Constitutive modelling and instabilities of soil behaviour

Darve, Félix; Flavigny, É.; Meghachou, Mourad

doi:10.1016/0266-352x(95)93869-k

Cited by 34 publications

(36 citation statements)

References 4 publications

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“…We "rst generalized in this paper the results that have been obtained previously for axisymmetric conditions [12,13] to the case of plane strain conditions. We have shown using examples that the instabilities which have been exhibited experimentally [7}9] can be described as mechanical Figure 30.…”

Section: Discussionmentioning

confidence: 99%

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Instabilities in granular materials and application to landslides

Darve

Laouafa

2000

Mech. Cohes.-Frict. Mater.

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117

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Section: Discussionmentioning

confidence: 99%

“…Until now we have considered this stability criterion only for axisymmetric loading conditions but both for the cases of a loose and a dense sand [12,13]. It has been possible to prove that a large domain of the stress space is potentially unstable [13] for such axisymmetric stress}strain states.…”

Section: Introductionmentioning

confidence: 99%

Instabilities in granular materials and application to landslides

Darve

Laouafa

2000

Mech. Cohes.-Frict. Mater.

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117

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“…Against the above backdrop, material (in)stability would be due to the (non)uniqueness of admissible homogeneous states, thus revealing a bifurcation problem. This notion was first introduced by Darve et al [40] and then extended to highlight the directional character of the loading (stress) and response (strain) behaviours of a material and its relationship to instability [41]. The domain of stress-strain states for which at least one loading-response direction exists such that the second-order work becomes zero or negative gives rise to a so-called bifurcation domain.…”

Section: Diffuse Instabilitymentioning

confidence: 98%

Elastoplastic modelling of diffuse instability response of geomaterials

Wan

Pinheiro

Guo

2011

Num Anal Meth Geomechanics

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SUMMARYIn this paper, we study material instabilities in geomaterials through an elastoplastic constitutive model endowed with appropriate attributes, such as stress, density and fabric dependencies. The analyses reveal the possibility of having diffuse instability, bifurcation and loss of uniqueness within the plastic limit surface. The resulting domain of bifurcation encompasses the intrinsic effects of stress-strain history, direction of loading, type of loading and fabric. The computations start at a material point level and are later on extended to an initial boundary value setting where diffuse failure of a three-dimensional sand specimen with a random distribution of void ratio is examined. We restrict our simulations to the study of a q-constant laboratory experimental test under different sets of control parameters. Diffuse failure is also revealed in a slope analysis under water infiltration following similar loading paths as in the q-constant test. The analysis shows common material instability features observed in the above test.

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“…Indeed, it can be shown that the well-recognized incrementally nonlinear behavior 1 of granular materials can be related to each contact's mechanical regime (elastic or plastic regime leading or not to contact opening) and its dependence on the macroscopic incremental loading direction (Darve and Nicot, 2005a). One recurrent question often debated for granular materials concerns the existence of possible unstable states (see for instance Rudnicki and Rice, 1975;Vardoulakis and Sulem, 1995;Lade et al, 1988;Lade and Pradel, 1990;Lade et al, 1993;Hill, 1958;Darve et al, 1995;Bigoni and Hueckel, 1991). The notion of stability, or conversely instability, appeared early in many scientific fields such as chemistry, biology, mechanics, and computational sciences.…”

Section: Introductionmentioning

confidence: 98%

A micro-mechanical investigation of bifurcation in granular materials

Nicot¹,

Darve

2007

International Journal of Solids and Structures

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In this paper, the notion of loss of sustainability of a mechanical state in a granular assembly is investigated. The vanishing of the second-order work, defined on the macroscopic scale from tensorial variables, is shown to play a fundamental role in detecting the occurrence of this type of bifurcation. Then a link is established between the macroscopic second-order work on the specimen scale and a discrete local expression that introduces microscopic variables defined on each contact scale. This relation opens up a micro-mechanical interpretation allowing one to examine which micro-structural features are responsible for the vanishing of the macroscopic second-order work. Finally, it is established that both geometrical and material micro-structural origins may combine to induce the occurrence of bifurcation on a specimen scale.

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Constitutive modelling and instabilities of soil behaviour

Cited by 34 publications

References 4 publications

Instabilities in granular materials and application to landslides

Instabilities in granular materials and application to landslides

Elastoplastic modelling of diffuse instability response of geomaterials

A micro-mechanical investigation of bifurcation in granular materials

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