Investigations of shear banding in an anisotropic hypoplastic material

Bauer, Erich; Huang, Wenxiong; Wu, Wei

doi:10.1016/j.ijsolstr.2004.05.052

Cited by 54 publications

(34 citation statements)

References 36 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%

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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%

“…The associated anisotropy is to be distinguished from inherent or "initial" anisotropy [22] associated with certain virgin states of the material.…”

Section: Parametric Hypoplasticitymentioning

confidence: 99%

Granular hypoplasticity with Cosserat effects

Goddard¹

2010

AIP Conference Proceedings

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“…They combined that work with the earlier results by Bauer et al (2004) and formed a hypoplastic Cam-clay model accounting for the anisotropic response inside the state boundary surface. Incorporation of stiffness anisotropy into hypoplasticity was, in fact, one of the motivations behind the development of the new hypoplastic approach and the author is glad that this potential of the new formulation has been recognised by the discussers.…”

Section: Author's Replymentioning

confidence: 94%

“…As stated by Mašín (2004) when approaching the asymptotic state boundary surface (ASBS) the anisotropic characteristics diminish. The evolution equations suggested by Bauer et al (2004) for ç i answer this condition…”

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confidence: 91%

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DISCUSSION: Hypoplastic Cam-clay model. D. MAšíN (2012) Géotechnique 62, No. 6, 549–553, http://dx.doi.org/10.1680/geot.11.T.019

Kopito¹,

Klar²

2013

Géotechnique

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The strength anisotropy of localized compaction: A model for the role of the nature and orientation of cross‐beds on the orientation and distribution of compaction bands in 3‐D

Deng

Aydin

2015

JGR Solid Earth

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The field observations indicate that the low-angle bed-parallel compaction bands and the high-angle-to-bedding compaction bands occur only in cross-beds with certain range of bedding orientations in the Aztec Sandstone at the Valley of Fire State Park (NV). The hypothesis is that the primary underlying mechanical reason for this phenomenon is the strength anisotropy of localized compaction in anisotropic sandstones. In this paper, we used a quadratic failure criterion to describe the strength anisotropy of localized compaction and compared the results with the field data. The results show a clear relationship among the cross-beds with (or without) compaction bands of certain orientations and the cross-beds with relatively lower (or higher) calculated strength of localized compaction. We also used the quadratic failure criterion to fit the yield caps of anisotropic sandstones deformed in the laboratory by previous investigators and achieved some degree of success. These findings indicate that the strength anisotropy of localized compaction is an important factor controlling the compartmentalized distribution of compaction bands of various orientations in the aeolian sandstones.

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Investigations of shear banding in an anisotropic hypoplastic material

Cited by 54 publications

References 36 publications

Granular hypoplasticity with Cosserat effects

Granular hypoplasticity with Cosserat effects

DISCUSSION: Hypoplastic Cam-clay model. D. MAšíN (2012) Géotechnique 62, No. 6, 549–553, http://dx.doi.org/10.1680/geot.11.T.019

The strength anisotropy of localized compaction: A model for the role of the nature and orientation of cross‐beds on the orientation and distribution of compaction bands in 3‐D

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