplastic behavior and constitutive simulation of frozen soil under rapid loading. Different elastoplastic constitutive models for frozen soil have been established. In order to further clarify the characteristics of frozen soil deformation behavior and improve the constitutive modeling theory and method applicable to the elastoplastic behavior of permafrost, in this paper, the existing elastoplastic constitutive models of frozen soil have been summarized and compared, mainly to summarize and analyze the theoretical foundation, modeling method and parameter determination of various frozen soil elastoplastic constitutive models. The content of the method is useful for further developing the constitutive model which can accurately describe the complex mechanical behavior of frozen soil.
The constitutive model, which is able to accurately describe the deformation behavior of soil, is the key to obtain the real stress-strain rules of geotechnical structures. Since the Cambridge model putting forward in 1963, many scholars have done a lot of research on the elastoplastic constitutive model of soil, and put forward a large number of soil elastoplastic constitutive models. With the development and construction in cold regions, the researchers use the constitutive simulation method of soil thawing, combining with the characteristics of frozen soil mechanical properties, such as temperature sensitive, high frozen strength and ice pressure and melting under high stress level to carry out a series of studies about elastoplastic behavior and constitutive simulation of frozen soil under rapid loading. Different elastoplastic constitutive models for frozen soil have been established. In order to further clarify the characteristics of frozen soil deformation behavior and improve the constitutive modeling theory and method applicable to the elastoplastic behavior of permafrost, in this paper, the existing elastoplastic constitutive models of frozen soil have been summarized and compared, mainly to summarize and analyze the theoretical foundation, modeling method and parameter determination of various frozen soil elastoplastic constitutive models. The content of the method is useful for further developing the constitutive model which can accurately describe the complex mechanical behavior of frozen soil.
引文
[1] Zhou Youwu,Guo Dongxin,Qiu Guoqing,et al.Chinese frozen soil[M].Beijing:Science Press,2000.[周幼吾,郭东信,邱国庆,等.中国冻土[M].北京:科学出版社,2000.]
[2] Lai Yuanming,Zhang Mingyi,Li Shuangyang,et al.Theory and application of cold regions[M].Beijing:Science Press,2009.[赖远明,张明义,李双洋,等.寒区工程理论与应用[M].北京:科学出版社,2009.]
[3] Chen Dun,Ma Wei,Zhao Shuping,et al.Recent research progress and prospect of frozen soil dynamics[J].Journal of Glaciology and Geocryology,2017,39(4):868-883.[陈敦,马巍,赵淑萍,等.冻土动力学研究的现状及展望[J].冰川冻土,2017,39(4):868-883.]
[4] Zhu Yuanlin,Wu Ziwang,He Ping,et al.New progress and prospect of frozen soil mechanics research in China[J].Journal of Glaciology and Geocryology,1995,17(Suppl 1):6-14.[朱元林,吴紫汪,何平,等.我国冻土力学研究新进展及展望[J].冰川冻土,1995,17(增刊1):6-14.]
[5] Yang Guanghua,Li Guangxin,Jie Yuxin.Generalized potential theory of soil constitutive model and its application[M].Beijing:China Water & Power Press,2007.[杨光华,李广信,介玉新.土的本构模型的广义位势理论及其应用[M].北京:中国水利水电出版社,2007.]
[6] Xie Dingyi,Yao Yangping,Dang Faning,et al.Advanced soil mechanics[M].Beijing:Higher Education Press,2008.[谢定义,姚仰平,党发宁,等.高等土力学[M].北京:高等教育出版社,2008.]
[7] Yao Yangping,Zhang Bingyin,Zhu Jungao.Behaviors,constitutive models and numerical simulation of soils[J].China Civil Engineering Journal,2012(3):127-150.[姚仰平,张丙印,朱俊高.土的基本特性、 本构关系及数值模拟研究综述[J].土木工程学报,2012(3):127-150.]
[8] Luo Ting,Yao Yangping,Hou Wei.Soil constitutive models[M].Beijing:People′s Communications Press,2010.[罗汀,姚仰平,侯伟.土的本构关系[M].北京:人民交通出版社,2010.]
[9] Tsytovich H A.Mechanics of frozen soil[M].Zhang Changqing,Zhu Yuanlin,translation.Beijing:Science Press,1985.[崔托维奇著 Н А.冻土力学[M].张长庆,朱元林,译.北京:科学出版社,1985.]
[10] Sayles F H.State of the art,mechanical properties of frozen soil[J].5th Int.Sym.Ground Freezing,Rotterdam,1988:143-165.
[11] Zhu Yuanlin,Zhang Jiayi,Peng Wanwei,et al.Constitutive relationships of frozen soil in uniaxial compression[J].Journal of Glaciology and Geocryology,1992,14(3):210-217.[朱元林,张家懿,彭万巍,等.冻土的单轴压缩本构关系[J].冰川冻土,1992,14(3):210-217.]
[12] Bragg R A,Andersland O B.Strain rate,temperature,and sample size effects on compression and tensile properties of frozen sand[J].Engineering Geology,1981,18(1/2/3/4):35-46.
[13] Zhu Yuanlin,He Ping,Zhang Jiayi,et al.Effect of confine pressure on creep behaviour of frozen silt under dynamic loading[J].Journal of Glaciology and Geocryology,1995,17(Suppl 1):20-25.[朱元林,何平,张家懿,等.围压对冻结粉土在振动荷载作用下蠕变性能的影响[J].冰川冻土,1995,17(增刊1):20-25.]
[14] He Ping,Zhu Yuanlin,Chang Xiaoxiao.Performability and poisson′s ratio of frozen soil[J].Underground Space,1999,19(5):504-507.[何平,朱元林,常小晓.冻土的变形性能与泊松比[J].地下空间,1999,19(5):504-507.]
