261
Views
20
CrossRef citations to date
0
Altmetric
Articles

Granular media failure along triaxial proportional strain paths

, , , &
Pages 777-790 | Received 11 Mar 2013, Accepted 21 Jun 2013, Published online: 01 Aug 2013

References

  • Chu , J. and Wanatowski , D. 2008 . Instability conditions of loose sand in plane strain . Journal of Geotechnical and Geoenvironmental Engineering , 134 : 136 – 142 .
  • Cundall , P. A. 1987 . “ Distinct element models for rock and soil structure ” . In Analytical and computational methods in engineering rock mechanics , Edited by: Brown , E. T. 129 – 163 . London : George Allen and Unwin .
  • Cundall , P. A. and Strack , O. D. L. 1979 . A discrete numerical model for granular assemblies . Géotechnique , 29 : 47 – 65 .
  • Daouadji , A. , AlGali , H. , Darve , F. and Zeghloul , A. 2010 . Instability in granular materials: Experimental evidence of diffuse mode of failure for loose sands . Journal of Engineering Mechanics , 136 : 575 – 588 .
  • Daouadji , A. , Darve , F. , Al Gali , H. , Hicher , P. Y. , Laouafa , F. , Lignon , S. , … and Wan , R. 2011 . Diffuse failure in geomaterials, experiments, theory and modelling . International Journal for Numerical and Analytical Methods in Geomechanics , 35 : 1731 – 1773 .
  • Daouadji, A., Hicher, P. Y., Jrad, M., Sukumaran, B., & Belouettar, S. (in press). Experimental and numerical investigation of diffuse instability in granular materials using a micro-structural model. Géotechnique. doi:10.1680/geot.10.P.121.
  • 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 : 3057 – 3085 .
  • Darve , F. , Sibille , L. , Daouadji , A. and Nicot , F. 2007 . Bifurcations in granular media: Macro- and micro-mechanics approaches . Comptes Rendus Mécanique , 335 : 496 – 515 .
  • Hadda, N., Nicot, F., Bourrier, F., Sibille, L., Radjai, F., & Darve, F. (2013). Micromechanical analysis of second-order work in granular media. Granular Matter, 15, 221–235.
  • Jrad , M. , Sukumaran , B. and Daouadji , A. 2012 . Experimental analyses of the behaviour of saturated granular materials during axisymmetric proportional strain paths . European Journal of Environmental and Civil Engineering , 16 : 111 – 120 .
  • Klisinski , M. , Mroz , Z. and Runesson , K. 1992 . Structure of constitutive equations in plasticity for different choices of state and control variables . International Journal of Plasticity , 8 : 221 – 243 .
  • Lancelot , L. , Shahrour , I. and Al Mahmoud , M. 2004 . Instability and static liquefaction on proportional strain paths for sand at low stresses . Journal of Engineering Mechanics , 130 : 1365 – 1372 .
  • Lerbet , J. , Aldowaji , M. , Challamel , N. , Nicot , F. , Prunier , F. and Darve , F. 2012 . P-positive definite matrices and stability of nonconservative systems . Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) , 92 : 409 – 422 .
  • Lerbet , J. , Kirillov , O. , Aldowaji , M. , Challamel , N. , Nicot , F. and Darve , F. 2013 . Additional constraints may soften a non-conservative structural system: Buckling and vibration analysis . International Journal of Solids and Structures , 50 : 363 – 370 .
  • Nicot , F. and Darve , F. 2007 . A micro-mechanical investigation of bifurcation in granular materials . International Journal of Solids and Structures , 44 : 6630 – 6652 .
  • Nicot , F. , Darve , F. and Khoa , H. D. V. 2007 . Bifurcation and second-order work in geomaterials . International Journal for Numerical and Analytical Methods in Geomechanics , 31 : 1007 – 1032 .
  • Nicot , F. , Sibille , L. and Darve , F. 2009 . Bifurcation in granular materials: An attempt at a unified framework . International Journal of Solids and Structures , 46 : 3938 – 3947 .
  • Nicot, F., Challamel, N., Lerbet, J., Prunier, F., & Darve, F. (2011). Bifurcation and generalized mixed loading conditions in geomaterials. International Journal for Numerical and Analytical Methods in Geomechanics, 35, 1409–1431.
  • Nicot , F. , Daouadji , A. , Laouafa , F. and Darve , F. 2011 . Second-order work and kinetic energy in granular media . Granular Matter , 13 : 19 – 28 .
  • Nicot , F. and Darve , F. 2011 . Diffuse and localized failure modes: Two competing mechanisms . International Journal for Numerical and Analytical Methods in Geomechanics , 35 : 586 – 601 .
  • Nicot , F. , Challamel , N. , Lerbet , J. , Prunier , F. and Darve , F. 2012 . Some insights into structure instability and the second-order work criterion . International Journal of Solids and Structures , 49 : 132 – 142 .
  • Nicot , F. , Hadda , N. , Bourrier , F. , Sibille , L. , Wan , R. and Darve , F. 2012 . Inertia effects as a possible missing link between micro and macro second-order work in granular media . International Journal of Solids and Structures , 49 : 1252 – 1258 .
  • Nicot, F., Lerbet, J. & Darve, F. (2012). On the divergence and flutter instabilities. Journal of Engineering Mechanics, ASCE. doi: 10.1061/(ASCE)EM.1943-7889.0000638.
  • Nicot , F. , Sibille , L. and Darve , F. 2012 . Failure in rate-independent granular materials as a bifurcation toward a dynamic regime . International Journal of Plasticity , 29 : 136 – 154 .
  • Runesson , K. and Mroz , Z. 1989 . A note on nonassociated plastic flow rules . International Journal of Plasticity , 5 : 639 – 658 .
  • Sivathayalan , S. and Logeswaran , P. 2007 . Behaviour of sands under generalized drainage boundary conditions . Canadian Geotechnical Journal , 44 : 138 – 150 .
  • Sivathayalan , S. and Logeswaran , P. 2008 . Experimental assessment of the response of sands under shear–volume coupled deformation . Canadian Geotechnical Journal , 45 : 1310 – 1323 .
  • Šmilauer, V., Catalano, E., Chareyre, B., Dorofeenko, S., Duriez, J., Gladky, … Thoeni, K. (2010). Yade Reference Documentation. Yade Documentation (V. Šmilauer, ed.), The Yade Project, 1st ed. http://yade-dem.org/doc/
  • Tordesillas, A., Pucilowski, S., Sibille, L., Nicot, F., & Darve, F. (2012). Multiscale characterisation of diffuse granular failure. Philosophical Magazine, 92 (36), 4547–4587.
  • Wanatowski , D. and Chu , J. 2007 . Static liquefaction of sand in plane strain . Canadian Geotechnical Journal , 44 : 299 – 313 .

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.