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Modelling of the pressure and density sensitive behaviour of sand within the framework of hypoplasticity

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Języki publikacji
EN
Abstrakty
EN
In this paper a hypoplastic model proposed by Gudehus and Bauer is presented which is apt to describe the mechanical behaviour of loose and dense sand within a wide range of pressures and densities using a single set of constants. State changes are assumed to depend on the current void ratio, the Cauchy stress tensor and the stretching tensor. The constitutive equation is of the rate type and based on non-linear tensor-valued functions. By including a pressure dependent relative density the hypoplastic model describes the influence of pressure and density on the incremental stiffness, the peak friction angle and on the void ratio in a stationary state. The performance of the hypoplastic models is discussed and the results of numerical simulations are compared with experiments.
Rocznik
Strony
367--388
Opis fizyczny
Bibliogr. 44 poz., rys.
Twórcy
autor
  • Institute of General Mechanics, Graz University of Technology, Kopernikusgasse 24, A-8020 Graz, Austria
Bibliografia
  • [1] BardetJ. P, Hypoplastic model for sand, J. Eng. Mechanics 116, 1973. 1990
  • [2] Bauer E., Mechanical behaviour of granular materials with special reference to oedometric loading. Pub. Series of Institute fur Bodenmechanik und Eclsmechanik der Universitiit Fridericiana in Karlsruhe, No. 130, 1992 (in German)
  • [3] Bauer E. and Wu W., A hypoplastic mode! for granular soils under cyclic loading. Proc. of the Int. Workshop on Modern Approaches to Plasticity, Elsevier, 247, 1993
  • [4] Bauer E„ Multi-step triaxial tests and high pressure oedometer tests with sand samples. Internal Report of the Institute of Soil Mechanics and Rock Mechanics, Karlsruhe University, 1993 (in German)
  • [5] Bauer E., Constitutive Modelling of Critical States in Hypoplasticity. Proceedings of the Fifth International Symposium on Numerical Models in Geomechanics. Davos. Switzerland. Balkema, 15-20,1995
  • [6] Bauer E. and Wu W., A hypoplastic constitutive model for cohesive powders. Powder Technology 85, 1, 1995
  • [7] Bauer E., Calibration of a comprehensive hypoplastic model for granular materials. Soils and Foundations 36, 13, 1996
  • [8] Bauer E. and Huang W., The dependence of shear banding on pressure and density in hypoplasticity, Proc. of the 4lh Lnt. Workshop on Localisation and Bifurcation Theory for Soils and Rocks, cds. Adachi, Oka and Yashima, Balkema, 81,1998
  • [9] Bauer E., Conditions for embedding Casagrande's critical states into hypoplasticity. Mechanics of Cohesive-Frictional Materials 5. 125,2000
  • [10] Been K., Jefferies M. G. and Hachey J., The critical state of sand. Geotechnique 41. 365,1991
  • [11] Bouvard D. and Stutz P., Experimental study of rheological properties of sand using a special tria.xial apparatus, Geotechnical Testing Journal, 9. 10. 1986
  • [12] Casagrande A., Characteristics of cohesionless soils affecting the stability of earth fills, J. Boston Soc. Civil Engrs., in Contribution to Soil Mech., 1925, 1936
  • [13] Chambon R. and Renoud-Lias B., Incremental non-linear stress-strain relationship for soil and integration by F.E.M. Numerical methods in geomechanics, cd. W. Wittke, Balkema, 1309,1979
  • [14] Da fa lias Y. F., Rounding surface plasticity: /. Mathematical foundation and hypophisticity,]. Engrg. Mech., ASCF. 112,966, 1986
  • [15] Darvc F., Contribution d la determination de la loi rheologique incrementale des sols, These de doctoral. Institut de Mecanique de Grenoble, France, 1974
  • [16] Dan e F. and Labanich S., Incremental constitutive law for sands and clays. Simulations of monotonic and cyclic tests, lnt. J. for Num. and Anal. Meth. in Geomechanics 6,243, 1982
  • [17] Gudehus G., A comprehensive constitutive Equation for granular materials. Soils and Foundations,36, I, 1996
  • [18] Gudehus G., Shear localisation in simple grain skeleton with polar effect. Proc. of the 4"' lnt. Workshop on Localisation and Bifurcation Theory for Soils and Rocks. Gifu, cds. Adachi, Oka and Yashima, Balkema, 3, 1998
