Description of anisotropic response of clays using a tensorial measure of structural disorder

Pietruszczak, S.; Krucinski, S.

doi:10.1016/0167-6636(89)90014-8

Cited by 31 publications

(13 citation statements)

References 16 publications

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“…Porosity is often used to characterize the state of packing in these materials. This scalar measure, however, has been found to be insufficient to characterize their directional behavior and higher order microstructure variables known as ''fabric tensors'' have been used to describe the distribution and orientation of grains and voids (Oda et al, 1985;Mehrabadi et al, 1982;Tobita, 1989;Pietruszczak and Krucinski, 1989a;Bathurst and Rothenburg, 1990;Muhunthan et al, 1996). Models incorporating these fabric measures are also extant in the literature (Chang and Hicher, 2005;Kachanov and Sevostianov, 2005).…”

Section: Introductionmentioning

confidence: 97%

Multi-slip gradient formulation for modeling microstructure effects on shear bands in granular materials

Hattamleh

Muhunthan

Zbib

2007

International Journal of Solids and Structures

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This paper presents a higher order gradient multi-slip formulation to model the effect of inhomogeneous deformation in granular materials. The effects of heterogeneity and porosity anisotropy within the multi-slip formulation are taken into consideration through the modification of the mobilized friction. The mobilized friction is assumed to be a direct function of either the gradient of the porosity distribution or the fabric tensor. The formulation with two active slip planes was implemented into a finite element code and used to simulate biaxial shear tests on dry sand. The analysis quantifies most of the shear band characteristics observed by past experimentation. It is shown that the localization and shear band characteristics in granular materials are very much dependent on the initial fabric and slip system arrangement.

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Section: Introductionmentioning

confidence: 97%

Multi-slip gradient formulation for modeling microstructure effects on shear bands in granular materials

Hattamleh

Muhunthan

Zbib

2007

International Journal of Solids and Structures

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“…In this case, the de"nition of the fabric tensor, equations (4) and (5), which is clearly material dependent, will need to be suitably altered. In general, the ¹resca criterion can be obtained from equation (14) by setting "0, i.e.…”

Section: F( Ghmentioning

confidence: 99%

On inelastic behaviour of anisotropic frictional materials

Pietruszczak

1999

Mech. Cohes.‐Frict. Mater.

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“…An idealized spherical representative elemental volume (REV) of granular media with voids shaded is shown in Figure 1. Using averaging techniques, the distribution of void ratio within the REV can be approximated by a directional function e c ( l ) of the form 14, 15 where e c ( l ) is the magnitude of the void ratio vector in the direction of the unit vector l , e is the isotropic void ratio of the soil. The components of the unit vector l are given by l 1 = sinθsinϕ, l 2 = cosθ and l 3 = sinθcosϕ (Figure 1), Ω ij is termed the void fabric tensor.…”

Section: Introductionmentioning

confidence: 99%

Fabric dilatancy and the plasticity modeling of granular media

Muhunthan

Sasiharan²

2011

Num Anal Meth Geomechanics

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SUMMARYA novel conceptual model of the mechanics of sands is developed within an elastic-plastic framework. Central to this model is the realization that volume changes in anisotropic granular materials occur as a result of two fundamentally different mechanisms. The first is purely kinematic, dilative, and is the result of the changes in anisotropic fabric. There is also a second volume change in granular media that occurs as a direct response to changes in stress as in a standard elastic/plastic continuum. The inclusion of the two sources of volume change results in three important datum states. When subjected to isotropic strains, the resulting stress state in granular materials is not isotropic but lies upon the kinematic normal consolidation line. There exists a state at which the fabric-induced volumetric strain rate becomes equal to the stress-induced volumetric strain rate making the total plastic volumetric strain rate equal to zero. Granular response changes from contractive to dilative at this phase transformation line. The third datum state is the one in which the stress-induced volumetric strain rate is zero. The sand, however, continues to dilate at this state with the difference between stress and dilation ratio a constant as predicted by Taylor's stress-dilatancy rule. These predictions are shown in accordance with experimental data from a series of drained tests and undrained on Ottawa sand.

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Description of anisotropic response of clays using a tensorial measure of structural disorder

Cited by 31 publications

References 16 publications

Multi-slip gradient formulation for modeling microstructure effects on shear bands in granular materials

Multi-slip gradient formulation for modeling microstructure effects on shear bands in granular materials

On inelastic behaviour of anisotropic frictional materials

Fabric dilatancy and the plasticity modeling of granular media

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