Applying GSH to a wide range of experiments in granular media

Jiang, Yimin; Liu, Mario

doi:10.1140/epje/i2015-15015-6

Cited by 24 publications

(36 citation statements)

References 122 publications

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“…Therefore, using a history dependent φ J (H) gives hope to understand the hysteretic observations from realistic granular assemblies, and also provides a simple explanation of shear jamming. Modifications of continuum models like anisotropic models [41,68], or GSH type models [84,85], by including a variable φ J , can this way quantitatively explain various mechanisms around jamming.…”

Section: Prediction: Minimal Modelmentioning

confidence: 99%

Memory of jamming–multiscale models for soft and granular matter

Kumar¹,

Luding²

2016

Granular Matter

105

149

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Soft, disordered, micro-structured materials are ubiquitous in nature and industry, and are different from ordinary fluids or solids, with unusual, interesting static and flow properties. The transition from fluid to solid-at the socalled jamming density-features a multitude of complex mechanisms, but there is no unified theoretical framework that explains them all. In this study, a simple yet quantitative and predictive model is presented, which allows for a changing jamming density, encompassing the memory of the deformation history and explaining a multitude of phenomena at and around jamming. The jamming density, now introduced as a new state-variable, changes due to the deformation history and relates the system's macroscopic response to its micro-structure. The packing efficiency can increase logarithmically slow under gentle repeated (isotropic) compression, leading to an increase of the jamming density. In contrast, shear deformations cause anisotropy, changing the packing efficiency exponentially fast with either dilatancy or compactancy as result. The memory of the system near jamming can be explained by a micro-statistical model that involves a multiscale, fractal energy landscape and links the microscopic particle picture to the macroscopic continuum description, providing a unified explanation for the qualitatively different flow-behavior for different deformation modes. To complement our work, a recipe to extract the history-dependent jamming density from experimentally accessible data is proposed, and alternative state-variables This article is part of the Topical Collection on Micro origins for macro behavior of granular matter. are compared. The proposed simple macroscopic constitutive model is calibrated from particles simulation data, with the variable jamming density-resembling the memory of microstructure-as essential novel ingredient. This approach can help understanding predicting and mitigating failure of structures or geophysical hazards, and will bring forward industrial process design and optimization, and help solving scientific challenges in fundamental research.

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Section: Prediction: Minimal Modelmentioning

confidence: 99%

Memory of jamming–multiscale models for soft and granular matter

Kumar¹,

Luding²

2016

Granular Matter

105

149

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“…(In addition, the granular temperature T g is needed as a variable). Again, a wide range of experiments were shown well accounted for by its hydrodynamics [22]. Colloidal suspensions and yielding soft matter are prime candidates for a similar treatment in the future.…”

Section: Introductionmentioning

confidence: 99%

Transient elasticity and polymeric fluids: Small-amplitude deformations

et al. 2016

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Transient elasticity (TE) is a concept useful for a systematic generalization of viscoelasticity. Due to its thermodynamic consistency, it naturally leads to a simple description of non-Newtonian effects displayed by polymeric fluids, granular media, and other soft matter. We employ a continuum-mechanical theory that is derived from TE and tailored to polymeric fluids, showing how it captures a surprisingly large number of phenomena in shear and elongational flows, including stationary, oscillatory, and transient ones, as well as the flow down an inclined channel. Even the Weissenberg effect is well accounted for. This theory is applicable for small- as well as large-amplitude deformations. We concentrate on the former in the present article, leaving the latter to a companion article.

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“…The above consideration is the basic physics of the observation of [45]. It helps to put rate-independence, frequently deemed a fundamental property of granular media, into the [22] for details]. Inset is the experimental curve of [45], with the torque τ denoted as T , as in [45].…”

Section: Approach To the Critical State At Constant Densitymentioning

confidence: 99%

Similarities between GSH, hypoplasticity and KCR

Jiang

Liu

2016

Acta Geotech.

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Accounting for elasto-plastic motion in granular media, hypoplasticity is a state-of-the-art constitutive model derived from data accumulated over many decades. In contrast, GSH, a hydrodynamic theory, is derived from general principles of physics, with comparatively few inputs from experiments, yet sporting an applicability ranging from static stress distribution via elasto-plastic motion to fast dense flow, including non-uniform ones such as a shear band. Comparing both theories, we find great similarities for uniform, slow, elasto-plastic motion. We also find that proportional paths and the Goldscheider rule used to construct barodesy, another, more recent constitutive model, are natural results of GSH's equations. This is useful as it gives these constitutive relations a solid foundation in physics, and in reverse, GSH a robust connection to reality. The same symbiotic relation exists between GSH and KCR, or Kamrin's non-local constitutive relation, a model that was successfully employed to account for a wide shear band in split bottom cells.

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Applying GSH to a wide range of experiments in granular media

Cited by 24 publications

References 122 publications

Memory of jamming–multiscale models for soft and granular matter

Memory of jamming–multiscale models for soft and granular matter

Transient elasticity and polymeric fluids: Small-amplitude deformations

Similarities between GSH, hypoplasticity and KCR

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