On statistical description of stress and fabric in granular materials

A micromechanically-based constitutive model is developed for inelastic deformation of frictional granular assemblies. It is assumed that the deformation is produced by relative sliding and rolling of granules, accounting for pressure sensitivity, friction, dilatancy (densi®cation), and, most importantly, the fabric (anisotropy) and its evolution in the course of deformation. Attention is focused on two-dimensional rate-independent cases. The presented theory fully integrates the micromechanics of frictional granular assemblies at the micro-(grains), meso-(large collections of grains associated with sliding planes), and macro-(continuum) scales. The basic hypothesis is that the deformation of frictional granular masses occurs through simple shearing accompanied by dilatation or densi®cation (meso-scale), depending on the microstructure (micro-scale) and the loading conditions (continuum-scale). The microstructure and its evolution are de®ned in terms of the fabric and its evolution. While the elastic deformation of most frictional granular assemblies is rather small relative to their inelastic deformation, it is included in the theory, since it a ects the overall stresses. 7

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“…To estimate the resisting shear stress due to fabric anisotropy, set 3 See Mehrabadi et al (1982) for comments.…”

Section: A Two-dimensional Modelmentioning

confidence: 99%

A micromechanically-based constitutive model for frictional deformation of granular materials

Nemat‐Nasser

2000

Journal of the Mechanics and Physics of Solids

109

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“…Clearly, this is one of the limitations of the classical continuum theories (which we have used in this paper). To overcome some of these deficiencies, more advanced continuum theories such as micromechanical theories [35], micropolar theories [36], or fabric tensor approach [37,38], etc. can be used.…”

Section: The Constitutive Equationsmentioning

confidence: 99%

Entropy Analysis for a Nonlinear Fluid with a Nonlinear Heat Flux Vector

Yang

Massoudi

Kirwan

2017

Entropy

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Flowing media in both industrial and natural processes are often characterized as assemblages of densely packed granular materials. Typically, the constitutive relations for the stress tensor and heat flux vector are fundamentally nonlinear. Moreover, these equations are coupled through the Clausius-Duhem inequality. However, the consequences of this coupling are rarely studied. Here we address this issue by obtaining constraints imposed by the Clausius-Duhem inequality on the constitutive relations for both the stress tensor and the heat flux vector in which the volume fraction gradient plays an important role. A crucial result of the analysis is the restriction on the dependency of phenomenological coefficients appearing in the constitutive equations on the model objective functions.

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“…Hence, local constitutive relations can be prescribed in terms of the structural and kinematic variables of local scale, to understand how they contribute to mobilising macroscopic strength characteristics of granular materials. Several studies have been reported in the past on different types of the fabric measures in granular materials [35][36][37].…”

Section: Analysis Of the Fabric Of The Inclusions Using Dem Simulationsmentioning

confidence: 99%

Interplay between the inclusions of different sizes and their proximity to the wall boundaries on the nature of their stress distribution within the inclusions inside particulate packing

Antony

Chapman

Sujatha³

et al. 2015

Powder Technology

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(2015) 'Interplay between the inclusions of different sizes and their proximity to the wall boundaries on the nature of their stress distribution within the inclusions inside particulate packing', Powder Technology, 286, 98-106 ACCEPT ED M a nusc ript :I nt e rpla y be t w e e n t he inc lusions of diffe re nt size s a nd t he ir prox im it y t o t he w a ll bounda rie s on t he na t ure of t he ir st re ss dist ribut ion w it hin t he inc lusions inside pa rt ic ula t e pa c k ing In this work, photo stress analysis tomography (PSAT) is used to sense the fundamental nature of the stress experienced by different sizes of optically-sensitive inclusions inside granular packing (quasi-three dimensional) under an external axial-compression loading.The distribution of the maximum shear stress and the direction of the major principal stress experienced by the inclusions are analysed to understand the interplay between the size of the inclusions and their proximity to the wall boundary. The outcomes of this study provide a new understanding on the dual nature of stress transmission experienced by the inclusions, as

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On statistical description of stress and fabric in granular materials

Cited by 205 publications

References 10 publications

A micromechanically-based constitutive model for frictional deformation of granular materials

A micromechanically-based constitutive model for frictional deformation of granular materials

Entropy Analysis for a Nonlinear Fluid with a Nonlinear Heat Flux Vector

Interplay between the inclusions of different sizes and their proximity to the wall boundaries on the nature of their stress distribution within the inclusions inside particulate packing

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