Fractional order model for granular soils under drained cyclic loading

Sun, Yifei; Xiao, Yang

doi:10.1002/nag.2570

Cited by 20 publications

(4 citation statements)

References 49 publications

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“…Many constitutive models have been proposed to describe sand shear strength and deformation behavior under monotonic (Daouadji et al 2001;Indraratna 2004;Russell and Khalili 2004;Salim and Sun et al 2007;Yao et al 2008;Kikumoto et al 2010;Hu et al 2011;Kan and Taiebat 2014;Xiao et al 2015;Yin et al 2017) and cyclic loadings (Liu and Zou 2013;Zou et al 2013;Kan and Taiebat 2014;b;Chen et al, 2016;Sun and Xiao 2017) considering particle crushing. Advanced numerical tools and testing technologies provide an insight into the grain-scale mechanism of particle crushing (Cheng et al 2003; Wang and Yan 2012;Bono et al 2014;Ma et al 2014;Zhang et al 2015;Zhao et al 2015;Cil et al 2017;Karatza et al 2018;Liu et al 2018).…”

Section: Introductionmentioning

confidence: 99%

Influence of Load Mode on Particle Crushing Characteristics of Silica Sand at High Stresses

Yamamoto

Cui

et al. 2020

Int. J. Geomech.

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A series of high-pressure compression tests with various stress paths under monotonic and cyclic loadings were performed to examine the compression and particle crushing characteristics of silica sand in a dense state. Different stress paths were particularly designated to individually investigate the influences of mean and shear stress on particle crushing. Test results show that the degree of particle crushing increases with the stress level and is pronouncedly affected by the stress paths. For each compression test following a designated stress path, an increase in the cyclic loading number also enhances the degree of particle crushing.Particle morphology is affected by the accompanying occurrence and evolution of grain damage. Notably, the relative breakage expresses a liner relationship with the maximum volumetric strain during monotonic and repeated compression loadings. A good correlation between the relative breakage and plastic work per unit volume is obtained for silica sand at various mean stresses regardless of the stress history. However, this correlation is affected by cyclic loading number because of different crushing mechanisms. During the entire cyclic compression process, the increasing rate of relative breakage is lower than the plastic work increment for dense silica sand as the cyclic loading progresses.

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Section: Introductionmentioning

confidence: 99%

Influence of Load Mode on Particle Crushing Characteristics of Silica Sand at High Stresses

Yamamoto

Cui

et al. 2020

Int. J. Geomech.

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“…After that, Drucker-Prager plastic flow based on fractional calculus is provided in Sumelka. 13 Based on the factional plastic flow theory, some works are done for various materials, such as granular soils, [14][15][16][17] clay, 18 rocks, 19,20 concrete, 21 and so forth. Therefore, the fractional plastic model is employed in this paper.…”

Section: Introductionmentioning

confidence: 99%

Meta‐modeling of fractional constitutive relationships for rocks based on physics‐induced machine learning

Zhang

Zhu

2023

Num Anal Meth Geomechanics

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A fractional constitutive meta-model for the mechanical behavior of rocks is proposed to bypass complex integration algorithms and consider the uncertainty of model/material parameters. First, a physics-induced database is constructed with the aid of a fractional constitutive model and two developed input-output strategies. Then three machine algorithms (i.e., random forests, extreme gradient boosting, and multilayer perceptron) together with two input-output strategies are employed to formulate six different meta-models. The grid-search and fivefold cross-validation methods are utilized to optimize key hyperparameters of meta-models. Through the comparisons of evaluation metrics and prediction results, the multilayer perceptron algorithm with strategy II becomes an optimal combination to construct the meta-model. The results of the feature's importance and sensitivity analyses indicate that the parameters' influences in this data-driven paradigm are in line with physical reality. The effectiveness of the proposed meta-model is validated by comparing the predicted results with experimental observations from the literature. Additionally, the uncertainty analyses from the meta-model and material/model parameters can be conducted based on a linear regression model and the Monte Carlo simulation. The study results show that the presented meta-model based on physics-guided synthetic data has the potential to replace the general fractional constitutive model.

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“…erefore, numerical simulation can be a good choice in such cases, and an appropriate constitutive model plays a critical role in numerical simulation. In recent decades, substantial e orts have been made to establish an accurate constitutive model for describing the deformation and strength characteristics of rock materials related to rock engineering [5][6][7][8][9][10][11][12]. e damage models of rock are currently one of the main trends in the research on rock damage, in which the damage variable is the fatal foundation.…”

Section: Introductionmentioning

confidence: 99%

Development of a Model for Initial Compaction Stage in Rock Based on Energy Dissipation

Nie

Cai

et al. 2022

Advances in Materials Science and Engineering

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An accurate model is essential for the numerical simulation of the rock failure occurring under different conditions. However, the expression of the initial compression stage is often overlooked in the widespread constitutive models. In this pursuit, several models considering the initial compression stage were gathered from the previous studies, and a model based on the energy dissipation principle was proposed in the present study. Subsequently, the experimental data of five different types of rock under uniaxial load was collected from the literature to verify the validity of the proposed model, and the performance was compared with the other models. It was found that all the models listed in this study exhibited good performance in expressing the stress-strain curve during the initial compression stage.

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Fractional order model for granular soils under drained cyclic loading

Cited by 20 publications

References 49 publications

Influence of Load Mode on Particle Crushing Characteristics of Silica Sand at High Stresses

Influence of Load Mode on Particle Crushing Characteristics of Silica Sand at High Stresses

Meta‐modeling of fractional constitutive relationships for rocks based on physics‐induced machine learning

Development of a Model for Initial Compaction Stage in Rock Based on Energy Dissipation

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