[15] Wang Dayan,Ma Wei,Chang Xiaoxiao,et al.Study on resistance to deformation of artificially frozen soil in deep alluvium[J].Chinese Journal of Geotechnical Engineering,2005,27(4):418-421.[王大雁,马巍,常小晓,等.深部人工冻土抗变形特性研究[J].岩土工程学报,2005,27(4):418-421.]
[16] Zhang Shujuan,Lai Yuanming,Sun Zhizhong,et al.Volumetric strain and strength behavior of frozen soils under confinement[J].Cold Regions Science & Technology,2007,47(3):263-270.
[17] Zheng Bo.Study on mechanical properties of warm and ice-rich frozen soil and roadbed deformation in permafrost regions[D].Lanzhou:Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,2007.[郑波.高温-高含冰量冻土力学特性及冻土路基变形研究[D].兰州:中国科学院寒区旱区环境与工程研究所,2007.]
[18] Jin Long.Study on the yield function and elasto-plastic damage model for frozen sandy soil[D].Lanzhou:Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,2008.[金龙.冻结砂土的屈服函数及弹塑性损伤本构模型试验研究[D].兰州:中国科学院寒区旱区环境与工程研究所,2008.]
[19] Qi Jilin,Ma Wei.State-of-art of research on mechanical properties of frozen soils[J].Rock and Soil mechanics,2010,31(1):133-143.[齐吉琳,马巍.冻土的力学性质及研究现状[J].岩土力学,2010,31(1):133-143.]
[20] Painter S L,Karra S.Constitutive model for unfrozen water content in subfreezing unsaturated soils[J].Vadose Zone Journal,2014,13(4):334-338.
[21] Sukai,Zhang Jianming,Liu Shiwei,et al.Compressibility of warm and ice-rich frozen soil[J].Journal of Glaciology and Geocryology,2013,35(2):3063-3069.[苏凯,张建明,刘世伟,等.高温-高含冰量冻土压缩变形特性研究[J].冰川冻土,2013,35(2):3063-3069.]
[22] Xu Xiangtian,Wang Jiwei,Zhang Mingyi.Experimental study of the mechanical properties of frozen Helin Loess[J].Journal of Glaciology and Geocryology,2016,38(3):685-691.[徐湘田,王继伟,张明义.冻结和林黄土力学性质的试验研究[J].冰川冻土,2016,38(3):685-691.]
[23] Qu Chengsong,Zhang Wenxiang,Liu Yi.Review of soft soil elastic-plastic constitutive model development[J].Chinese Journal of Underground Space and Engineering,2011,7(Suppl 1):1390-1396.[瞿成松,张文翔,刘毅.软土弹塑性本构模型发展综述[J].地下空间与工程学报,2011,7(增刊1):1390-1396.]
[24] Xu Xiangtian.Laboratory investigation on mechanical properties and constitutive modeling for frozen soil[D].Lanzhou:Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,2012.[徐湘田.冻土力学性质的试验研究与本构模拟[D].兰州:中国科学院寒区旱区环境与工程研究所,2012.]
[25] Li Guangxin.Advanced soil mechanics[M].Beijing:Tsinghua University Press,2005.[李广信.高等土力学[M].北京:清华大学出版社,2005.]
[26] Dungan J M,Chang C Y.Nonlinear analysis of stress and strain in soils[J].Journal of the Soil Mechanics and Foundations Division,1970,96(5):1629-1653.
[27] Salccb A F,Chen W F,Zhang Xueyan,Soil constitutive relations overview[J].Mechanics Progress,1987,17(2):119-126.[Salccb A F,Chen W F,张学言.土的本构关系综述[J].力学进展,1987,17(2):119-126.]
[28] Chen Mingxiang.Elasticity and plasticity[M].Beijing:Science Press,2010.[陈明祥.弹塑性力学[M].北京:科学出版社,2010.]
[29] Vialov S S.The strength and creep calculation of the barriers made of frozen soil[J].Soil Mechanics & Foundation Engineering,1963,11:25-26.
[30] Duncan J M ,Chang C Y G .Nonlinear analysis of stress and strain in soils[J].Journal of Soil Mechanics & Foundations Div,1970,96(5):1629-1653.
[31] Chang C Y,Duncan J M.Analysis of soil movement around a deep excavation[J].Journal of Soil Mechanics & Foundations Div,1970,96(5):1655-1681.
[32] Duncan J M,Byrne P,Wong K S,et al.Strength,stress-strain and bulk modulus parameters for finite element analysis of stress and movements in soil masses[J].Journal of Consulting & Clinical Psychology,1980,49(4):554-67.
[33] Wang Dayan,Wei Ma,Chang Xiaoxiao.Analyses of behavior of stress strain of frozen Lanzhou loess subjected to K0,consolidation[J].Cold Regions Science & Technology,2004,40(1/2):19-29.
[34] Lai Yuanming,Cheng Hongbin,Gao Zhihua,et al.Stress-strain relationship and nonlinear Mohr strength criterion of frozen sand clay[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(8):1612-1617.[赖远明,程红彬,高志华,等.冻结砂土的应力-应变关系及非线性莫尔强度准则[J].岩石力学与工程学报,2007,26(8):1612-1617.]
[35] Yang Yugui,Lai Yuanming,Chang Xiaoxiao.Laboratory and theoretical investigations on the deformation and strength behaviors of artificial frozen soil[J].Cold Regions Science & Technology,2010,64(1):39-45.
[36] Shen Zhujiang.A nonlinear dilatant stress-strain model for soils and rock materials[J].Hydro-Science and Engineering,1986(4):3-16.[沈珠江.考虑剪胀性的土和石料的非线性应力应变模式[J].水利水运工程学报,1986(4):3-16.]
