Hypoplastic constitutive model with critical state for granular materials

Wu, Wei; Bauer, Erich; Kolymbas, Dimitrios

doi:10.1016/0167-6636(96)00006-3

Cited by 243 publications

(161 citation statements)

References 32 publications

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“…Although some models for granular-fluid flows have taken the stress state of the quasi-static stage into account, the employed theories for the static regime, such as Mohr-Coulomb criterion [34] and extended von Mises yield criterion [32], still fail to determine the changing of pore water pressure from the deformation directly. Hypoplasticity was proposed as an alternative to plasticity for the description of solid-like behavior of granular materials [41,43]. The distinctive features of hypoplasticity are its simple formulation and capacity to capture some salient features of granular materials, such as non-linearity, dilatancy and yielding [42].…”

Section: Introductionmentioning

confidence: 99%

“…However, there are only few data in the literature for the exponential functions. Therefore, in this paper, we will embark on the model proposed by Wu et al [41] which is the first hypoplastic model with critical state to verify that, by employing an appropriate hypoplastic model as the static portion, the combined model based on the framework (1) can fulfill an entire and quantitative description of stress state for debris materials from quasi-static stage to fast flow stage. It is worth mentioning that the hypoplastic model with critical state is just one of the choices for describing the initiation of debris flows.…”

Section: Introductionmentioning

confidence: 99%

“…Actually, debris materials are normally simplified as solid spherical particle-viscous fluid mixture and treated as a fluid continuum with microstructural effect in the constitutive modeling [10,11]. In most conventional models, constitutive equations for the static and dynamic regimes are formulated and applied separately, such as the models for the solid-like behaviors of granular materials [8,27,41,43] and that for the fluid-like behaviors [1,6,21]. Although some models for granular-fluid flows have taken the stress state of the quasi-static stage into account, the employed theories for the static regime, such as Mohr-Coulomb criterion [34] and extended von Mises yield criterion [32], still fail to determine the changing of pore water pressure from the deformation directly.…”

Section: Introductionmentioning

confidence: 99%

“…The hypoplastic model (16) possesses simple mathematical formulation and contains only four material parameters, c 1 $ c 4 . The specific determination process of c 1 $ c 4 can be obtained in the literatures [5,41,43]. Two stress states, the initial hydrostatic and the state at failure, are chosen for the identification of c 1 $ c 4 based on a triaxial test with constant confining pressure, i. e. _ T h ð2; 2Þ ¼ _ T h ð3; 3Þ ¼ 0.…”

Section: Introductionmentioning

confidence: 99%

“…Two hypoplastic models, the one developed by Wu et al [41] and the one by Gudehus [13], are compared in the selection of the static portion for the framework (1). In the more recent models by Gudehus [13], mainly the stiffness is modified by the two factors, f b and f e , which take into account the influence of stress state and density, respectively.…”

Section: Introductionmentioning

confidence: 99%

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A hypoplastic constitutive model for debris materials

Guo¹,

Peng²,

Wu³

et al. 2016

Acta Geotech.

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Debris flow is a very common and destructive natural hazard in mountainous regions. Pore water pressure is the major triggering factor in the initiation of debris flow. Excessive pore water pressure is also observed during the runout and deposition of debris flow. Debris materials are normally treated as solid particle-viscous fluid mixture in the constitutive modeling. A suitable constitutive model which can capture the solid-like and fluid-like behavior of solid-fluid mixture should have the capability to describe the developing of pore water pressure (or effective stresses) in the initiation stage and determine the residual effective stresses exactly. In this paper, a constitutive model of debris materials is developed based on a framework where a static portion for the frictional behavior and a dynamic portion for the viscous behavior are combined. The frictional behavior is described by a hypoplastic model with critical state for granular materials. The model performance is demonstrated by simulating undrained simple shear tests of saturated sand, which are particularly relevant for the initiation of debris flows. The partial and full liquefaction of saturated granular material under undrained condition is reproduced by the hypoplastic model. The viscous behavior is described by the tensor form of a modified Bagnold's theory for solid-fluid suspension, in which the drag force of the interstitial fluid and the particle collisions are considered. The complete model by combining the static and dynamic parts is used to simulate two annular shear tests. The predicted residual strength in the quasi-static stage combined with the stresses in the flowing stage agrees well with the experimental data. The non-quadratic dependence between the stresses and the shear rate in the slow shear stage for the relatively dense specimens is captured.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A hypoplastic constitutive model for debris materials

Guo¹,

Peng²,

Wu³

et al. 2016

Acta Geotech.

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Beyond Failure in Granular Materials

Niemunis

1997

Int. J. Numer. Anal. Meth. Geomech.

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SUMMARYRecent investigations on the hypoplastic constitutive model for granular materials show that the failure surface can be surpassed by some stress paths. This is contradictory to the conventional definition of failure surface in plasticity, according to which the stress is allowed to move on the failure surface but never across it. In the present paper, the interrelations among the different constitutive models are discussed with special reference to failure and stability. For the hypoplastic constitutive equation, the accessible stress states and the stable stress states are found to be enclosed by a bound surface and a stability surface in the stress space, respectively. Theoretical findings about the bound surface and the stability surface are verified qualitatively by presenting results of triaxial tests on dry sand.

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Rational approach to anisotropy of sand

1998

Int. J. Numer. Anal. Meth. Geomech.

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SUMMARYThe paper presents a constitutive model for the three-dimensional deformation-strength behaviour of inherently anisotropic sand. Based on non-linear tensorial functions, the model is developed without recourse to the concepts in plasticity theory such as yield surface and plastic potential. Benefited from the fact that no decomposition of strain into elastic and plastic parts is assumed, a unified treatment of anisotropic behaviour of deformation and strength is achieved. Anisotropy is characterized by a vector normal to the bedding plane. The extension of the constitutive model is furnished by incorporating the vector under consideration of the principle of objectivity and the condition of material symmetry. Distinct features of the model are its elegant formulation and its simple structure involving few material parameters. Model performance and comparison with experiments show that the model is capable of capturing the salient behaviour of anisotropic sand.1998 John Wiley & Sons, Ltd.

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Hypoplastic constitutive model with critical state for granular materials

Cited by 243 publications

References 32 publications

A hypoplastic constitutive model for debris materials

A hypoplastic constitutive model for debris materials

Beyond Failure in Granular Materials

Rational approach to anisotropy of sand

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