Three-dimensional constitutive relations for granular materials based on the dilatant double shearing mechanism and the concept of fabric

Zhu, Huaning; Mehrabadi, Morteza M.; Massoudi, Mehrdad

doi:10.1016/j.ijplas.2005.04.013

Cited by 41 publications

(32 citation statements)

References 33 publications

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“…Zhang (2002) related the rate of change of fabric tensor to the rate of plastic strain, whereas Zhu et al (2006aZhu et al ( , 2006b) related it to the rate of elastic strain (because the rate of elastic strain is uniquely related to the rate of stress).…”

Section: Plastic Constitutive Law and Evolution Rulesmentioning

confidence: 99%

“…Recently, Anand and Gu (2000) further extended the double-shearing model to three-dimensional loading. Zhu et al (2006aZhu et al ( , 2006b) extended it to consider the effect of fabric anisotropy in two-and three-dimensional loading conditions. Nemat-Nasser (2000) There are some fundamental differences between the sliding-rolling theory and the double-shearing theory.…”

Section: Introductionmentioning

confidence: 99%

“…Within the double-shearing framework, the models developed by Zhu et al (2006aZhu et al ( , 2006b, Nemat-Nasser (2000) and Nemat-Nasser and Zhang (2002) considered fabric anisotropy. While Zhu et al (2006a) assumed that the evolution of the fabric tensor depends on the rate of stress, Nemat-Nasser (2000) assumed that it depends on the rate of plastic strain.…”

Section: Introductionmentioning

confidence: 99%

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Multi-mechanism anisotropic model for granular materials

Anandarajah

2008

International Journal of Plasticity

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Section: Plastic Constitutive Law and Evolution Rulesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multi-mechanism anisotropic model for granular materials

Anandarajah

2008

International Journal of Plasticity

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“…The post-yield stresses are changed by the granular strain and affect the stress distribution in the pile. The post-yield state has not been considered in the calculation of stress dips by many researchers except Anand and Gu 13 and Zhu et al 14 However, their calculated results do not represent the experimental results. In this article we would present the stress dips considering the post-yield state, validate them using experimental data and explain the stress dip formation mechanism.…”

Section: Introductionmentioning

confidence: 99%

An elucidation for the central stress minimum in granular piles using the smoothed particle hydrodynamics

Yuu¹,

Umekage

2016

AIChE Journal

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Stress distributions on bases of granular piles were predicted based on the constitutive relations obtained by the discrete element method (DEM) using the smoothed particle hydrodynamics to elucidate the mechanism of the central stress minimum beneath piles. The calculated stress distributions are in good agreement with the experimental data of many researchers. A stress peak and a central stress minimum are mainly formed by the granular flows in a pile construction. The location of the stress peak was the same location of the minimum granular velocity before the granular pile became stationary. This suggests that the location of the stress peak corresponds to the base of the granular arching. The stresses distributions on the bases by a homogeneous falling showed the central stress maximum. The low shear stress gradient by the homogeneous falling produces a central stress peak with a gentle slope.

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“…Recently, we have developed a dilatant double shearing model [7,19] for granular materials by incorporating the effects of microstructure/fabric and its evolution. Besides the typical dilatant, hardening/softening behaviour, this model is also capable of capturing anisotropic behaviour of granular materials and the complex responses under cyclic shear loading test.…”

Section: Introductionmentioning

confidence: 99%

A comparative study of the hypoplasticity and the fabric‐dependent dilatant double shearing models for granular materials

Zhu

Mehrabadi

Massoudi

2006

Num Anal Meth Geomechanics

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SUMMARYIn this paper, we consider the mechanical response of granular materials and compare the predictions of a hypoplastic model with that of a recently developed dilatant double shearing model which includes the effects of fabric. We implement the constitutive relations of the dilatant double shearing model and the hypoplastic model in the finite element program ABACUS/Explicit and compare their predictions in the triaxial compression and cyclic shear loading tests. Although the origins and the constitutive relations of the double shearing model and the hypoplastic model are quite different, we find that both models are capable of capturing typical behaviours of granular materials. This is significant because while hypoplasticity is phenomenological in nature, the double shearing model is based on a kinematic hypothesis and microstructural considerations, and can easily be calibrated through standard tests.

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Three-dimensional constitutive relations for granular materials based on the dilatant double shearing mechanism and the concept of fabric

Cited by 41 publications

References 33 publications

Multi-mechanism anisotropic model for granular materials

Multi-mechanism anisotropic model for granular materials

An elucidation for the central stress minimum in granular piles using the smoothed particle hydrodynamics

A comparative study of the hypoplasticity and the fabric‐dependent dilatant double shearing models for granular materials

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