[37] Liao Mengke.The influence of sulfate salinization on constitutive relation and the creep simulation of frozen soil[D].Lanzhou:Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,2016.[廖孟柯.冻土本构的硫酸盐渍化影响及蠕变特性研究[D].兰州:中国科学院寒区旱区环境与工程研究所,2016.]
[38] Huang Wenxi.Theory of elastoplastic stress-strain models for soils[J].Journal of Tsinghua University(Science and Technology),1979:1-26.[黄文熙.土的弹塑性应力—应变模型理论[J].清华大学学报(自然科学版),1979:1-26.]
[39] Shen Zhujiang.Theoretical soil mechanics[M].Beijing:China Water & Power Press,2000.[沈珠江.理论土力学[M].北京:中国水利水电出版社,2000.]
[40] Xiang Darun.Loading criterion and calculation model of soil elasto-plasticity theory[J].Chinese Journal of Geotechnical Engineering,1983,5(4):78-91.[向大润.土体弹塑性理论加载准则和计算模型探讨[J].岩土工程学报,1983,5(4):78-91.]
[41] Huang Wenxi,Pu Jialiu,Chen Yujiong.Hardening rule and yield function for soils[J].Chinese Journal of Geotechnical Engineering,1981,3(3):19-26.[黄文熙,濮家骝,陈愈炯.土的硬化规律和屈服函数[J].岩土工程学报,1981,3(3):19-26.]
[42] Lai Yuanming,Jin Long,Chang Xiaoxiao.Yield criterion and elasto-plastic damage constitutive model for frozen sandy soil[J].International Journal of Plasticity,2009,25(6):1177-1205.
[43] Lai Yuanming,Yang Yugui,Chang Xiaoxiao,et al.Strength criterion and elastoplastic constitutive model of frozen silt in generalized plastic mechanics[J].International Journal of Plasticity,2010,26(10):1461-1484.
[44] Atkinson J H,Bransby P L.An Introduction to critical state soil mechanics[J].Engineering Geology,1977,17(1):80-81.
[45] Towner G D.Effective stresses in unsaturated soils and their applicability in the theory of critical state soil mechanics[J].European Journal of Soil Science,2010,34(3):429-435.
[46] Xu Xiangtian,Wang Yubing,Yin Zhenhua,et al.Effect of temperature and strain rate on mechanical characteristics and constitutive model of frozen Helin loess[J].Cold Regions Science & Technology,2017,136:44-51.
[47] Roscoe K H,Schofield A N,Wroth C P.On the yielding of soils[J].Geotechnique,1958,8(1):22-53.
[48] Collins I F,Tai A T T.Energy methods for constitutive modelling in geomechanics[M]//Modern Trends in Geomechanics.Springer Berlin Heidelberg,2006.
[49] Yang Yugui.Studies on the strength and constitutive models of frozen silt[D].Lanzhou:Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,2011.[杨玉贵.冻结粉土强度与本构模型研究[D].兰州:中国科学院寒区旱区环境与工程研究所,2011.]
[50] Zhu Zhiwu,Ning Jianguo,Ma Wei.Study on yield surface and yield criterion of frozen soil[J].Acta Mechanica Solida Sinica,2006,27(3):307-310.[朱志武,宁建国,马巍.冻土屈服面与屈服准则的研究[J].固体力学学报,2006,27(3):307-310.]
[51] Matsuoka H,Sun De′an.Extension of spatially mobilized plane (SMP) to frictional and cohesive materials and its application to cemented sands[J].Soils and foundations,1995,35(4):63-72.
[52] Matsuoka H,Nakai T.Relationship among Tresca,Mises,Mohr-Coulomb and Matsuola-Nak-ai failure criteria[J].Soils & Foundations,2008,25(4):123-128.
[53] Yang Xueqiang,Zhu Zhizheng,He Shixiu,et al.Researches on failure criteria of Lade-Duncan Matsuoka-Nakai and Ottosen[J].Chinese Journal of Geotechnical Engineering,2006,28(3):337-342.
[54] Liu Enlong,Lai Yuanming,Wong Henry,et al.An elastoplastic model for saturated freezing soils based on thermo-poromechanics[J].International Journal of Plasticity,2018,107:246-285.
[55] Jones S J.The confined compressive strength of polycrystalline ice[J].Journal of Glaciology,1982,28(98):171-178.
[56] Fish A M.Strength of frozen soil under a combined stress state[C]//Proceedings of 6th international symposium on ground freezing.AA Balkema Rotterdam,The Netherlands,1991,1(1):135-145.
[57] Chamberlain E J,Groves E,Perham R.The mechanical behavior of frozen earth materials under high pressure thiaxial test conditions[J].Geotechnique,1972,22(3):469-483.
[58] Bragg R A,Andersland O B.Strain rate,temperature,and sample size effects on compression and tensile properties of frozen sand[J].Engineering Geology,1981,18(1/2/3/4):35-46.
[59] Tsutsumi S,Hashiguchi K.General non-proportional loading behavior of soils[J].International Journal of Plasticity,2005,21:1941-1969.
[60] De G V,Pereira J M.A viscoplastic constitutive model for unsaturated geomaterials[J].Computer and Geotechnics,2013,54(10):143-151.
[61] Painter S L,Karra S.Constitutive model for unfrozen water content in subfreezing unsaturated soils[J].Vadose Zone Journal,2014,13(4):0071.
[62] Domaschuk L,Valliappan P.Nonlinear settlement analysis by finite element[J].Journal of the Geotechnical Engineering Division,1975,101:601-614.
[63] Wood D M.Soil behavior and critical state soil mechanics.Combridge,United Kingdom:Combridge University Press,1990.
