A constitutive model for granular materials considering grain breakage

Hu, Wei; Yin, Zhen‐Yu; Dano, Christophe; Hicher, Pierre Yves

doi:10.1007/s11431-011-4491-0

Cited by 112 publications

(41 citation statements)

References 24 publications

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“…Daouadji et al (2001), who proposed one of the first constitutive models that consider 74 the effect of breakage, based their investigation on the effect grain breakage has on the critical 75 state line. This observation was the basis for many other constitutive models (Russell and Khalili 76 2002;Hu et al 2011;Wood et al 2009). The framework proposed by Einav (2007b) is based on a 77 yielding condition that derives from the definition of Einav's breakage parameter (Einav 2007b), 78 coupled to some other hypotheses.…”

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confidence: 82%

“…Breakage is introduced as a hardening parameter (Daouadji et al 2001;Einav 2007a;45 Wood et al 2009), or is calculated from the stress parameters that are computed independently 46 (Hu et al 2011). In addition, breakage is considered to be a plasticity indicator, and starts with the 47 onset of plasticity, which does not represent the reality of the phenomenon.…”

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confidence: 99%

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Particle breakage in granular materials — a conceptual framework

Konrad

Salami

2018

Can. Geotech. J.

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A simple, yet complete framework is introduced with the aim of modelling grain breakage in soils and crushable granular materials. The evolution of grain breakage is measured using a specific parameter of the grain-size distribution. The evolution of this new breakage parameter is related to the applied mechanical work, which allows the predictions to be independent of the stress paths. The correlation function proposed is trilinear, and is capable of describing the initiation, development, and stabilization of breakage. The initial state, coupled with three additional parameters, is used to calibrate this function. The three parameters are related to a grain specific quantity representing the strength of the particles that form the granular medium. The theory of fractal fragmentation is adopted, and the final state is considered to be unique and described by a single parameter: the fractal dimension. When tested against experimental results, this model was able to correctly predict the crushable behavior of a sand.

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confidence: 82%

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confidence: 99%

Particle breakage in granular materials — a conceptual framework

Konrad

Salami

2018

Can. Geotech. J.

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“…Employing Eqs. (26) and (27), the thermal conductance H e of the rectangular sample of granular material with random packing structure can be expressed as.…”

Section: The Parallel-column Modelmentioning

confidence: 99%

“…The probability density function p(d) of the fractal distribution is formulated as [26] pðdÞ ¼ ð3 À aÞ d 2Àa…”

Section: Parameter Valuementioning

confidence: 99%

A new model for heat transfer through the contact network of randomly packed granular material

Liang

2014

Applied Thermal Engineering

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“…It is concluded that the reference crushing stress could be regarded as an effective index to evaluate the strength of granular material in triaxial compression tests. [11][12][13][14][15] to describe crushing behaviour for granular materials. Although most of them are capable of representing the variation in mechanical behaviour before and after particle crushing occurrence, less of them directly adopt the crushing stress in the specific expression of constitutive relation.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation on the Reference Crushing Stress of Granular Materials in Triaxial Compression Test

Yamamoto

2015

Period. Polytech. Civil Eng.

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KeywordsConstitutive model · particle crushing · single particle strength · particle diameter · relative density Yang WuDepartment of Civil Engineering, Yamaguchi University, Ube 7558611, Japan e-mail: yangwuuu0226@hotmail.com Haruyuki YamamotoGraduate School for International Development and Cooperation, Hiroshima University, Higashi-Hiroshima 7398529, Japan e-mail: a040564@hiroshima-u.ac.jp IntroductionEstimation of crushing stress is vital to comprehend the crushing mechanism of granular material. In geotechnical practice, it is significantly important to consider and decide the crushing stress of granular material when we estimate the bearing capacity of pile penetrating into crushable sand and analyze the stability of soil at bottom of the dam. For an individual particle, tensile strength is a very useful index because that it expresses the average stress or force on a single grain. It can be measured from a single particle crushing test. The volume of a grain is assumed to be spherical for simplification. Dexter and Kroesbergen (1985) [1] had compared a numbered of methods to calculate the tensile stress of granular materials. Many researchers (Jaeger (1967), McDowell et al. (1996), McDowell and Bolton (1998), Nakata et al. (2001b), McDowell and Debono (2013)) [2-6] had rewritten the equation by revising the expression of grain diameter. Essentially, the tensile stress expresses the strength of a grain from a micro viewpoint. In most cases, the crushing strength for a specimen of assembled grains but not an individual particle is in urgent demand for laboratorial tests and field practice. However, very limited studies have been conducted on the crushing stress of granular material in triaxial compression tests.The influence of such a kind of strength index on the mechanical behaviour of granular materials needs further examination. Harbin (1985) [7] had defined a relative breakage index containing the breakage reference stress. However, this breakage reference stress did not focus on its relevant form of granular material in triaxial tests from a macro viewpoint but was directly linked to the mechanical behaviour under specific loading. Nakata et al. (1999) [8] had only correlated the maximum value of mean normal stress with breakage factor. The constitutive model proposed by Yao et al. (2008) which adopts a reference crushing stress provides an option to solve this difficulty [9]. It is noted that no positive dilatancy of granular material in triaxial test occurs once the confining pressure exceeds a certain stress level. That stress is defined as the reference crushing stress. This constitutive model has been employed to evaluate the crushing

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A constitutive model for granular materials considering grain breakage

Cited by 112 publications

References 24 publications

Particle breakage in granular materials — a conceptual framework

Particle breakage in granular materials — a conceptual framework

A new model for heat transfer through the contact network of randomly packed granular material

Numerical Investigation on the Reference Crushing Stress of Granular Materials in Triaxial Compression Test

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