An experimental investigation of the relationships between grain size distribution and shear banding in sand

Viggiani, Gioacchino; Küntz, Michel; Desrues, Jacques

doi:10.1007/3-540-44424-6_8

Cited by 43 publications

(22 citation statements)

References 9 publications

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“…This is clearly illustrated in [Desrues and Hammad 1985] or in [Desrues 1984] where the two curves of duplicate tests are in many cases rather different as soon as the peak value is attained. Other similar observations about tests performed twice can be found in [Viggiani et al 2001]. These results are often interpreted as the consequence of some (unfortunately unknown) initial imperfection in the studied samples, and based on the deterministic principle, it is argued that if the initial state is completely known the problem should disappear.…”

Section: Introductionsupporting

confidence: 65%

Switching deformation modes in post-localization solutions with a quasibrittle material

Bésuelle

Chambón

Collin

2006

JOMMS

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Localization in a quasibrittle material is studied using a local second-gradient model. Since localization takes place in a medium assumed to be initially homogeneous, nonuniqueness of the solutions of an initial boundary value problem is then also studied. Using enhanced models generalizes the classical localization analysis. In particular, it is necessary to study solutions more continuous (that is, continuous up to the degree one) than the ones used in analysis involving classical constitutive equations. Within the assumptions done, it appears that localization is possible in the second-gradient model if it is possible in the underlying classical model. Then the study of nonuniqueness is conducted for the numerical problem, using different first guesses in the full Newton-Raphson procedure solving the incremental nonlinear equations. Thanks to this method, we are able to simulate qualitatively the nonreproducibility of usual experiment in the postpeak regime.

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Section: Introductionsupporting

confidence: 65%

Switching deformation modes in post-localization solutions with a quasibrittle material

Bésuelle

Chambón

Collin

2006

JOMMS

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“…The results show that the effect of a stochastic grain diameter distribution is rather small independent of its symmetric or nonsymmetric distribution (curves 2-7), which is in agreement with experiments by Viggiani et al [50]. This small effect is visible in the softening regime after the peak only.…”

Section: Effect Of the Stochastic Distribution Of Initial Void Ratio supporting

confidence: 91%

Effect of grain crushing on shear localization in granular bodies during plane strain compression

Tejchman

Górski

Einav

2011

Num Anal Meth Geomechanics

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SUMMARYThis article deals with the effect of grain crushing on shear localization in granular materials during plane strain monotonic compression tests under constant lateral pressure. The grain diameter and the initial void ratio were stochastically distributed using a spatial correlation. To describe the mechanical behavior of cohesionless granular materials during a monotonic deformation path in plane strain compression, we used a micropolar hypoplastic constitutive model that is able to describe the salient properties of granular bodies including shear localization. The model was extended by introducing changes to the grain diameter with varying pressure using formulae from breakage mechanics proposed for crushable granulates. The initial void ratios and grain diameters took the form of correlated random spatial fields described by both symmetric and nonsymmetric random distributions using a homogeneous correlation function. The field realizations were generated with the help of an original conditional rejection method. A few representative samples of the random fields selected from the generated set were taken into account in numerical calculations.

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“…When ϕ, ψ and α are known, we can also evaluate r , namely For example, based on the plane strain experimental results of sand given by Viggiani et al 42 and Alshibli and Sture 43, we calculate r using Equation (72). The results are listed in Tables I and II from which it can be seen that although the experimental samples have very similar ϕ and ψ, the values of shear band orientation α are very scattered.…”

Section: Determination Of the Shear Band Orientationmentioning

confidence: 99%

A non‐coaxial and unbalanced plastic flow rule for geomaterials and its application to the shear band orientation prediction

Wang

Kong

2011

Num Anal Meth Geomechanics

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SUMMARYIn this paper, the non-coaxial relation between the principal plastic strain increments and the principal stresses, which results from the internal friction in geomaterials, is analyzed, and the phenomenon of the unbalanced development of plastic flow in two conjugate directions is discussed. A non-coaxial, unbalanced plastic flow model for Coulomb frictional materials is developed and used to determine the orientation of shear band in geomaterials. It is shown that the unbalanced index r of plastic flow has important effect on the orientation of the shear band, and the orientation determined by the conventional plastic flow theory is only a special case of the proposed model when r = 0. This result soundly explains the reason that the geomaterials with the same internal friction angle and dilatancy angle can have very different shear band orientations. In addition, the difference between the intrinsic and apparent dilatancy angles is analyzed, and it is emphasized that the dilatancy angle commonly used in practice is indeed the apparent dilatancy angle.

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An experimental investigation of the relationships between grain size distribution and shear banding in sand

Cited by 43 publications

References 9 publications

Switching deformation modes in post-localization solutions with a quasibrittle material

Switching deformation modes in post-localization solutions with a quasibrittle material

Effect of grain crushing on shear localization in granular bodies during plane strain compression

A non‐coaxial and unbalanced plastic flow rule for geomaterials and its application to the shear band orientation prediction

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