[64] Liu Huabei.A cyclic constitutive model for soil structure interface based on critical state soil mechanics[C]//National Symposium on Geodynamics,Beijing.2006:125-131.[刘华北.基于临界状态土力学理论的土与结构物接触面反复受载本构模型[C]//全国土动力学学术会议,北京.2006:125-131.]
[65] Zeng Yining,Qu Zhijiong,Liu Kaiming,et al.An experimental study of nonlinear K-G model for soils[J].Journal of Sichuan University,1985(4):149-155.[曾以宁,屈智炯,刘开明,等.土的非线性K-G模型的试验研究[J].四川大学学报,1985(4):143-149.]
[66] Sun Tao,Zhang Gaoxi.Containing dilatancy and strain softening of earth′s K-G model[J].Rock and Soil Mechanics,2005,26(9):1369-1373.[孙陶,章高希.考虑土体剪胀性和应变软化性的K-G模型[J].岩土力学,2005,26(9):1369-1373.]
[67] Li Shunqun,Zhang Jianwei,Xia Jinhong.An improvement on Cam-Clay model and modified Cam-Clay model for intact soil[J].Rock and Soil Mechanics,2015,36(Suppl 2):215-220.[李顺群,张建伟,夏锦红.原状土的剑桥模型和修正剑桥模型[J].岩土力学,2015,36(增刊2):215-220.]
[68] Chang Dan.Research on the mechanical properties and constitutive model of silty sand after freeze-thaw cycles[D].Beijing:Beijing Jiaotong University,2016.[常丹.冻融循环下粉质砂土力学性质及本构模型研究[D].北京:北京交通大学,2016.]
[69] Li Dongwei,Cui Hao,Wang Renhe.Nonlinear rheological constitutive model for frozen sand under complex stress paths and its engineering application[J].Chinese Journal of Geotechnical Engineering,2008(10):1496-1501.[李栋伟,崔灏,汪仁和.复杂应力路径下人工冻砂土非线性流变本构模型与应用研究[J].岩土工程学报,2008(10):1496-1501.]
[70] Zhou Guoqing,Zhao Xiaodong,Li Shengsheng.Stress-strain properties for the frozen media sand at different temperature gradients during two stress paths[J].Chinese Journal of Geotechnical Engineering,2010,32(3):338-343.[周国庆,赵晓东,李生生.不同温度梯度两种应力路径冻结中砂应力-应变特性试验研究[J].岩土工程学报,2010,32(3):338-343.]
[71] Li Xiaolin,Wang Hongjian,Zou Shaojun,et al.Research state of deformation characteristics of frozen soil under cyclic loading and problems in frozen soil excavation[J].Journal of Glaciology and Geocryology,2017,39(1):92-101.[栗晓林,王红坚,邹少军,等.循环荷载下冻土变形特性研究现状及冻土开挖问题[J].冰川冻土,2017,39(1):92-101.]
[72] Chen Dun,Ma Wei,Wang Dayan,et al.Experimental study of deformation characteristics of frozen clay under directional shear stress path[J].Rock and Soil Mechanics,2018,39(7):2483-2490.[陈敦,马巍,王大雁,等.定向剪切应力路径下冻结黏土变形特性试验研究[J].岩土力学,2018,39(7):2483-2490.]
[73] Jiao Guide,Zhao Shuping,Ma Wei,et al.Deformation and strength of warm frozen soils under cyclic loading[J].Chinese Journal of Geotechnical Engineering,2013,35(8):1553-1558.[焦贵德,赵淑萍,马巍,等.循环荷载下高温冻土的变形和强度特性[J].岩土工程学报,2013,35(8):1553-1558.]
[74] Li Dongwei,Chen Junhao,Zhou Yan.Elastic-plastic constitutive model of artificial frozen soil based on cascadecorrelation artificial[J].Journal of China Coal Society,2016,41(Suppl 2):407-411.[李栋伟,陈军浩,周艳.复杂应力路径人工冻土三轴剪切试验及本构模型[J].煤炭学报,2016,41(增刊2):407-411.]
[75] Lai Yuanming,Xu Xiangtian,Dong Yuanhong,et al.Present situation and prospect of mechanical research on frozen soils in China[J].Cold Regions Science & Technology,2013,87:6-18.
[76] Zheng Yingren,Chen Chang′an.Yield criterion and constitutive relation for perfect plastic Rock-soil[J].Chinese Journal of Geotechnical Engineering,1984,6(5):13-22.[郑颖人,陈长安.理想塑性岩土的屈服条件与本构关系[J].岩土工程学报,1984,6(5):13-22.]
[77] Yi Yingfeng,Shi Jianyong,Zhou Qinghua.Multiple yield surface model and its application in engineering[J].West-China Exploration Engineering,2002,14(4):3-4.[伊颖锋,施建勇,周清华.多屈服面模型及其在工程中的应用[J].西部探矿工程,2002,14(4):3-4.]
[78] Zheng Yingren.Principle of geotechnical plastic mechanics:generalized plastic mechanics[M].Beijing:China Architecture & Building Press,2002.[郑颖人.岩土塑性力学原理:广义塑性力学[M].北京:中国建筑工业出版社,2002.]
[79] Ziegler H.Some extremum principles in irreversible thermodynamics with application to continuum mechanics[J].Progress in Solid Mechanics,1963,4:92-193.
[80] Ziegler H.Constitutive equations derived from the free energy and the dissipation function[C]// Developments in Mechanics.13-midwestern Mechanics Conference.Columbus:Columbus,OH,Chio State University,1985.
[81] Houlsby G T,Puzrin A M .Rate-dependent plasticity models derived from potential functions[J].Journal of Rheology,2002,46(1):113-126.
[82] Collins I F.The mathematical structure of the equations for quasi-static plane strain deformations of granular material[M]// Two phase flows and waves.New York:Springer,1990.
