6. Bibliography#

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  2. Chambon R, Caillery D, Matsushima T: « Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies », Int. J. Solids and Struct. (2001), vol. 38, pp 8503-8527.

  3. Matsushima T, Chambon R, Caillerie D: « Large strain finite element analysis of local second gradient models, application to localization », Int. Mr. Num. Meth. Eng. (2002), vol. 54, pp 499-521.

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  2. Mindlin RD: « Second Gradient of Strain and Surface-Tension in Linear Elasticity », Int. J. Solids and Struct. (1965), vol. 1, pp 417-738.

  3. Germain P: « The virtual power method in the mechanics of continuous media. First part: theory of the second gradient », Journal of Mechanics (1973), vol. 12, pp 235-274.

  4. Germain P: « The method of virtual power in continuum mechanics. Part 2: Microstructure », SIAM J. Appl. Math. (1973), vol. 25, pp 556-575.

  5. Zervos A, Papanastasiou P, Vardoulakis I: « A finite element displacement formulation for gradient elastoplasticity », Int. Mr. Num. Meth. Eng. (2001), vol. 50, pp 1369-1388.

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  7. Desrua J., Viggiani G. « Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry ». Int. Mr. Num. Anal. Meth. Geom. (2004), vol. 28: pp. 279-321.

  8. Vardoulakis I., Sulem J. « Bifurcation Analysis in Geomechanics ». London: Blackie, 1995.

  9. Gantier M.: « Robust and reliable numerical modeling of rock cracking and interfaces », Doctoral thesis from the University Grenoble Alpes — Grenoble, November 17, 2021.