Modelling the influence of fines content on the instability of silty sands considering grain scale interactions

Le-Anh, L.; Nguyen, Giang D.; Bui, Ha H.; Andrade, José E.

doi:10.1016/j.ijplas.2021.103020

Cited by 6 publications

(4 citation statements)

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“…Note that the future reference critical state is a state which can be reached by soils subjected to sufficient shearing. This state was experimentally and numerically evidenced in many reported researches [ 3 , 4 , 6 , 7 , 26 , 27 , 28 ], and characterized by the critical state lines in the mean effective stress v.s. deviator stress space and the mean effective stress v.s.…”

Section: Progress In Fpmentioning

confidence: 66%

“…However, there is one other option: that is to use the stress ratio at the phase transformation state, i.e.,

, to determine the fractional order as suggested by Liang, et al [ 40 ]. As suggested by Nguyen and his coworkers [ 26 , 27 , 28 , 36 , 37 ], the phase-transformation-state parameter (

) and strain hardening parameter (

) are also a function of M and the state parameter.…”

Section: Progress In Fpmentioning

confidence: 98%

“…Specifically speaking, to capture the stress-dilatancy behaviour of granular soil, the following fractional-order dilatancy ratio (

) based on the Modified Cam-clay (MCC) function was proposed [ 33 ]:

where

and

, are the mean effective stress and deviatoric stress, respectively;

is the Kronecker delta; M and

denote the critical-state and current-state stress ratios, respectively. Unlike other critical state parameters, the critical-state stress ratio (M) can be influenced by many factors, e.g., the particle shape [ 27 ], but it should not be affected by fines content [ 26 , 36 ] or shearing mode [ 28 , 37 ]. The effect of

on the stress-dilatancy behaviour of granular soil can be observed in Figure 2 .…”

Section: Progress In Fpmentioning

confidence: 99%

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Review on Stress-Fractional Plasticity Models

Sun

Sumelka

2022

Materials

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Fractional calculus plays an increasingly important role in mechanics research. This review investigates the progress of an interdisciplinary approach, fractional plasticity (FP), based on fractional derivative and classic plasticity since FP was proposed as an efficient alternative to modelling state-dependent nonassociativity without an additional plastic potential function. Firstly, the stress length scale (SLS) is defined to conduct fractional differential, which influences the direction and intensity of the nonassociated flow of geomaterials owing to the integral definition of the fractional operator. Based on the role of SLS, two branches of FP, respectively considering the past stress and future reference critical state can be developed. Merits and demerits of these approaches are then discussed, which leads to the definition of the third branch of FP, by considering the influences of both past and future stress states. In addition, some specific cases and potential applications of the third branch can be realised when specific SLS are adopted.

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Section: Progress In Fpmentioning

confidence: 66%

“…However, there is one other option: that is to use the stress ratio at the phase transformation state, i.e.,

, to determine the fractional order as suggested by Liang, et al [ 40 ]. As suggested by Nguyen and his coworkers [ 26 , 27 , 28 , 36 , 37 ], the phase-transformation-state parameter (

) and strain hardening parameter (

) are also a function of M and the state parameter.…”

Section: Progress In Fpmentioning

confidence: 98%

“…Specifically speaking, to capture the stress-dilatancy behaviour of granular soil, the following fractional-order dilatancy ratio (

) based on the Modified Cam-clay (MCC) function was proposed [ 33 ]:

where

and

, are the mean effective stress and deviatoric stress, respectively;

is the Kronecker delta; M and

on the stress-dilatancy behaviour of granular soil can be observed in Figure 2 .…”

Section: Progress In Fpmentioning

confidence: 99%

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Review on Stress-Fractional Plasticity Models

Sun

Sumelka

2022

Materials

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“…The total stress tensor is calculated as a function of the contact force and branch vector network of the particle assembly 76,77 :…”

Section: Equivalent Von Mises Stressmentioning

confidence: 99%

Strain localization in the standard triaxial tests of granular materials: Insights into meso‐ and macro‐scale behaviours

Phan,

Bui,

Nguyen

et al. 2024

Num Anal Meth Geomechanics

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The standard triaxial tests cease to be valid as material tests since the homogeneity of the granular mass is lost when localized failures such as shear bands occur requiring a different approach to interpreting and analyzing material responses at the meso scale from the macro behaviour. This study sheds light on the above issue by analyzing the standard triaxial tests of the granular specimens undergoing localized failure at different scales using DEM. For the first time, the behaviour of material inside and outside of the shear band as well as the entire sample are quantitatively quantified through DEM simulations. The results enable confirmation of various theoretical hypotheses and experimental observations on the localized failure in granular materials. For example, by quantifying the inter‐particle contact forces of materials inside and outside the shear band zone, it is confirmed that the material outside the localization band undergoes inelastic unloading beyond the bifurcation point, while those inside the localization band experience inelastic shearing to reach the critical state. Moreover, the analysis in this study suggests that if the volume of the localization zone can be precisely measured from the experiment, the mesoscale constitutive responses that truly represent the inelastic behaviour can be quantified. This gives rise to a more appropriate method to obtain inelastic constitutive responses of granular materials from specimens undergoing localized failure in triaxial tests.

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