[83] Puzrin A M.Simple criteria for ploughing and runout in post-failure evolution of submarine landslides[J].Canadian Geotechnical Journal,2016,53(8):1305-1314.
[84] Collins I F,Hilder T.A theoretical framework for constructing elastic/plastic constitutive models of triaxialtests[J].International Journal for Numerical & Analytical Methods in Geomechanics,2002,26(13):1313-1347.
[85] Wang Qiusheng,Wang Yujie,Zhang Bo,et al.A constitutive model for soils based on thermomechanics[J].Rock and Soil Mechanics,2010,31(2):350-354.[王秋生,王玉杰,张波,等.一个基于热力学的土体本构模型[J].岩土力学,2010,31(2):350-354.]
[86] Li Ning,Chen Bo,Chen Feixiong,et al.The coupled heat-moisture-mechanic model of the frozen soil[J].Cold Regions Science & Technology,2000,31(3):199-205.
[2] Lai Yuanming,Zhang Mingyi,Li Shuangyang,et al.Theory and application of cold regions[M].Beijing:Science Press,2009.[赖远明,张明义,李双洋,等.寒区工程理论与应用[M].北京:科学出版社,2009.]
[3] Chen Dun,Ma Wei,Zhao Shuping,et al.Recent research progress and prospect of frozen soil dynamics[J].Journal of Glaciology and Geocryology,2017,39(4):868-883.[陈敦,马巍,赵淑萍,等.冻土动力学研究的现状及展望[J].冰川冻土,2017,39(4):868-883.]
[4] Zhu Yuanlin,Wu Ziwang,He Ping,et al.New progress and prospect of frozen soil mechanics research in China[J].Journal of Glaciology and Geocryology,1995,17(Suppl 1):6-14.[朱元林,吴紫汪,何平,等.我国冻土力学研究新进展及展望[J].冰川冻土,1995,17(增刊1):6-14.]
[5] Yang Guanghua,Li Guangxin,Jie Yuxin.Generalized potential theory of soil constitutive model and its application[M].Beijing:China Water & Power Press,2007.[杨光华,李广信,介玉新.土的本构模型的广义位势理论及其应用[M].北京:中国水利水电出版社,2007.]
[6] Xie Dingyi,Yao Yangping,Dang Faning,et al.Advanced soil mechanics[M].Beijing:Higher Education Press,2008.[谢定义,姚仰平,党发宁,等.高等土力学[M].北京:高等教育出版社,2008.]
[7] Yao Yangping,Zhang Bingyin,Zhu Jungao.Behaviors,constitutive models and numerical simulation of soils[J].China Civil Engineering Journal,2012(3):127-150.[姚仰平,张丙印,朱俊高.土的基本特性、 本构关系及数值模拟研究综述[J].土木工程学报,2012(3):127-150.]
[8] Luo Ting,Yao Yangping,Hou Wei.Soil constitutive models[M].Beijing:People′s Communications Press,2010.[罗汀,姚仰平,侯伟.土的本构关系[M].北京:人民交通出版社,2010.]
[9] Tsytovich H A.Mechanics of frozen soil[M].Zhang Changqing,Zhu Yuanlin,translation.Beijing:Science Press,1985.[崔托维奇著 Н А.冻土力学[M].张长庆,朱元林,译.北京:科学出版社,1985.]
[10] Sayles F H.State of the art,mechanical properties of frozen soil[J].5th Int.Sym.Ground Freezing,Rotterdam,1988:143-165.
[11] Zhu Yuanlin,Zhang Jiayi,Peng Wanwei,et al.Constitutive relationships of frozen soil in uniaxial compression[J].Journal of Glaciology and Geocryology,1992,14(3):210-217.[朱元林,张家懿,彭万巍,等.冻土的单轴压缩本构关系[J].冰川冻土,1992,14(3):210-217.]
[12] Bragg R A,Andersland O B.Strain rate,temperature,and sample size effects on compression and tensile properties of frozen sand[J].Engineering Geology,1981,18(1/2/3/4):35-46.
[13] Zhu Yuanlin,He Ping,Zhang Jiayi,et al.Effect of confine pressure on creep behaviour of frozen silt under dynamic loading[J].Journal of Glaciology and Geocryology,1995,17(Suppl 1):20-25.[朱元林,何平,张家懿,等.围压对冻结粉土在振动荷载作用下蠕变性能的影响[J].冰川冻土,1995,17(增刊1):20-25.]
[14] He Ping,Zhu Yuanlin,Chang Xiaoxiao.Performability and poisson′s ratio of frozen soil[J].Underground Space,1999,19(5):504-507.[何平,朱元林,常小晓.冻土的变形性能与泊松比[J].地下空间,1999,19(5):504-507.]
[15] Wang Dayan,Ma Wei,Chang Xiaoxiao,et al.Study on resistance to deformation of artificially frozen soil in deep alluvium[J].Chinese Journal of Geotechnical Engineering,2005,27(4):418-421.[王大雁,马巍,常小晓,等.深部人工冻土抗变形特性研究[J].岩土工程学报,2005,27(4):418-421.]
[16] Zhang Shujuan,Lai Yuanming,Sun Zhizhong,et al.Volumetric strain and strength behavior of frozen soils under confinement[J].Cold Regions Science & Technology,2007,47(3):263-270.
[17] Zheng Bo.Study on mechanical properties of warm and ice-rich frozen soil and roadbed deformation in permafrost regions[D].Lanzhou:Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,2007.[郑波.高温-高含冰量冻土力学特性及冻土路基变形研究[D].兰州:中国科学院寒区旱区环境与工程研究所,2007.]
