An improved hypoplastic constitutive model of rockfill considering effect of stress path
An incrementally nonlinear hypoplastic constitutive model was introduced, which was developed without recourse to the concepts in elastoplasticity theory such as yield surface, plastic potential and the decomposition of the deformation into elastic and plastic parts. Triaxial drained tests on rockfi...
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Published in | Journal of Central South University of Technology. Science & technology of mining and metallurgy Vol. 16; no. 6; pp. 1006 - 1013 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Changsha
Central South University
01.12.2009
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Subjects | |
Online Access | Get full text |
ISSN | 1005-9784 1993-0666 |
DOI | 10.1007/s11771-009-0167-3 |
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Abstract | An incrementally nonlinear hypoplastic constitutive model was introduced, which was developed without recourse to the concepts in elastoplasticity theory such as yield surface, plastic potential and the decomposition of the deformation into elastic and plastic parts. Triaxial drained tests on rockfill were conducted on a large scale triaxial apparatus under two types of stress paths, which were the stress paths of constant stress ratio and the complex stress paths with transitional features. Motivated by the effect of stress path, the Gudehus-Bauer hypoplastic model was improved by considering the parameter variations with different ratios of stress increment. Fitting parameter
α
presents a piecewise linear relationship with cosine of the slope angle
θ
determined by instantaneous stress path. The improved hypoplastic model can present peak stress increasing and volumetric strain changing from dilatancy to contractancy with the increase of transitional confining pressure
σ
3t
and the decrease of slope angle
θ
of stress path. Compared with the test data, it is shown that the model is capable of fully considering the effect of stress path on rockfill. |
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AbstractList | An incrementally nonlinear hypoplastic constitutive model was introduced, which was developed without recourse to the concepts in elastoplasticity theory such as yield surface, plastic potential and the decomposition of the deformation into elastic and plastic parts. Triaxial drained tests on rockfill were conducted on a large scale triaxial apparatus under two types of stress paths, which were the stress paths of constant stress ratio and the complex stress paths with transitional features. Motivated by the effect of stress path, the Gudehus-Bauer hypoplastic model was improved by considering the parameter variations with different ratios of stress increment. Fitting parameter
α
presents a piecewise linear relationship with cosine of the slope angle
θ
determined by instantaneous stress path. The improved hypoplastic model can present peak stress increasing and volumetric strain changing from dilatancy to contractancy with the increase of transitional confining pressure
σ
3t
and the decrease of slope angle
θ
of stress path. Compared with the test data, it is shown that the model is capable of fully considering the effect of stress path on rockfill. |
Author | Zhang, Zong-liang Chi, Shi-chun Xiang, Biao |
Author_xml | – sequence: 1 givenname: Biao surname: Xiang fullname: Xiang, Biao email: bxiangdlut@yahoo.com.cn organization: School of Civil and Hydraulic Engineering, Dalian University of Technology – sequence: 2 givenname: Zong-liang surname: Zhang fullname: Zhang, Zong-liang organization: HydroChina Kunming Engineering Corporation – sequence: 3 givenname: Shi-chun surname: Chi fullname: Chi, Shi-chun organization: School of Civil and Hydraulic Engineering, Dalian University of Technology |
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Cites_doi | 10.1007/s11771-004-0037-y 10.1002/nag.1610181203 10.1139/t05-080 10.1109/MHS.1995.494215 10.3208/sandf.36.13 10.1007/s11771-006-0114-5 10.1002/(SICI)1099-1484(199909)4:5<461::AID-CFM71>3.0.CO;2-P 10.1016/0167-6636(90)90006-2 10.1016/0167-6636(96)00006-3 10.1002/(SICI)1099-1484(199607)1:3<251::AID-CFM13>3.0.CO;2-3 10.3208/sandf.36.1 10.1061/(ASCE)1090-0241(2004)130:1(36) |
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Keywords | triaxial drained test stress path rockfill constitutive model hypoplasticity |
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References_xml | – reference: DuncanJ. M.ByrneP. M.WongK. S.MabryP.Strength, stress — strain and bulk modulus parameters for finite element analysis of stresses and movements in soil masses[R]1980BerkeleyUniversity of California – reference: KolymbasD.A novel constitutive law for soils[C]The 2nd International Conference on Constitutive Laws for Engineering Materials1987New YorkElsevier319326 – reference: XuR.-q.GongX.-nan.Nonlinear stress-path dependent behavior of soils[J]Chinese Journal of Geotechnical Engineering19951745660 – reference: WangX.-bin.Unified analytical stress — strain curve for quasibrittle geomaterial in uniaxial tension, direct shear and uniaxial compression[J]Journal of Central South University of Technology200613199104140299610.1007/s11771-006-0114-5 – reference: WuW.KolymbasD.Numerical testing of the stability criterion for hypoplastic constitutive equations[J]Mechanics of Materials19909324525310.1016/0167-6636(90)90006-2 – reference: NgT. T.Behavior of gravity deposited granular material under different stress paths[J]Canadian Geotechnical Journal20054261644165510.1139/t05-080 – reference: VonW. P. A.Hypoplastic relation for granular materials with a predefined limit state surface[J]Mechanics of Cohesive-Frictional Materials19961325127110.1002/(SICI)1099-1484(199607)1:3<251::AID-CFM13>3.0.CO;2-3 – reference: CenW.