145
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Numerical stability of non-local viscoplastic FEM analyses for the study of localisation processes

, &
Pages 215-228 | Received 15 Feb 2012, Accepted 21 Feb 2013, Published online: 22 May 2013

References

  • Aifantis, E.C., Oka, F., Yashima, A. and Adachi, T., 1999. Instability of gradient dependent viscoplastic model for clay. International Journal for Numerical and Analytical Methods in Geomechanics, 23 (10), 973–994.
  • Arthur, J.R.F. and Dunstan, T., 1982. Rupture layers in granular media. In: P.A. Veermer and H.J. Luger, eds. IUTAM Conference on Deformation and Failure of Granular Materials, 31 August-3 September 1982, Delft. Rotterdam: A.A. Balkema, 453–459.
  • Balasubramaniam, A.S., 1976. Local strains and displacement patterns in triaxial specimens of a saturated clay. Soils and Foundations, 16 (1), 101–114.
  • Buscarnera, G., Dattola, G. and di Prisco, C., 2011. Controllability, uniqueness and existence of the incremental response: A mathematical criterion for elastoplastic constitutive laws. International Journal of Solids and Structures, 48 (13), 1867–1878.
  • Conte, E., Silvestri, F. and Troncone, A., 2010. Stability analysis of scope in soils with strain-softening behaviour. Computers and Geotechnics, 37 (5), 710–722.
  • Desrues, J. and Viggiani, G., 2003. Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry. International Journal for Numerical and Analytical Methods in Geomechanics, 28 (4), 279–321.
  • Desrues, J., 1983. La localisation de la deformation dans les matériaux granulaires. Thesis (PhD). USMG & INPG, Grenoble, France.
  • di Prisco, C., 1993. Sand anisotropy: Experimental analysis and mathematical modelling. Thesis (PhD). Technical University of Milan, Italy.
  • di Prisco, C. and Imposimato, S., 1996. Time dependent mechanical behaviour of loose sands. Mechanics of Cohesive-frictional Materials, 1 (1), 45–73.
  • di Prisco, C. and Imposimato, S., 2002. Static liquefaction of a saturated loose sand stratum. International Journal of Solids and Structures, 39 (1), 3523–3541.
  • di Prisco, C., Imposimato, S. and Aifantis, E.C., 2002. A viscoplastic constitutive model for granular soils modified according to non local and gradient approaches. International Journal for Numerical and Analytical Methods in Geomechanics, 26 (2), 121–138.
  • di Prisco, C., Nova, R. and Lanier, J., 1993. A mixed isotropic-kinematic hardening constitutive law for sand. In: D. Kolymbas, ed. Modern Approaches to Plasticity. Oxford: Elsevier Applied Science, 83–124.
  • di Prisco, C., Stupazzini, M. and Zambelli, C., 2007. Nonlinear SEM numerical analyses of dry dense sand specimens under rapid and dynamic loading. International Journal of Numerical and Analytical Methods in Geomechanics, 31 (6), 757–788.
  • Finno, R.J., Harris, W.W., Mooney, M.A. and Viggiani, G., 1997. Shear bands in plane strain compression of loose sand. Géotechnique, 47 (1), 149–165.
  • Houlsby, G.T. and Wroth, C.P., 1980. Strain and displacement discontinuities in soils. Journal of Engineering Mechanics ASCE, 117 (EM4), 753–772.
  • Imposimato, S. and Nova R., 1998. An investigation on the uniqueness of the incremental response of elastoplastic models for virgin sand. Mechanics of Cohesive-frictional Materials 3 (1), 65–87.
  • Marello, S., Lenoir, N., Viggiani, G., Bésuelle, P., Desrues, J. and Di Michiel, M., 2004. Shear banding in plane strain compression of Beaucaire Marl studied through post mortem X-ray micro tomography. In: J. Otani and Y. Obara, eds. International Workshop on X-ray CT for Geomaterials, 6–7 November 2003, Kumamoto, Japan. Oxford: Taylor & Francis, 147–155.
  • Morgenstern, N.R. and Tchalenko, J.S., 1967. Microscopic structures in kaolin subjected to direct shear. Géotechnique, 17 (4), 309–328.
  • Oka, F., Yashima, A., Adachi, T. and Aifantis, E.C., 1992. Instability of gradient dependent viscoplastic model for clay saturated with water and FEM analysis. Applied Mechanics Reviews, 45 (3), 140–148.
  • Perzyna, P., 1963. The constitutive equations for rate sensitive plastic materials. Quarterly of Applied Mathematics, 20 (4), 321–332.
  • Pijaudier-Cabot, G. and Bazant, Z.P., 1987. Non local damage theory. Journal of Engineering Mechanics ASCE, 113 (10), 1512–1533.
  • Potts, D.M., Dounias, G.T. and Vaughan, P.R., 1990. Finite element analysis of progressive failure of Carsington embankment. Géotechnique, 40 (1), 70–101.
  • Roddeman, D.G., 2010. TOCHNOG Professional User’s manual [online]. Available from: http://www.feat.nl/ [21 February 2013].
  • Saada, A.S., Bianchini, G. and Liang, L., 1994. Cracks, bifurcation and shear bands propagation in saturated clay. Géotechnique, 44 (1), 35–64.
  • Scarpelli, G. and Wood, D.M., 1982. Experimental observations of shear band pattern in direct shear tests. In: P.A. Veermer and H.J. Luger, eds. IUTAM Conference on Deformation and Failure of Granular Materials, 31 August-3 September 1982, Delft. Rotterdam: A.A. Balkema, 473–484.
  • Sluys, L.J., 1992. Wave propagation, localization and dispersion in softening solids. Thesis (PhD). Delft University of Technology, Delft, The Netherlands.
  • Troncone, A., 2005. Numerical analysis of a landslide in soils with strain-softening behaviour. Géotechnique, 55 (8), 585–596.
  • Vardoulakis, I. and Aifantis, E.C., 1989. Gradient dependent dilatancy and its implications in shear-banding and liquefaction. Archive of Applied Mechanics, 59 (3), 197–208.
  • Vardoulakis, I. and Sulem, J., 1995. Bifurcation analysis in geomechanics. Glasgow, UK: Blackie Academic & Professional, Chapman & Hall.
  • Zbib, H.M. and Aifantis, E.C., 1989. A gradient dependent flow theory of plasticity: application to metal and soil instabilities. Applied Mechanics Reviews, 42 (11), 295–304.

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.