[18] Jin Long.Study on the yield function and elasto-plastic damage model for frozen sandy soil[D].Lanzhou:Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,2008.[金龙.冻结砂土的屈服函数及弹塑性损伤本构模型试验研究[D].兰州:中国科学院寒区旱区环境与工程研究所,2008.]
[19] Qi Jilin,Ma Wei.State-of-art of research on mechanical properties of frozen soils[J].Rock and Soil mechanics,2010,31(1):133-143.[齐吉琳,马巍.冻土的力学性质及研究现状[J].岩土力学,2010,31(1):133-143.]
[20] Painter S L,Karra S.Constitutive model for unfrozen water content in subfreezing unsaturated soils[J].Vadose Zone Journal,2014,13(4):334-338.
[21] Sukai,Zhang Jianming,Liu Shiwei,et al.Compressibility of warm and ice-rich frozen soil[J].Journal of Glaciology and Geocryology,2013,35(2):3063-3069.[苏凯,张建明,刘世伟,等.高温-高含冰量冻土压缩变形特性研究[J].冰川冻土,2013,35(2):3063-3069.]
[22] Xu Xiangtian,Wang Jiwei,Zhang Mingyi.Experimental study of the mechanical properties of frozen Helin Loess[J].Journal of Glaciology and Geocryology,2016,38(3):685-691.[徐湘田,王继伟,张明义.冻结和林黄土力学性质的试验研究[J].冰川冻土,2016,38(3):685-691.]
[23] Qu Chengsong,Zhang Wenxiang,Liu Yi.Review of soft soil elastic-plastic constitutive model development[J].Chinese Journal of Underground Space and Engineering,2011,7(Suppl 1):1390-1396.[瞿成松,张文翔,刘毅.软土弹塑性本构模型发展综述[J].地下空间与工程学报,2011,7(增刊1):1390-1396.]
[24] Xu Xiangtian.Laboratory investigation on mechanical properties and constitutive modeling for frozen soil[D].Lanzhou:Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,2012.[徐湘田.冻土力学性质的试验研究与本构模拟[D].兰州:中国科学院寒区旱区环境与工程研究所,2012.]
[25] Li Guangxin.Advanced soil mechanics[M].Beijing:Tsinghua University Press,2005.[李广信.高等土力学[M].北京:清华大学出版社,2005.]
[26] Dungan J M,Chang C Y.Nonlinear analysis of stress and strain in soils[J].Journal of the Soil Mechanics and Foundations Division,1970,96(5):1629-1653.
[27] Salccb A F,Chen W F,Zhang Xueyan,Soil constitutive relations overview[J].Mechanics Progress,1987,17(2):119-126.[Salccb A F,Chen W F,张学言.土的本构关系综述[J].力学进展,1987,17(2):119-126.]
[28] Chen Mingxiang.Elasticity and plasticity[M].Beijing:Science Press,2010.[陈明祥.弹塑性力学[M].北京:科学出版社,2010.]
[29] Vialov S S.The strength and creep calculation of the barriers made of frozen soil[J].Soil Mechanics & Foundation Engineering,1963,11:25-26.
[30] Duncan J M ,Chang C Y G .Nonlinear analysis of stress and strain in soils[J].Journal of Soil Mechanics & Foundations Div,1970,96(5):1629-1653.
[31] Chang C Y,Duncan J M.Analysis of soil movement around a deep excavation[J].Journal of Soil Mechanics & Foundations Div,1970,96(5):1655-1681.
[32] Duncan J M,Byrne P,Wong K S,et al.Strength,stress-strain and bulk modulus parameters for finite element analysis of stress and movements in soil masses[J].Journal of Consulting & Clinical Psychology,1980,49(4):554-67.
[33] Wang Dayan,Wei Ma,Chang Xiaoxiao.Analyses of behavior of stress strain of frozen Lanzhou loess subjected to K0,consolidation[J].Cold Regions Science & Technology,2004,40(1/2):19-29.
[34] Lai Yuanming,Cheng Hongbin,Gao Zhihua,et al.Stress-strain relationship and nonlinear Mohr strength criterion of frozen sand clay[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(8):1612-1617.[赖远明,程红彬,高志华,等.冻结砂土的应力-应变关系及非线性莫尔强度准则[J].岩石力学与工程学报,2007,26(8):1612-1617.]
[35] Yang Yugui,Lai Yuanming,Chang Xiaoxiao.Laboratory and theoretical investigations on the deformation and strength behaviors of artificial frozen soil[J].Cold Regions Science & Technology,2010,64(1):39-45.
[36] Shen Zhujiang.A nonlinear dilatant stress-strain model for soils and rock materials[J].Hydro-Science and Engineering,1986(4):3-16.[沈珠江.考虑剪胀性的土和石料的非线性应力应变模式[J].水利水运工程学报,1986(4):3-16.]
[37] Liao Mengke.The influence of sulfate salinization on constitutive relation and the creep simulation of frozen soil[D].Lanzhou:Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,2016.[廖孟柯.冻土本构的硫酸盐渍化影响及蠕变特性研究[D].兰州:中国科学院寒区旱区环境与工程研究所,2016.]
[38] Huang Wenxi.Theory of elastoplastic stress-strain models for soils[J].Journal of Tsinghua University(Science and Technology),1979:1-26.[黄文熙.土的弹塑性应力—应变模型理论[J].清华大学学报(自然科学版),1979:1-26.]
[39] Shen Zhujiang.Theoretical soil mechanics[M].Beijing:China Water & Power Press,2000.[沈珠江.理论土力学[M].北京:中国水利水电出版社,2000.]
[40] Xiang Darun.Loading criterion and calculation model of soil elasto-plasticity theory[J].Chinese Journal of Geotechnical Engineering,1983,5(4):78-91.[向大润.土体弹塑性理论加载准则和计算模型探讨[J].岩土工程学报,1983,5(4):78-91.]