-jun.Hypoplastic modeling for rockfill and numerical analysis of concrete face rockfill dam[D]2005NanjingCollege of Water Conservancy and Hydropower Engineering, Hohai University4952 – reference: NgW. W.FungW. T.CheukC. Y.ZhangL. M.Influence of stress ratio and stress path on behavior of loose decomposed granite[J]Journal of Geotechnical and Geoenvironmental Engineering20041301364410.1061/(ASCE)1090-0241(2004)130:1(36) – reference: MarachiN. D.ChanC. K.SeedH. B.DuncanJ. M.Strength and deformation characteristics of rockfill materials[R]1969BerkeleyUniversity of California – reference: GudehusG.A comprehensive constitutive equation for granular materials[J]Soils and Foundations199636111210.3208/sandf.36.1 – reference: CenW. J.WangX. X.BauerE.ZhuY. M.Study on hypoplastic constitutive modeling of rockfill and its application[J]Chinese Journal of Rock Mechanics and Engineering2007262312322 – reference: LiLiang.Application of intelligent optimization algorithms to the soil slope stability analysis[D]2005DalianDalian University of Technology3641 – reference: PengF.-l.LiJ.-zhong.Modeling of state parameter and hardening function for granular materials[J]Journal of Central South University of Technology200411217617910.1007/s11771-004-0037-y – reference: WuW.BauerE.Hypoplastic constitutive model with critical state for granular materials[J]Mechanics of Materials1996231456910.1016/0167-6636(96)00006-3 – reference: HerleI.GudehusG.Determination of parameters of a hypoplastic constitutive model from properties of grain assemblies[J]Mechanics of Cohesive-Frictional Materials19994546148610.1002/(SICI)1099-1484(199909)4:5<461::AID-CFM71>3.0.CO;2-P – reference: BauerE.Calibration of a comprehensive hypoplastic model for granular materials[J]Soils and Foundations19963611326140886310.3208/sandf.36.13 – reference: EberhartR.KennedyJ.New optimizer using particle swarm theory[C]The 6th International Symposium on Micro Machine and Human Science1995PiscatawayIEEE Service Center394310.1109/MHS.1995.494215 – reference: WuW.BauerE.A simple hypoplastic constitutive model for sand[J]International Journal for Numerical and Analytical Methods in Geomechanics1994181283386210.1002/nag.1610181203 – volume: 11 start-page: 176 issue: 2 year: 2004 ident: 167_CR4 publication-title: Journal of Central South University of Technology doi: 10.1007/s11771-004-0037-y – volume-title: Strength, stress — strain and bulk modulus parameters for finite element analysis of stresses and movements in soil masses[R] year: 1980 ident: 167_CR2 – volume: 18 start-page: 833 issue: 12 year: 1994 ident: 167_CR13 publication-title: International Journal for Numerical and Analytical Methods in Geomechanics doi: 10.1002/nag.1610181203 – volume: 42 start-page: 1644 issue: 6 year: 2005 ident: 167_CR7 publication-title: Canadian Geotechnical Journal doi: 10.1139/t05-080 – start-page: 39 volume-title: The 6th International Symposium on Micro Machine and Human Science year: 1995 ident: 167_CR19 doi: 10.1109/MHS.1995.494215 – volume-title: Strength and deformation characteristics of rockfill materials[R] year: 1969 ident: 167_CR1 – volume: 36 start-page: 13 issue: 1 year: 1996 ident: 167_CR12 publication-title: Soils and Foundations doi: 10.3208/sandf.36.13 – volume: 13 start-page: 99 issue: 1 year: 2006 ident: 167_CR5 publication-title: Journal of Central South University of Technology doi: 10.1007/s11771-006-0114-5 – volume: 4 start-page: 461 issue: 5 year: 1999 ident: 167_CR15 publication-title: Mechanics of Cohesive-Frictional Materials doi: 10.1002/(SICI)1099-1484(199909)4:5<461::AID-CFM71>3.0.CO;2-P – volume: 26 start-page: 312 issue: 2 year: 2007 ident: 167_CR17 publication-title: Chinese Journal of Rock Mechanics and Engineering – volume: 9 start-page: 245 issue: 3 year: 1990 ident: 167_CR9 publication-title: Mechanics of Materials doi: 10.1016/0167-6636(90)90006-2 – volume: 17 start-page: 56 issue: 4 year: 1995 ident: 167_CR3 publication-title: Chinese Journal of Geotechnical Engineering – volume: 23 start-page: 45 issue: 1 year: 1996 ident: 167_CR10 publication-title: Mechanics of Materials doi: 10.1016/0167-6636(96)00006-3 – start-page: 49 volume-title: Hypoplastic modeling for rockfill and numerical analysis of concrete face rockfill dam[D] year: 2005 ident: 167_CR16 – volume: 1 start-page: 251 issue: 3 year: 1996 ident: 167_CR14 publication-title: Mechanics of Cohesive-Frictional Materials doi: 10.1002/(SICI)1099-1484(199607)1:3<251::AID-CFM13>3.0.CO;2-3 – start-page: 36 volume-title: Application of intelligent optimization algorithms to the soil slope stability analysis[D] year: 2005 ident: 167_CR18 – start-page: 319 volume-title: The 2nd International Conference on Constitutive Laws for Engineering Materials year: 1987 ident: 167_CR8 – volume: 36 start-page: 1 issue: 1 year: 1996 ident: 167_CR11 publication-title: Soils and Foundations doi: 10.3208/sandf.36.1 – volume: 130 start-page: 36 issue: 1 year: 2004 ident: 167_CR6 publication-title: Journal of Geotechnical and Geoenvironmental Engineering doi: 10.1061/(ASCE)1090-0241(2004)130:1(36) |
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Title | An improved hypoplastic constitutive model of rockfill considering effect of stress path |
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