Polar extension of a hypoplastic model for granular materials with shear localization

Huang, Wenxiong; Nübel, K.; Bauer, Erich

doi:10.1016/s0167-6636(02)00163-1

Cited by 93 publications

(76 citation statements)

References 23 publications

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“…This more general version of hypoplasticity, anticipated in early works on the subject [19,15] has been computationally implemented in numerous works by Tejchman, Bauer and co-workers [20,7,12,8,21,22] for polar as well as non-polar media. In the non-polar form, these models involve internal variables whose history dependence is determined by ODEs having the pseudo-linear form:…”

Section: Parametric Hypoplasticitymentioning

confidence: 99%

“…Following Mindlin [28,29], in a slight departure from several previous works [30,8], we employ a rotation relative to the material rather than to a fixed spatial frame. In either case, we can express the kinematics concisely in terms of the map R 3 → R 3 × SO(3) given by x • → {x, θ θ θ}, where θ θ θ = − 1 2 : Θ Θ Θ , and Θ Θ Θ = − ·θ θ θ, i.e.…”

Section: Kinematics -Rotation and Spinmentioning

confidence: 99%

“…Either definition of spin is acceptable, and this relation makes it easy to connect their work-conjugate stresses 8 . It should be noted that (19) [43].…”

Section: Kinematics -Rotation and Spinmentioning

confidence: 99%

“…As mentioned in the Abstract, many special cases of the Cosserat model are to be found in the literature [4,5,6,7,8,9,10,11]. Much of the history and many theoretical concepts are covered in the recent monograph of Tejchman [2], which is focused on numerical simulations of soil mechanics based on standard hypoplastic modeling.…”

Section: Introductionmentioning

confidence: 99%

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Granular hypoplasticity with Cosserat effects

Goddard¹

2010

AIP Conference Proceedings

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Abstract. This paper provides an extension to Cosserat mechanics of a recently proposed version of hypoplasticity [1], and this extension is achieved economically by means of a novel complex-variable formulation of Cosserat theory.The present work represents a compact synthesis and theoretical framework for both non-polar and polar hypoplasticity, and it encompasses various special cases considered in the literature, as discussed in the recent monograph by Tejchman [2].The current approach offers a perspective on granular dilatancy, elastoplastic yield, and energy dissipation which differs from the standard hypoplasticity and which serves to establish a connection to classical incremental plasticity. In contrast to the classical theory, the present approach, based entirely on the concept of pseudo-linear forms, admits but does require elastoplastic potentials to describe plastic flow. When such potentials are assumed, it is shown that they can be related to the plastic moduli of the present formulation.It is also shown that hypoplasticity allows for a distinction between active and passive internal variables, with the latter serving to define parameters. Finally, the known forms for linear isotropic Cosserat elasticity are employed to represent isotropic hypoplasticity, and the resulting formulae appear to encompass several empiricisms found in the literature.

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Section: Parametric Hypoplasticitymentioning

confidence: 99%

Section: Kinematics -Rotation and Spinmentioning

confidence: 99%

“…Either definition of spin is acceptable, and this relation makes it easy to connect their work-conjugate stresses 8 . It should be noted that (19) [43].…”

Section: Kinematics -Rotation and Spinmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Granular hypoplasticity with Cosserat effects

Goddard¹

2010

AIP Conference Proceedings

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“…For the evolution of void ratio within shear bands of triaxial sand sample using the X-ray computed tomography technique, the local density inside shear band approaches a limited value of void ratio (critical void ratio). Local void ratio was reported to be much looser than the global measured value [2] .…”

Section: Introductionmentioning

confidence: 90%

Identification of Shear Band using Elastic Shear Wave Propagation

Nachiengtai¹,

Chim-oye²,

Teachavorasinskun³

et al. 2008

American J. of Engineering and Applied Sciences

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Localization in soil under high stress level is usually investigated using some indirect measures, e.g., X-ray diffraction method. In the present study, the propagation velocity of shear wave was used to detect localization in sandy soil. Firstly, the general expression to exhibit the stress and density dependencies characteristics under consolidation and triaxial testing conditions of the tested soil was proposed. Adopted the proposed correlation as a reference together with the observed geometry, the shear wave velocity of the localized zone may be assumed. It was found that the density in the localized zone could be much looser than those ever reported in the literature. The void ratio of the localized zone is even larger than the maximum void ratio.

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Effects of periodic fluctuations of micro‐polar boundary conditions on shear localizations in granular soil–structure interaction

Ebrahimian

Noorzad

Alsaleh

2011

Num Anal Meth Geomechanics

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SUMMARYIn this work, the interface behavior between an infinite extended narrow granular layer and a rough surface of rigid body is investigated numerically, using finite element method in the updated Lagrangian (UL) frame. In this regard, the elasto-plastic micro-polar (Cosserat) continuum approach is employed to remove the limitations caused by strain-softening of materials in the classical continuum. The mechanical properties of cohesionless granular soil are described with Lade's model enhanced by polar terms, including Cosserat rotations, curvatures, and couple stresses. Furthermore, the mean grain diameter as the internal length is incorporated into the constitutive relations accordingly. Here, the evolution and location of shear band, within the granular layer in contact with the rigid body, are mainly focused. In this regard, particular attention is paid to the effects of homogeneous distribution and periodic fluctuation of micropolar boundary conditions, prescribed along the interface. Correspondingly, the effects of pressure level, mean grain diameter, and stratified soil are also considered. The finite element results demonstrate that the location and evolution of shear band in the granular soil layer are strongly affected by the non-uniform micro-polar boundary conditions, prescribed along the interface. It is found that the shear band is located closer to the boundary with less restriction of grain rotations. Furthermore, the predicted thickness of shear band is larger for higher rotation resistance of soil grains along the interface, larger mean grain diameter, and higher vertical pressure. Regarding the stratified soil, comprising a thin layer with slightly different initial void ratio, the shear band moves towards the layer with initially higher void ratio.

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Polar extension of a hypoplastic model for granular materials with shear localization

Cited by 93 publications

References 23 publications

Granular hypoplasticity with Cosserat effects

Granular hypoplasticity with Cosserat effects

Identification of Shear Band using Elastic Shear Wave Propagation

Effects of periodic fluctuations of micro‐polar boundary conditions on shear localizations in granular soil–structure interaction

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