[41] Huang Wenxi,Pu Jialiu,Chen Yujiong.Hardening rule and yield function for soils[J].Chinese Journal of Geotechnical Engineering,1981,3(3):19-26.[黄文熙,濮家骝,陈愈炯.土的硬化规律和屈服函数[J].岩土工程学报,1981,3(3):19-26.]
[42] Lai Yuanming,Jin Long,Chang Xiaoxiao.Yield criterion and elasto-plastic damage constitutive model for frozen sandy soil[J].International Journal of Plasticity,2009,25(6):1177-1205.
[43] Lai Yuanming,Yang Yugui,Chang Xiaoxiao,et al.Strength criterion and elastoplastic constitutive model of frozen silt in generalized plastic mechanics[J].International Journal of Plasticity,2010,26(10):1461-1484.
[44] Atkinson J H,Bransby P L.An Introduction to critical state soil mechanics[J].Engineering Geology,1977,17(1):80-81.
[45] Towner G D.Effective stresses in unsaturated soils and their applicability in the theory of critical state soil mechanics[J].European Journal of Soil Science,2010,34(3):429-435.
[46] Xu Xiangtian,Wang Yubing,Yin Zhenhua,et al.Effect of temperature and strain rate on mechanical characteristics and constitutive model of frozen Helin loess[J].Cold Regions Science & Technology,2017,136:44-51.
[47] Roscoe K H,Schofield A N,Wroth C P.On the yielding of soils[J].Geotechnique,1958,8(1):22-53.
[48] Collins I F,Tai A T T.Energy methods for constitutive modelling in geomechanics[M]//Modern Trends in Geomechanics.Springer Berlin Heidelberg,2006.
[49] Yang Yugui.Studies on the strength and constitutive models of frozen silt[D].Lanzhou:Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,2011.[杨玉贵.冻结粉土强度与本构模型研究[D].兰州:中国科学院寒区旱区环境与工程研究所,2011.]
[50] Zhu Zhiwu,Ning Jianguo,Ma Wei.Study on yield surface and yield criterion of frozen soil[J].Acta Mechanica Solida Sinica,2006,27(3):307-310.[朱志武,宁建国,马巍.冻土屈服面与屈服准则的研究[J].固体力学学报,2006,27(3):307-310.]
[51] Matsuoka H,Sun De′an.Extension of spatially mobilized plane (SMP) to frictional and cohesive materials and its application to cemented sands[J].Soils and foundations,1995,35(4):63-72.
[52] Matsuoka H,Nakai T.Relationship among Tresca,Mises,Mohr-Coulomb and Matsuola-Nak-ai failure criteria[J].Soils & Foundations,2008,25(4):123-128.
[53] Yang Xueqiang,Zhu Zhizheng,He Shixiu,et al.Researches on failure criteria of Lade-Duncan Matsuoka-Nakai and Ottosen[J].Chinese Journal of Geotechnical Engineering,2006,28(3):337-342.
[54] Liu Enlong,Lai Yuanming,Wong Henry,et al.An elastoplastic model for saturated freezing soils based on thermo-poromechanics[J].International Journal of Plasticity,2018,107:246-285.
[55] Jones S J.The confined compressive strength of polycrystalline ice[J].Journal of Glaciology,1982,28(98):171-178.
[56] Fish A M.Strength of frozen soil under a combined stress state[C]//Proceedings of 6th international symposium on ground freezing.AA Balkema Rotterdam,The Netherlands,1991,1(1):135-145.
[57] Chamberlain E J,Groves E,Perham R.The mechanical behavior of frozen earth materials under high pressure thiaxial test conditions[J].Geotechnique,1972,22(3):469-483.
[58] Bragg R A,Andersland O B.Strain rate,temperature,and sample size effects on compression and tensile properties of frozen sand[J].Engineering Geology,1981,18(1/2/3/4):35-46.
[59] Tsutsumi S,Hashiguchi K.General non-proportional loading behavior of soils[J].International Journal of Plasticity,2005,21:1941-1969.
[60] De G V,Pereira J M.A viscoplastic constitutive model for unsaturated geomaterials[J].Computer and Geotechnics,2013,54(10):143-151.
[61] Painter S L,Karra S.Constitutive model for unfrozen water content in subfreezing unsaturated soils[J].Vadose Zone Journal,2014,13(4):0071.
[62] Domaschuk L,Valliappan P.Nonlinear settlement analysis by finite element[J].Journal of the Geotechnical Engineering Division,1975,101:601-614.
[63] Wood D M.Soil behavior and critical state soil mechanics.Combridge,United Kingdom:Combridge University Press,1990.
[64] Liu Huabei.A cyclic constitutive model for soil structure interface based on critical state soil mechanics[C]//National Symposium on Geodynamics,Beijing.2006:125-131.[刘华北.基于临界状态土力学理论的土与结构物接触面反复受载本构模型[C]//全国土动力学学术会议,北京.2006:125-131.]
[65] Zeng Yining,Qu Zhijiong,Liu Kaiming,et al.An experimental study of nonlinear K-G model for soils[J].Journal of Sichuan University,1985(4):149-155.[曾以宁,屈智炯,刘开明,等.土的非线性K-G模型的试验研究[J].四川大学学报,1985(4):143-149.]
[66] Sun Tao,Zhang Gaoxi.Containing dilatancy and strain softening of earth′s K-G model[J].Rock and Soil Mechanics,2005,26(9):1369-1373.[孙陶,章高希.考虑土体剪胀性和应变软化性的K-G模型[J].岩土力学,2005,26(9):1369-1373.]
