76
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Investigating instability in granular materials by means of a microstructural model

, &
Pages 167-186 | Published online: 04 Oct 2011

6. References

  • Biarez , J. and Hicher , P. Y. 1994 . Elementary Mechanics of Soil Behaviour Balkema 208
  • Chang , C. S. and Hicher , P.-Y. 2004 . “An elastic-plastic model for granular materials with microstructural consideration,” . International Journal of Solids and Structures , 42 : 4258 – 4277 .
  • Chang , C. S. , Sundaram , S. S. and Misra , A. 1989 . “Initial moduli of particulate mass with frictional contacts” . Int. J. for Numerical & Analytical Methods in Geomechanics , : 626 – 641 . John Wiley & Sons, vol. 13, n° 6
  • Christofferson , J. , Mehrabadi , M. M. and Nemat-Nassar , S. 1981 . “A micromechanical description on granular material behavior”, ASME . Journal of Applied Mechanics , 48 : 339 – 344 .
  • Chu , J. and Leong , W. K. 2003 . “Recent progress in experimental studies on instability of granular soil” . In International Workshop on Bifurcations and Instabilities in Geomechanics Edited by: Labuz , J. F. and Drescher , A. 175 – 191 . Lisse : Swets & Zeitlinger .
  • Darve , F. and Roguiez , X. 1998 . “Homogeneous bifurcation in soils” . In Localization and Bifurcation Theory for Soils and Rocks Adachi et al. (eds.) 43 – 50 . Rotterdam : Balkema .
  • Darve , F. , Servant , G. , Laouafa , F. and Khoa , H. D.V. 2004 . “Failure in geomaterials: continuous and discrete analyses” . Computer Methods in Applied Mechanics and Engineering , 193 ( n° 27–29 ) : 3057 – 3085 .
  • Darve , F. , Sibille , L. , Daouadji , A. and Nicot , F. 2007 . “Bifurcations in granular media: macro-and micro-mechanics approaches” . C. R. Mécanique , 335 : 496 – 515 .
  • Gajo , A. , Piffer , L. and De Polo , F. 2000 . “Analysis of certain factors affecting the unstable behaviour of saturated loose sand” . Mechanics of Cohesive-Frictional Materials , 5 : 215 – 237 .
  • Goddard , J. D. 2003 . “Material instability in complex fluids” . Annual Review of Fluid Mechanics , 35 : 113 – 133 .
  • Hicher , P. Y. 1998 . “Experimental behavior of granular materials” . In Behavior of Granular Materials Edited by: Cambou , B. 1 – 97 . Wien New York : Springer .
  • Hicher , P-Y. and Chang , C. S. 2007 . “An anisotropic non-linear elastic model for particulate materials” . J. Geotechnical and Geoenvironmental Engrg. ASCE , 132 ( n° 8 )
  • Hill , R. 1956 . “A general theory of uniqueness and stability in elasto-plastic solids” . J. Mechanics and Physics of Solids , 6 : 236 – 249 .
  • Lade , P. V. 2002 . “Instability, shear banding and failure in granular materials” . International Journal of Solids and Structures , 39 ( n° 13–14 ) : 3337 – 3357 .
  • Lanier , J. and Block , J. F. 1989 . “Essais à volume constant realisés sur presse tridimensionnelle” . Greco Geomaterials Report , : 240 – 243 .
  • Laouafa , F. and Darve , F. 2002 . “Modelling of slope failure by a material instability mechanism” . Computers and Geotechnics , 29 ( n° 4 ) : 301 – 325 .
  • Mindlin , R. D. and Deresiewicz , H. 1953 . “Elastic spheres in contact under varying oblique forces” . ASME Trans. J. Appl. Mech. , 20 : 327 – 344 .
  • Nova , R. 1994 . “Controllability of the incremental response of soil specimens subjected to arbitrary loading programs” . J. Mechanical Behaviour of Materials , 5 ( n° 2 ) : 193 – 201 .
  • Nova , R. and Imposimato , S. 1997 . “Non-uniqueness of the incremental response of soil specimens under true-triaxial stress paths” . In Numerical Models in Geomechanics Edited by: Pietruszczak and Pande . 193 – 198 . Balkema
  • Oda , M. 1977 . “Co-ordination number and its relation to shear strength of granular material” . Soils and Foundations , 17 ( n° 2 ) : 29 – 42 .
  • Rothenburg , L. and Selvadurai , A. P.S. 1981 . “Micromechanical definitions of the Cauchy stress tensor for particular media” . In Mechanics of Structured Media Edited by: Selvadurai , A. P.S. 469 – 486 . Amsterdam : Elsevier .
  • Rudnicki , J. W. and Rice , J. 1975 . “Conditions for the localization of deformation in pressure sensitive dilatant materials” . International Journal of Solids and Structures , 23 : 371 – 394 .
  • Sasitharan , S. , Robertson , P. K. , Sego , D. C. and Morgenstern , N. R. 1993 . “Collapse behavior of sand” . Canadian Geotechnical Journal , 30 ( n° 4 ) : 569 – 577 .
  • Schofield , A. N. and Wroth , C. P. 1968 . Critical State Soil Mechanics London : England, McGraw-Hill .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.