Abstract
The failure of geomaterials presents distinctive features that arise from material response being dependent on pressure, density and fabric. In conventional plasticity, these dependencies are described by a non-associated plastic flow rule which provides mathematical sources for material or constitutive instability, thereby admitting a multiplicity of material responses for the same initial loading history. The non-symmetry of the tangent constitutive matrix due to non-associated plasticity triggers different failure indicators during material response history, leading to various failure modes such as diffuse or localized. The genesis of failure is analysed in a finite element computation of a drained compression test on sand in plane strain as a boundary value problem.
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Bigoni D, Hueckel T (1991) Uniqueness and localization—I. Associative and non-associative elastoplasticity. Int J Solids Struct 28(2):197–213
Darve F (1994) Stability and uniqueness in geomaterials constitutive modelling. In: Chambon et al (eds) Localisation and bifurcation theory for soils and rocks. Balkema, Rotterdam, pp 73–88
Desrues J (1990) Shear band initiation in granular materials: experimentation and theory. In: Darve F (ed) Geomaterials constitutive equations and modelling. Elsevier, Amsterdam, pp 283–310
Hill R (1958) A general theory of uniqueness and stability in elastic-plastic solids. J Mech Phys Solids 6(3):236–249
Nicot F, Darve F (2006) Micro-mechanical investigation of material instability in granular assemblies. Int J Solids Struct 43(11–12):3569–3595
Pinheiro M (2009) Constitutive and computation aspects of localized and diffuse instabilities in geomaterials. PhD thesis, Dept Civil Eng, University of Calgary, Canada
Rudnicki JW, Rice JR (1975) Condition for the localization of deformation in pressure sensitive dilatant material. J Mech Phys Solids 23(6):371–394
Wan RG, Guo PJ (1998) A simple constitutive model for granular soils: modified stress-dilatancy approach. Comput Geotech 22(2):109–133
Wan R, Pinheiro M, Daouadji A, Jrad M, Darve F (2013) Diffuse instabilities with transition to localization in loose granular materials. Int J Numer Anal Meth Geomech 37(10):1292–1311
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This work is jointly funded by the Computer Modelling Group (CMG) and the Natural Science and Engineering Council of Canada through a CRD grant.
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Wan, R., Gong, X. (2015). Hierarchy of Failure Indicators in the Failure Analysis of Geomaterials. In: Chau, KT., Zhao, J. (eds) Bifurcation and Degradation of Geomaterials in the New Millennium. IWBDG 2014. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-13506-9_28
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DOI: https://doi.org/10.1007/978-3-319-13506-9_28
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