[67] Li Shunqun,Zhang Jianwei,Xia Jinhong.An improvement on Cam-Clay model and modified Cam-Clay model for intact soil[J].Rock and Soil Mechanics,2015,36(Suppl 2):215-220.[李顺群,张建伟,夏锦红.原状土的剑桥模型和修正剑桥模型[J].岩土力学,2015,36(增刊2):215-220.]
[68] Chang Dan.Research on the mechanical properties and constitutive model of silty sand after freeze-thaw cycles[D].Beijing:Beijing Jiaotong University,2016.[常丹.冻融循环下粉质砂土力学性质及本构模型研究[D].北京:北京交通大学,2016.]
[69] Li Dongwei,Cui Hao,Wang Renhe.Nonlinear rheological constitutive model for frozen sand under complex stress paths and its engineering application[J].Chinese Journal of Geotechnical Engineering,2008(10):1496-1501.[李栋伟,崔灏,汪仁和.复杂应力路径下人工冻砂土非线性流变本构模型与应用研究[J].岩土工程学报,2008(10):1496-1501.]
[70] Zhou Guoqing,Zhao Xiaodong,Li Shengsheng.Stress-strain properties for the frozen media sand at different temperature gradients during two stress paths[J].Chinese Journal of Geotechnical Engineering,2010,32(3):338-343.[周国庆,赵晓东,李生生.不同温度梯度两种应力路径冻结中砂应力-应变特性试验研究[J].岩土工程学报,2010,32(3):338-343.]
[71] Li Xiaolin,Wang Hongjian,Zou Shaojun,et al.Research state of deformation characteristics of frozen soil under cyclic loading and problems in frozen soil excavation[J].Journal of Glaciology and Geocryology,2017,39(1):92-101.[栗晓林,王红坚,邹少军,等.循环荷载下冻土变形特性研究现状及冻土开挖问题[J].冰川冻土,2017,39(1):92-101.]
[72] Chen Dun,Ma Wei,Wang Dayan,et al.Experimental study of deformation characteristics of frozen clay under directional shear stress path[J].Rock and Soil Mechanics,2018,39(7):2483-2490.[陈敦,马巍,王大雁,等.定向剪切应力路径下冻结黏土变形特性试验研究[J].岩土力学,2018,39(7):2483-2490.]
[73] Jiao Guide,Zhao Shuping,Ma Wei,et al.Deformation and strength of warm frozen soils under cyclic loading[J].Chinese Journal of Geotechnical Engineering,2013,35(8):1553-1558.[焦贵德,赵淑萍,马巍,等.循环荷载下高温冻土的变形和强度特性[J].岩土工程学报,2013,35(8):1553-1558.]
[74] Li Dongwei,Chen Junhao,Zhou Yan.Elastic-plastic constitutive model of artificial frozen soil based on cascadecorrelation artificial[J].Journal of China Coal Society,2016,41(Suppl 2):407-411.[李栋伟,陈军浩,周艳.复杂应力路径人工冻土三轴剪切试验及本构模型[J].煤炭学报,2016,41(增刊2):407-411.]
[75] Lai Yuanming,Xu Xiangtian,Dong Yuanhong,et al.Present situation and prospect of mechanical research on frozen soils in China[J].Cold Regions Science & Technology,2013,87:6-18.
[76] Zheng Yingren,Chen Chang′an.Yield criterion and constitutive relation for perfect plastic Rock-soil[J].Chinese Journal of Geotechnical Engineering,1984,6(5):13-22.[郑颖人,陈长安.理想塑性岩土的屈服条件与本构关系[J].岩土工程学报,1984,6(5):13-22.]
[77] Yi Yingfeng,Shi Jianyong,Zhou Qinghua.Multiple yield surface model and its application in engineering[J].West-China Exploration Engineering,2002,14(4):3-4.[伊颖锋,施建勇,周清华.多屈服面模型及其在工程中的应用[J].西部探矿工程,2002,14(4):3-4.]
[78] Zheng Yingren.Principle of geotechnical plastic mechanics:generalized plastic mechanics[M].Beijing:China Architecture & Building Press,2002.[郑颖人.岩土塑性力学原理:广义塑性力学[M].北京:中国建筑工业出版社,2002.]
[79] Ziegler H.Some extremum principles in irreversible thermodynamics with application to continuum mechanics[J].Progress in Solid Mechanics,1963,4:92-193.
[80] Ziegler H.Constitutive equations derived from the free energy and the dissipation function[C]// Developments in Mechanics.13-midwestern Mechanics Conference.Columbus:Columbus,OH,Chio State University,1985.
[81] Houlsby G T,Puzrin A M .Rate-dependent plasticity models derived from potential functions[J].Journal of Rheology,2002,46(1):113-126.
[82] Collins I F.The mathematical structure of the equations for quasi-static plane strain deformations of granular material[M]// Two phase flows and waves.New York:Springer,1990.
[83] Puzrin A M.Simple criteria for ploughing and runout in post-failure evolution of submarine landslides[J].Canadian Geotechnical Journal,2016,53(8):1305-1314.
[84] Collins I F,Hilder T.A theoretical framework for constructing elastic/plastic constitutive models of triaxialtests[J].International Journal for Numerical & Analytical Methods in Geomechanics,2002,26(13):1313-1347.
[85] Wang Qiusheng,Wang Yujie,Zhang Bo,et al.A constitutive model for soils based on thermomechanics[J].Rock and Soil Mechanics,2010,31(2):350-354.[王秋生,王玉杰,张波,等.一个基于热力学的土体本构模型[J].岩土力学,2010,31(2):350-354.]
[86] Li Ning,Chen Bo,Chen Feixiong,et al.The coupled heat-moisture-mechanic model of the frozen soil[J].Cold Regions Science & Technology,2000,31(3):199-205.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |