Abstract
This paper presents a rigorous comparison of the bifurcation criteria formulated by Rudnicki and Rice [1], and Vermeer [2, 3] for strain localization in geomaterials. It is shown that the simpler Vermeer’s criterion is equivalent to the more complicated Rudnicki-Rice criterion for two-dimensional loading conditions. Differences between the two criteria exist for three-dimensional loading conditions.
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References
Rudnicki, J.W., Rice, J.R.: Conditions for the localization of deformation in pressure-sensitive dilatant materials. J. Mech. Phys. Solids 23, 371–394 (1975)
Vermeer, P.A.: A simple shear-band analysis using compliances. In: Proceedings IUTAM Conference on Deformation and Failure Granular Materials, Delft, Netherlands, pp. 493–499 (1982)
Vermeer, P.A., de Borst, R.: Non-associated plasticity for soils, concrete and rock. Heron 29, 3–64 (1984)
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Gutierrez, M. (2017). Rigorous Comparison of the Rudnicki-Rice and Vermeer Bifurcation Criteria. In: Papamichos, E., Papanastasiou, P., Pasternak, E., Dyskin, A. (eds) Bifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-56397-8_23
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DOI: https://doi.org/10.1007/978-3-319-56397-8_23
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