STUDY OF NONLINEAR ELASTIC MODEL OF SAND BASED
ON STATE PARAMETERS
CHEN Cheng,ZHOU Zhengming
(State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,
Chinese Academy of Sciences,Wuhan,Hubei 430071,China)
Abstract:Mechanical and deformational characteristics of sands are significantly affected by density and effective confining pressure. In order to reflect the effect of the two factors,the nonlinear elastic model with three-parameters (compression modulus K0,Young?s modulus and coefficient of volumetric deformation),which was proposed by SHEN Zhujiang based on the initial strain method was modified. Firstly,a description mode of K0 compression curve was established,which could describe the effect of initial state effectively. Then,the variable of virtual peak deviator stress was defined based on state parameter;and a new description mode of shear curve was proposed so as to reflect the effect of density and effective confining pressure. In addition,dilatancy equation was also introduced to describe deformational characteristics of sand. Mathematical description of the modified model is simple,and only ten parameters are involved and easy to identify. Finally,the modified model was used to simulate drained and undrained triaxial tests. A good agreement between computed results and measured results show that the modified model can describe the effect of variation of state parameter on the mechanical and deformation characteristics of sands accurately,so as to verify the rationality of the model primarily.
陈 成,周正明. 基于状态参数的砂土非线性弹性模型研究[J]. 岩石力学与工程学报, 2013, 32(2): 369-376.
CHEN Cheng,ZHOU Zhengming . STUDY OF NONLINEAR ELASTIC MODEL OF SAND BASED
ON STATE PARAMETERS. , 2013, 32(2): 369-376.
[1] VERDUGO R,ISHIHARA K. The steady state of sandy soils[J]. Soils and Foundations,1996,36(2):81–91.
[2] BEEN K,JEFFERIES M G. A state parameter for sands[J]. Geotechnique,1985,35(2):99–112.
[3] JEFFERIES M G. Nor-sand:a simple critical state model for sand[J]. Geotechnique,1993,43(1):91–103.
[4] MANZARI M T,DAFALIAS Y F. A critical state two surface plasticity model for sands[J]. Geotechnique,1997,47(2):255–272.
[5] LI X S,DAFALIAS Y F. Dilatancy for cohesionless soil[J]. Geotechnique,2000,50(4):449–460.
[6] GAJO A,WOOD M D. Severn-Trent sand:a kinematic- hardening constitutive model:the q-p formulation[J]. Geotechnique,1999,49(5):595–614.
[7] 罗 刚,张建民. 考虑物理状态变化的砂土本构模型[J]. 水利学报,2004,(7):26–31.(LUO Gang,ZHANG Jianmin. Constitutive model for sand considering the variation of its physical state[J]. Journal of Hydraulic Engineering,2004,(7):26–31.(in Chinese))
[8] DUNCAN 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):1 629–1 653.
[9] 沈珠江. 考虑剪胀性的土和石料的非线性应力应变模式[J]. 南京水利水运科学研究,1986,(4):1–14.(SHEN Zhujiang. A nonlinear dilatant stress-strain model for soils and rock materials[J]. Journal of Nanjing Hydraulic Research Institute, 1986,(4):1–14.(in Chinese))
[10] LI X S,WANG Y. Linear representation of steady-state line for sand[J]. Journal of Geotechnical and Geoenvironmental Engineering,1998,124(12):1 215–1 217.
[11] DAFALIAS Y F,MANZARI M T. Simple plasticity sand model accounting for fabric change effects[J]. Journal of Engineering Mechanics,2004,130(6):622–634.
[12] WAN R G,GUO P J. A simple constitutive model for granular soils:modified stress-dilatancy approach[J]. Computers and Geotechnics,1998,22(2):109–133.
[13] WANG Z L,DAFALIAS Y F,LI X S,et al. State pressure index for modeling sand behavior[J]. Journal of Geotechnical and Geoenvironmental Engineering,2002,128(6):511–519.
[14] LASHKARI A. On the modeling of the state dependency of granular soils[J]. Computers and Geotechnics,2009,36(7):1 237–1 245.
[15] PESTANA J M,WHITTLE A J. Compression model for cohesionless soils[J]. Geotechnique,1995,45(4):611–631.
[16] NAKATA Y,KATO Y,HYODO M,et al. One-dimensional compression behavior of uniformly graded sand related to single particle crushing strength[J]. Soils and Foundations,2001,41(2):39–51.
[17] SHENG D C,YAO Y P,CARTER J P. A volume-stress model for sands under isotropic and critical stress states[J]. Canadian Geotechnical Journal,2008,45(11):1 639–1 645.
[18] 岑威钧,王修信,BAUER E,等. 堆石料的亚塑性本构建模及其应用研究[J]. 岩石力学与工程学报,2006,26(2):312–322.(CEN Weijun,WANG Xiuxin,BAUER E,et al. Study on hypoplastic constitute modeling of rockfill and its application[J]. Chinese Journal of Rock Mechanics and Engineering,2006,26(2):312–322.(in Chinese)).
[19] RICHART F E,HALL J R,WOODS R D. Vibrations of soils and foundations[M]. Englewood Cliffs,NJ:Prentice-Hall,1970:151–152.
[20] WOOD D M,BELKHEIR K,LIU D F. Strain softening and state parameter for sand modeling[J]. Geotechnique,1994,44(2):335–339.
[21] ISHIHARA K,TATSUOKA F,YASUADA S. Undrained deformation and liquefaction of sand under cyclic stresses[J]. Soils and Foundations,1975,15(1):29–44.