PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

The Evolution of strain localisation in a hypoplastic cosserat material under shearing

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Numerical studies of the evolution of strain localisation and polar effects within a plane layer of a granular material under monotonic shearing are presented. Herein a micro-polar approach is formulated within the framework of a hypoplastic Cosserat continuum to describe the essential properties of a dry and cohesionless granular material like sand. The constitutive model is based on incremental non-linear tensor-valued functions and captures the influence of the pressure, the void ratio, the mean grain diameter and the rotation resistance of the grains on the evolution of the stresses and couple stresses. The Cosserat boundary conditions are suitable to model the rotation resistance at the interface between the granular layer and the surfaces adjoining the boundaries of the granular body. The numerical investigations show that the location, thickness and evolution of strain localisation within the shear layer are strongly influenced by the boundary conditions and the initial state quantities.
Rocznik
Strony
469--484
Opis fizyczny
Bibliogr. 27 poz., rys.
Twórcy
autor
  • Institute of General Mechanics, Graz University of Technology, Kopernikusgasse 24, A-8020 Graz, Austria
autor
  • Institute of General Mechanics, Graz University of Technology, Kopernikusgasse 24, A-8020 Graz, Austria
Bibliografia
  • [1] Bauer I:, and Tejchman J.. Numerical study of the effect of grain rotations on nhitcrial behaviour in a fault zone, Proc. of the 2"' Int. Conf. on the Mechanics of Jointed and Faulted Roek. ed. Rossmanith, Balkema, 1995,317. 1995
  • [2] Bauer E., Calibration of a comprehensive hypoplastic mode! for granular materials. Soils and Foundations, 36. 13. 1996
  • [3] Bauer E. and Huang W.. Numerical investigation of polar effects in a Cosserat material under shearing, Proc. of the Int. Workshop on Fracture Meehanies and Advanced Engineering Materials, Sydney, Australia, University of Sydney, 311, 1999
  • [4] Bauer E., Conditions for embedding Casagrande's critical states into hvpoplaslicitv. Mechanics of Cohesive-Frictional Materials, No. 5, 125,2000
  • [5] Bogdanova-Bontcheva N. and Lippmann H„ Rotationssymmetrisches ebencs F/iessen vinesgranularen, Modellmaterials Acta Mechanica. 21, 93, 1975
  • [6] de Bonn R., Miihlhaus If. B.. Pamin J. and Sluys L.Y., Computational modelling of localisation of deformation, Proc. 3,h Int. Conf. Comp. Plast, Pincridge Press, Swansea, * 483,1992
  • [7] Gudehus G., Localisation in granular bodies — Position and objectives, Proc. of the 3th Int. Workshop on Localisation and Bifurcation Theory for Soils and Rocks, eds. Chambon, Dcsrucs and Vardoulakis, Balkema, 1994,3, 1993
  • [8] Gudehus G., A comprehensive constitutive equation for granular materials. Soils and Foundations, 36, 1, 1996
  • [9] Gudehus G., Attractors, percolation thresholds and phase limits of granular soils. Powders and grains, eds. Behungcr and Jenkins, Balkema, 169, 1997
  • [10] Gudehus G., Shear localisation in simple grain skeleton with polar effect, Proc. of the 4th Int. Workshop on Localisation and Bifurcation Theory for Soils and Rocks, eds. Adaehi. Oka and Yashima. Balkema, 1998,3, 1997
  • [11] Hcrle I. and Tcjchman J., Effects of grain size and pressure level on bearing capacity of footings on sand, Deformation and Progressive Failure in Geomechanics, eds. Asaoka, Adaehi and Oka, Elsevier Science, 781,1997
  • [12] Hcrle I. and Gudehus G., Determination of parameters of a hypoplastic constitutive mode! from properties of grain assemblies. Mechanics of Cohesive-Frictional materials, 4,461, 1999
  • [13] Miihlhaus H. B., Shear band analysis in granular materials by Cosserat theory. Ing. Arch., 56,271,1986
  • [14] Miihlhaus H. B. and Vardoulakis I. , The thickness of shear hands in granular materials, Geotechniquc, 37,271, 1987
  • [15] Nagtcgaal J. C, Parks D. M. and Rice J. R„ On numerically accurate finite element solutions in the fully plastic range. Comp. Meth. Appl. Mcch. Engng., 4, 153. 1974
  • [16] Oda M., Micro-fabric and couple stress in shear bands of granular materials, Powders and Grains, ed. C. Thornton, 3, 161, 1993
  • [17] Oda M., Iwashita K. and Kazama H., Micro-structure developed in shear hands of dense granular soils and its computer simulation — Mechanism of dilatanev and failure, In IUTAM Symposium on Mechanics of Granular and Porous Materials, Cambridge, U.K., eds. Fleck Cocks, 353,1996
  • [18] Oda M., Tatsuoka F. and Yoshida T., Void ratio in shear hand of dense granular soils. Deformation and Progressive Failure in Geomechnaics, eds. Asaoka, Adaehi and Oka. Pcrgamon, 157,1997
  • [19] Roscoe K. H., The influence of strains in soil mechanics, 10,h Rankine Lecture. Geotechnique, 20, 129, 1970
  • [20] Tejchman J., Sehcrzoncnhildung wul Verspanniingseffekte in Granulaten unter Beriicksichtigung von Korndrehungen, Veroffentlichungen des Institutes fur Bodenmechanik und Felsmechanik der Universitat Fridericiana in Karlsruhe, 117. 1989
  • [21] Tcjchman J. and Bauer E., Numerical simulation of shear hand formation with a polar hypoplastic constitutive model, Computers and Geotechnics, 19, 221, 1996
  • [22] Tejchman J., Numerical modelling of shear localisation with a polar hypoplastic approach, Proc. of the 4,h Int. Workshop on Localisation and Bifurcation Theory for Soils and Rocks, eds. Adaehi, Oka and Yashima, Balkema, 1996,323, 1998
  • [23] Tejchman J., Modelling of shear localisation and autogeneous dynamic effects in granular bodies, Veroffentlichungen des Inst .ites fur Bodenmechanik und Felsmechanik der Universitat Fridericiana in Karlsruhe, 140, 1997
  • [24] Tejchman J. and Gudehus G., Shearing of a narrow granular layer with polar quantities. Submitted to Int. J. Num. Anal. Meth. Geomech, 1999
  • [25] Uesugi M., Kish' la H. and Tsubakihara Y., Behaviour of sand particles in sand-steel friction, Soils and Foundations, 28, 107, 1998
  • [26] Vardoulakis I. and Sulem J., Bifurcation Analysis in Geomechanics, Blackie Academic & Professional. London, 1995
  • [27] Wehr W„ Tejehman J.. Herle I. and Gudehus G., Sand anchors — a shear rone problem, Deformation and Progressive Failure in Geomechanics, eds. Asaoka. Adachi and Oka, Elsevier Science, 787,1997
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0018-0009
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.