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A Comprehensive constitutive equation for granular materials

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Języki publikacji
EN
Abstrakty
EN
constitutive equation is proposed for describing changes of states of granular materials, which are sufficiently characterised by the void ratio and the stress tensor. It may be considered as an extension of the Critical State concept. It is based on recently published hypoplastic equations and covers a wide range of densities, pressures and deformations. A factorial decomposition allows a rather easy separation and determination of material parameters. Two factors depend on a relative void ratio so that it remains within lower and upper bounds. The bounding void ratios decrease monotonously from maximal values to zero with increasing pressure. The same reduction of the void ratio is proposed for an isotropic compression starting from a suspension. Thus a granulate hardness is defined, and a stiffness factor can be determined. Four material parameters can be estimated from classification tests and determined from the asymptotic behaviour in element tests. Four further parameters are determined by calibration; they are rather constant for wide groups of materials. Strength and stiffness values can be derived and used for the analysis of deformations, stability, and flow. The viscous behaviour is modelled by a rate dependent factor with one further parameter. Limitations and possible extensions of this comprehensive approach are also outlined.
Rocznik
Strony
319--342
Opis fizyczny
Bibliogr. 21 poz., rys
Twórcy
autor
  • Institute for Soil Mechanics and Rock Mechanics, University of Karlsruhe, Enger-Bunte-Ring, D-76128 Karlsruhe, Germany
Bibliografia
  • [1] Bauer E. and Wu W., A hypoplastic mode! for granular soils under cyclic loading. Proc. Int. Workshop on Modern Approaches to Plasticity for Granular Materials, 1 lorton, Greece, Kolymbas D. (ed), Elsevier. 1993
  • [2] Bauer E., Calibration of a comprehensive hypoplastic mode! for granular materials. Soils and Foundations, Jap. Soc. Soil Mech. 36, 13, 1996
  • [3] De Boer P. and Ehlers W., Upon friction and capillarity. Int. Journ. Solids Structures. 26,43, 1990
  • [4] Gudehus G., A comparison of some constitutive laws for soils under radially symmetric loading and unloading. Proc. Conf. on Num. Meth. in Geomech.. Aachen 1309,1979
  • [5] Gudehus G.. Bodenmechanik. Enke, Stuttgart. 1981
  • |6] Gudehus G., Seitendruck aufpfcihlen in tonigen Bdden. Geotechnik 2/84. 73. I 984
  • [7] Gudehus G., Spontaneous liquefaction of saturated granular bodies. Proc. Int. Workshop Modem Approaches to Plasticity for Granular Materials. Horton. Greece. Kolymbas D. (ed.), Elsevier, 1993
  • [8] Gudehus G., Localization in granular bodies -position and objectives. Localization and Bifurcation Theory for Soils and Rocks, Chambon R. et al. (cds.), Balkema 3. 1994
  • [9] Hill R., A general theory of uniqueness and stability in elastic -plastic solids. Jour, of the Mech. and Phys. of Solids 6. 236. 1958
  • [10] Ilvorslev M. J., Physical components of the shear strength of saturated clays, in: Shear Strength of Cohesive Soils, ASCE, Univ. of Colorado 169, 1960
  • [11] Kolymbas D., E ine konstitulive Theorie fur Bdden und andere granidare Stuff’. VerolYentlichungen des Instituts fur Bodenmechanik und Fclsmechanik der IJniversiuit Karlsruhe, Heft 109, 1988
  • [12] Kolymbas D., An outline of hypoplasticity. Arch. App. Mech. 61,143. 1991
  • [13] Kolymbas D. and Wu W.. Introduction to hypoplasticity. Proc. Int. Workshop on Modern Approaches to Plasticity for Granular Materials, Horton, Greece. Kolymbas I). (ed.), Elsevier, 1993
  • [14] Lcinenkugel H. J., Deformations und Festigkeitsverhalten Bindiger Erdstoffc Experimentelle Ergebnisse und Physika/ische Deutung. Vcrdffcntlichungen des Instituts fur Bodenmechanik und Felsmechanik der Universitat Karlsruhe. I left 67. 1976
  • [15] Raju V. R., Sponlanc Verfliissigung lockerer granularer Korper-Phanomene, Ursachen, Vermeidung, Veroffentlichungen des Instituts fiir Bodenmechanik und Fclsmcchanik der Universitat Karlsruhe, Heft 132, 1994
  • [16] Schocficld A. and Wroth R., Critical State Soil Mechanics, Me Craw Hill. London, 1968
  • [17] Sckiguchi H., Theory of undrained creep rapture of normally consolidated day based on elasto-viscoplastieity, Soils and Foundations 24, 129, 1984
  • [18] Tejchman ,(., Numerical study on localized deformation in a Cosserat continuum. Localization and Bifurcation Theory for Soils and Rocks. Chambon R. et al. (eds.). Balkema 257,1994
  • [19] Winter 1L, Flieflen von Tonbdden: Pine mathematische Tlteorie und ihre Ammndung aufden Fliefhviderstand von Pfdhlen, Veroffentlichungen des Instituts fur Bodenmechanik und Felsmechanik der Universitiit Karlsruhe, Heft 82, 1979
  • [20] Wu W. and Bauer E., A hypoplastic model for barotropy and pvknotropv of granuiar soils, Proc. Int. Workshop on Modern Approaches to Plasticity for Granular Materials, Horton, Greeee, Kolymbas D. (cd.), Elsevier, 1993
  • [21 ] Wu W., Bauer E„ Niemunis A. and Herlc L, Viscohvpoplastic models for cohesive soils, Proc. Int. Workshop on Modern Approaches to Plasticity for Granular Materials. I lorton, Greece, Kolymbas D. (ed.), Elsevier. 1993
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0018-0001
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