References
- “Abaqus Theory Manual (6.12)” (n.d.). [Computer software manual] ©Dassault Systèmes.
- Barnichon, J. D. (1998). Finite element modelling in structural and petroleum geology (Unpublished doctoral dissertation). Univerité de Liège, Belgique.
- Borja, R., White, J., Liu, X., & Wu, W. (2012). Factor of safety in a partially saturated slope inferred from hydro-mechanical continuum modeling. International Journal for Numerical and Analytical Methods in Geomechanics, 36(2), 236–248. doi:https://doi.org/10.1002/nag.1021
- Daouadji, A., Darve, F., Al Gali, H., Hicher, P. Y., Laouafa, F., Lignon, S., … Wan, R. (2011). Diffuse failure in geomaterials: Experiments, theory and modelling. International Journal for Numerical and Analytical Methods in Geomechanics, 35(16), 1731–1773. doi:https://doi.org/10.1002/nag.975
- Darve, F., Flavigny, E., & Meghachou, M. (1995). Yield surfaces and principle of superposition revisited by incrementally non-linear constitutive relations. International Journal of Plasticity, 11(8), 927–948. doi:https://doi.org/10.1016/S0749-6419(95)00037-2
- Darve, F., & Labanieh, S. (1982). Incremental constitutive law for sands and clays: Simulations of monotonic and cyclic tests. International Journal for Numerical and Analytical Methods in Geomechanics, 6(2), 243–275. doi:https://doi.org/10.1002/nag.1610060209
- Darve, F., Servant, G., Laouafa, F., & Khoa, H. D. V. (2004). Failure in geomaterials: Continuous and discrete analyses. Computer Methods in Applied Mechanics and Engineering, 193(27–29), 3057–3085. doi:https://doi.org/10.1016/j.cma.2003.11.011
- Hilber, H., Hughes, T., & Taylor, R. (1977). Improved numerical dissipation for time integration algorithms in structural dynamics. Earthquake Engineering & Structural Dynamics, 5(3), 283–292. doi:https://doi.org/10.1002/eqe.4290050306
- Hill, R. (1958). A general theory of uniqueness and stability in elasto-plastic solids. Journal of the Mechanics and Physics of Solids, 6(3), 236–249. doi:https://doi.org/10.1016/0022-5096(58)90029-2
- Newmark, N. (1959). A method of computation for structural dynamics. Journal of the Engineering Mechanics, 85(3), 67–94.
- Nguyen, H. N. G., Prunier, F., Djeran-Maigre, I., & Nicot, F. (2016). Kinetic energy and collapse of granular materials. Granular Matter, 18(1), 5.doi:https://doi.org/10.1007/s10035-016-0609-1
- Nicot, F., & Darve, F. (2007). A micro-mechanical investigation of bifurcation in granular materials. International Journal of Solids and Structures, 44(20), 6630–6652. doi:https://doi.org/10.1016/j.ijsolstr.2007.03.002
- Nova, R. (1994). Controllability of the incremental response of soil specimens subjected to arbitrary loading programs. Journal of the Mechanical Behavior of Materials, 5(2), 193–201. doi:https://doi.org/10.1515/JMBM.1994.5.2.193
- Prunier, F., Chomette, B., Brun, M., & Darve, F. (2016). Designing geotechnical structures with a proper stability criterion as a safety factor. Computers and Geotechnics, 71, 98–114. doi:https://doi.org/10.1016/j.compgeo.2015.09.007
- Prunier, F., Laouafa, F., & Darve, F. (2009). 3D bifurcation analysis in geomaterials, investigation of the second order work criterion. Revue Européenne de Génie Civil, 13(2), 135–147. doi:https://doi.org/10.3166/ejece.13.135-147
- Prunier, F., Laouafa, F., Lignon, S., & Darve, F. (2009). Bifurcation modeling in geomaterials: From the second-order work criterion to spectral analyses. International Journal for Numerical and Analytical Methods in Geomechanics, 33(9), 1169–1202. doi:https://doi.org/10.1002/nag.762
- Prunier, F., Nicot, F., Darve, F., Laouafa, F., & Lignon, S. (2009). 3D multiscale bifurcation analysis of granular media. Journal of Engineering Mechanics (Mechanics), 135(6), 493–509. doi:https://doi.org/10.1061/(ASCE)EM.1943-7889.0000003
- Rice, J. R. (1976). The localization of plastic deformation. In W. T. Koiter (Ed.), 14th IUTAM Congress on Theoretical and Applied Mechanics (pp. 207–220). Amsterdam.
- Rudnicki, J. W., & Rice, J. R. (1975). Conditions for the localization of deformations in pressure-sensitive dilatant materials. Journal of the Mechanics and Physics of Solids, 23(6), 371–394. doi:https://doi.org/10.1016/0022-5096(75)90001-0
- Sloan, S. W. (1988). Lower bound limit analysis using finite elements and linear programming. International Journal for Numerical and Analytical Methods in Geomechanics, 12(1), 61–77. doi:https://doi.org/10.1002/nag.1610120105
- Sloan, S. W. (1989). Upper bound limit analysis using finite elements and linear programming. International Journal for Numerical and Analytical Methods in Geomechanics, 13(3), 263–282. doi:https://doi.org/10.1002/nag.1610130304
- Van Eekelen, H. A. M. (1980). Isotropic yield surfaces in three dimensions for use in soil mechanics. International Journal for Numerical and Analytical Methods in Geomechanics, 4(1), 89–101. doi:https://doi.org/10.1002/nag.1610040107