A local constitutive model with anisotropy for ratcheting under 2D axial-symmetric isobaric deformation

Granular Matter

Volumn 13, Issue 3, 2011, Pages 225-232

  Magnanimo, V ^a   Luding, S ^a  

^a CTW   (Netherlands)

Author keywords

Biaxial box; Constitutive modeling with anisotropy; Isobaric cyclic loading; Ratcheting

Indexed keywords

ADDITIONAL STRESS; BIAXIAL BOX; CO-ORDINATE SYSTEM; COMPRESSIVE STRAIN; CONSTITUTIVE MODELING; CONTRACTANCY; CRITICAL STATE; CYCLIC LOADINGS; EVOLUTION EQUATIONS; LIMIT VALUES; NON-LINEAR; RATCHETING; SCALAR VALUES; SHEAR STRESS RATIO; SIMPLIFIED MODELS;

CONSTITUTIVE MODELS; CRITICAL CURRENT DENSITY (SUPERCONDUCTIVITY); CYCLIC LOADS; DEFORMATION; ELASTICITY; SHEAR STRESS; STRAIN;

ANISOTROPY;

EID: 79958090929     PISSN: 14345021     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10035-011-0266-3     Document Type: Article

References (25)

1. F. Alonso-Marroquin H.J. Herrmann 2004 Ratcheting of granular materials Phys. Rev. Lett 92 5 054301 2004PhRvL..92e4301A 10.1103/PhysRevLett.92.054301
2. F. Alonso-Marroquin S. Luding H.J. Herrmann I. Vardoulakis 2005 Role of anisotropy in the elastoplastic response of a polygonal packing Phys. Rev. E 71 0513404 10.1103/PhysRevE.71.051304 (Pubitemid 41480925)
3. Y. Chen I. Ishibashi J. Jenkins 1988 Dynamic shear modulus and fabric: part I, depositional and induced anisotropy Géotechnique 1 38 25 32 10.1680/geot.1988.38.1.25 (Pubitemid 18580427)
4. Y. Chen I. Ishibashi J. Jenkins 1988 Dynamic shear modulus and fabric: part II, stress reversal Géotechnique 1 38 33 37 (Pubitemid 18580428)
5. P.G. de Gennes 1999 Granular matter: a tentative view Rev. Mod. Phys. 71 2 374 382 10.1103/RevModPhys.71.S374
6. L. Geng G. Reydellet E. Clément R.P. Behringer 2003 Green's function measurements in 2D granular materials Physica D 182 274 303 2003PhyD..182..274G 1052.74002 10.1016/S0167-2789(03)00137-4
7. Goddard, J.: Granular hypoplasticity with Cosserat effects. In: Goddard, J., Giovine, P., Jenkins, J.T. (eds.) IUTAM-ISIMM Symposium on Mathematical Modeling and Physical Instances of Granular Flows, AIP, 14-18 September 2009, pp. 323-332. Reggio Calabria (Italy) (2010)
8. F. Göncü O. Duran S. Luding 2010 Constitutive relations for the isotropic deformation of frictionless packings of polydisperse spheres C. R. Mecanique 338 10-11 570 586 2010CRMec.338..570G
9. H.M. Jaeger S.R. Nagel R.P. Behringer 1996 Granular solids, liquids, and gases Rev. Mod. Phys 68 4 1259 1273 1996RvMP...68.1259J 10.1103/RevModPhys.68. 1259
10. Jenkins J., Cundall P., Ishibashi I.: Micromechanical modeling of granular materials with the assistance of experiments and numerical simulations. In: Biarez, J., Gourves, M. (eds) Powders and Grains, pp. 257-264. Balkema, Rotterdam (1989)
11. Y. Jiang M. Liu 2009 Granular solid hydrodynamics Granul. Matter 11 3 139 156 10.1007/s10035-009-0137-3
12. Y. Khidas X. Jia 2010 Anisotropic nonlinear elasticity in a spherical-bead pack: influence of the fabric anisotropy Phys. Rev. E 81 21303 2010PhRvE..81b1303K 10.1103/PhysRevE.81.021303
13. D. Kolymbas 1991 An outline of hypoplasticity Arch. App. Mech. 61 143 154 0734.73023
14. Luding S.: Micro-macro models for anisotropic granular media. In: Vermeer, P.A., Ehlers, W., Herrmann, H.J., Ramm, E. (eds) Modelling of Cohesive-Frictional Materials, pp. 195-206. Balkema, Leiden, The Netherlands (2004)
15. S. Luding 2005 Anisotropy in cohesive, frictional granular media J. Phys.: Condens. Matter 17 S2623 S2640 2005JPCM...17S2623L 10.1088/0953-8984/17/ 24/017 (Pubitemid 40871974)
16. S. Luding F. Alonso-Marroquin 2011 The critical-state yield stress (termination locus) of adhesive powders from a single numerical experimen Granul. Matter 13 2 109 119 10.1007/s10035-010-0241-4
17. Luding, S., Perdahcioglu, S.: A local constitutive model with anisotropy for various homogeneous 2D biaxial deformation modes. CIT, doi: 10.1002/cite.201000180 (2011)
18. H. Muhlhaus L. Moresi L. Gross J. Grotowski 2010 The influence of non-coaxiality on shear banding in viscous-plastic materials Granul. Matter 12 229 238 10.1007/s10035-010-0176-9
19. Sun, J., Sundaresan, S.: A plasticity model with microstructure evolution for quasi-static granular flows. In: Goddard, J., Giovine, P., Jenkins, J.T. (eds.) IUTAM-ISIMM Symposium on Mathematical Modeling and Physical Instances of Granular Flows, 14-18 September 2009, AIP, pp. 280-289. Reggio Calabria (Italy) (2010)
20. Sun, J., Sundaresan, S.: A plasticity model with microstructure evolution for quasi-static granular flows. J. Fluid Mech. (2010 submitted)
21. F. Tatsuoka K. Ishihara 1974 Drained deformation of sand under cyclic stresses reversing direction Soils. found. 3 14 51 65
22. J. Tejchman E. Bauer W. Wu 2007 Effect of fabric anisotropy on shear localization in sand during plane strain compression Acta Mech. 189 23 51 1127.74011 10.1007/s00707-006-0416-6 (Pubitemid 46324494)
23. I. Vardoulakis G. Frantziskonis 1992 Micro-structure in kinematic-hardening plasticity Eur. J. Mech. A Solids 11 4 467 0765.73021
24. Vardoulakis I., Sulem J.: Bifurcation Analysis in Geomechanics. Chapman and Hall, London (1995)
25. J. Zhang T.S. Majmudar A. Tordesillas R.P. Behringer 2010 Statistical properties of a 2D granular material subjected to cyclic shear Granul. Matter 12 159 172 10.1007/s10035-010-0170-2