Incorporating the effects of fabric in the dilatant double shearing model for planar deformation of granular materials

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

doi:10.1016/j.ijplas.2005.04.008

Cited by 25 publications

(45 citation statements)

References 41 publications

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“…The theory was largely guided by "shear" type tests (e.g., biaxial shear tests of Konishi et al, 1982 on rods, hollow cylindrical tests on sands, etc.). The theory has been shown to compare well with plane strain, and hollow-cylindrical test results (Zhu et al, 2006a;Nemat-Nasser and Zhang, 2002). Numerical triaxial simulations are provided in Balendran and Nemat-Nasser (1993), Zhu et al (2006a) and Nemat-Nasser and Zhang (2002).…”

Section: Introductionmentioning

confidence: 80%

“…The theory has been shown to compare well with plane strain, and hollow-cylindrical test results (Zhu et al, 2006a;Nemat-Nasser and Zhang, 2002). Numerical triaxial simulations are provided in Balendran and Nemat-Nasser (1993), Zhu et al (2006a) and Nemat-Nasser and Zhang (2002). In a recent paper, Zhu et al (2006c) compared the results from the doubleshearing theory with the results of a hypoplastic theory, verified using triaxial data, and showed good agreements.…”

Section: Introductionmentioning

confidence: 82%

“…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%

“…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: Introductionmentioning

confidence: 80%

Section: Introductionmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…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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A critical state sand plasticity model accounting for fabric evolution

Gao

Zhao

et al. 2013

Int. J. Numer. Anal. Meth. Geomech.

178

149

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SUMMARY Fabric and its evolution need to be fully considered for effective modeling of the anisotropic behavior of cohesionless granular sand. In this study, a three‐dimensional anisotropic model for granular material is proposed based on the anisotropic critical state theory recently proposed by Li & Dafalias [2012], in which the role of fabric evolution is highlighted. An explicit expression for the yield function is proposed in terms of the invariants and joint invariants of the normalized deviatoric stress ratio tensor and the deviatoric fabric tensor. A void‐based fabric tensor that characterizes the average void size and its orientation of a granular assembly is employed in the model. Upon plastic loading, the material fabric is assumed to evolve continuously with its principal direction tending steadily towards the loading direction. A fabric evolution law is proposed to describe this behavior. With these considerations, a non‐coaxial flow rule is naturally obtained. The model is shown to be capable of characterizing the complex anisotropic behavior of granular materials under monotonic loading conditions and meanwhile retains a relatively simple formulation for numerical implementation. The model predictions of typical behavior of both Toyoura sand and Fraser River sand compare well with experimental data. Copyright © 2013 John Wiley & Sons, Ltd.

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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

Self Cite

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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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Incorporating the effects of fabric in the dilatant double shearing model for planar deformation of granular materials

Cited by 25 publications

References 41 publications

Multi-mechanism anisotropic model for granular materials

Multi-mechanism anisotropic model for granular materials

A critical state sand plasticity model accounting for fabric evolution

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

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