  • [19] Gudehus G., Attractors, percolation thresholds and phase limits of granular soils. Powders and grains, eds. Behringer and Jenkins. Balkema, 169. 1997
  • [20] Merle I., A relation between parameters of a hypoplastic constitutive model and grain properties, 4"’ lnt. Workshop on Loacal. and Bifur. Theory for Soils and Rocks. Gifu, eds. Adachi. Oka and Yashima. Balkema, 91.1998
  • [21] Merle I. and Tejchman J., Effects of grain size and pressure level on bearing capacity of footings on sand. Deformation and Progressive Failure in Geomechanics, eds. Asaoka, Adachi and Oka, Elsev ier Science. 781,1998
  • [22] Merle I. and Gudehus G., Determination of parameters of a hypoplastic constitutive mode! from properties of grain assemblies. Mechanics of Cohesive-Frictional Materials (in print), 1999
  • [23] Miigel M. M., Prognose von Bodenverformungen, Pub. Scries of Institute fur Bodenmechanik und Felsmechanik der Univcrsitat Fridericiana in Karlsruhe, No. 136, 1995
  • [24] Kolymbas D., A rate-dependent constitutive Equation for soils, Mech. Res. Comm 4. 367,1977
  • [25] Kolymbas D., A generalized hypoelastic constitutive law, Proc. 11"1 lnt. Conf. Soil Mechanics and Foundation Engineering, Vol. 5, Balkema 1988,2626, 1985
  • [26] Kolymbas D., An outline of hypoplasticity, Archive of Applied Mechanics 61, 143. 1991
  • [27] Kolymbas D. and Bauer E., Soft oedometer — a new testing device and its application for the calibration of hypoplastic constitutive laws, Geotechnical Testing Journal. GTJODJ 16.263.1993
  • [28] Matsuoka H. and Nakai T, Stress-deformation and strength characteristics of soil under three different principal stresses, Proc. Japanese Society of Civil Engineers 232. 59,1974
  • [29] Matsuoka H. and Nakai T., Stress-strain relationship of soil based on the SMP, Proc. of Speciality Session 9, IX Int. C'onf. Soil Mech. Found. Eng., Tokyo. 153. 1977
  • [30] Niemunis A. and Merle 1.. Hypoplastic mode!for cohesionless soils with elastic strain range. Mechanics of Cohesive-Frictional Materials 2,279, 1997
  • [31] Poulos S. .1., The steady state of deformation, J. Geotechn. Eng. Am. Soc. Civ. Eng. 17, 553,1981
  • [32] Schofield A. N. and Wroth C. P., Critical State Soil Mechanics, McGraw- Hill, London. 1968
  • [33] Tatsuoka F., Some recent developments in tria.xial testing systems for cohesionless soils, state-of-the-art, ASTM, STP 977, 7, 1988
  • [34] Tejchman J. and Bauer E., Numerical simulation of shear band formation with.a polar hypoplastic constitutive model, Computers and Geotechnics 19, 221, 1996
  • [35] Tejchman J. and Gudehus G., Shearing of a narrow granular layer with polar quantities, submitted to Int. J. Num. Anal. Mcth. Geomech, 1999
  • [36] Valanis K. C. and Lee C. F., Some Recent Developments of the Endochronic Thcorv with Applications, Nuclear Engineering and Design 69, 327, 1982
  • [37] von Wolffersdorff P. A., A hypoplastic relation for granular materials with a predefined limit state surface. Mechanics of Cohesive-Frictional Materials 1.251, 19%
  • [38] von Wolffersdorff, P. A., Verformungsprognosen fur Stiitzkonstruktionen, Pub. Scries of Institute fur Bodcnmechanik und Felsmechanik der Universitiit Fridericiana in Karlsruhe, No. 141, 1997
  • [39] Wang Z. L., Dafalias Y. F. and Shen C. K., Bounding surface hypoplasticity mode! for sand, J. of F.ng. Mechanics 116,983, 1990
  • [40] Wood D. M. and Budhu M.,The behaviour of Leighton Buzzard sand in cyclic simple shear tests. International Symposium on Soils under Cyclic and Transient Loading. Swansea, 9-21, 1980
  • [41] Wu W. and Kolymbas D., Numerical testing of the stability criterion for hypoplastic constitutive Equations, Mechanics of Materials 9, 245, 1990
  • [42] Wu W., Hypoplasticity as a mathematical model for the mechanical behaviour of granular materials. Publication Series of the Institute of Soil Mechanics and Rock Mechanics, Karlsruhe University, No. 129,1992
  • [43] Wu W. and Bauer E., A hypoplastic mode! for barotropy and pyknotropy of granular soils, Proc. of the Int. Workshop on Modern Approaches to Plasticity, Elsevier. 225, 1993
  • [44] Wu W., Bauer E. and Kolymbas D., Hypoplastic constitutive model with critical state for granular materials, Mechanics of Materials 23, 45, 1996
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0018-0003
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