Continuum hydrodynamics of dry granular flows employing multiplicative elastoplasticity

Neto, Alomir H. Fávero; Borja, Ronaldo I.

doi:10.1007/s11440-018-0700-3

Cited by 62 publications

(14 citation statements)

References 48 publications

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“…When considering a large deformation problem such as sand column collapse, an invariant stress tensor with respect to rigid-body rotation must be applied. Accordingly, the Green-Naghdi rate which gives an objective measure of the stress rate was adopted in this study (Green and Naghdi, 1964;Fávero Neto and Borja, 2018;Fávero Neto et al, 2020;Liang and Zhao, 2019;Jin et al, 2020;Systèmes, 2014): where Ω =Ṙ • R T , R is the rigid body rotation in the polar decomposition of the deformation gradient F . The differences between Green-Naghdi rate and Jaumann rate are significant only if finite rotation of a material point is accompanied by finite shear.…”

Section: Extension Of 3d-h Model At a Low Water Contentmentioning

confidence: 99%

“…There are many possible solutions to simulate the granular column collapse by using numerical methods, e.g., the finite element method (FEM) using the arbitrary Lagrangian-Eulerian (ALE) technique (Crosta et al, 2009;Wu et al, 2019), the discrete element method (DEM) (Utili et al, 2015;Li et al, 2020), the particle finite element method (PFEM) (Zhang et al, 2015), the smoothing particle finite element method (SPFEM) (Jin et al, 2020), the material point method (MPM) (So lowski and Sloan, 2015), and the smooth particle hydrodynamics (SPH) method (Peng et al, 2015;Fávero Neto and Borja, 2018;Wang et al, 2019;Peng et al, 2019;Bui et al, 2008;Yin et al, 2018;Jin et al, 2019b,a). Furthermore, some multi-scale approaches have also been employed to simulate the granular column collapse problem, e.g., a hierarchical coupling scheme to integrate MPM with DEM packings for multi-scale modelling of large deformation in granular materials (Liang and Zhao, 2019).…”

Section: Introductionmentioning

confidence: 99%

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A novel multi-scale large deformation approach for modelling of granular collapse

et al. 2021

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Collapse of granular material is usually accompanied by long run-out granular flows in natural hazards, e.g., rock/debris flow and snow avalanches. This paper presents a novel multi-scale approach for modelling granular column collapse with large deformation. This approach employs the smoothed particle hydrodynamics (SPH) method to solve large deformation boundary value problems while using a micromechanical model to derive the non-linear material response required by the SPH method. After examining the effect of initial cell size, the proposed approach is subsequently applied to simulate the flow of granular column in a rectangular channel at a low water content by varying the initial aspect ratio. The numerical results show good agreement with various experimental observations on both collapse process and final deposit morphology. Furthermore, the mesoscale behavior is also captured owing to the advantages of the micromechanical model. Finally, it was demonstrated that the novel multi-scale approach is helpful in improving the understanding of granular collapse and should be an effective computational tool for the analysis of real-scale granular flow.

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Section: Extension Of 3d-h Model At a Low Water Contentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A novel multi-scale large deformation approach for modelling of granular collapse

et al. 2021

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“…Other applications of RFEM in research include works studying the effects of soil spatial variability on the failure probability of slopes, 4–8 and the influences of spatially random undrained shear strength and stiffness on the displacement and safety factor of excavations 9–13 . In addition, reliability analysis of slope was examined in the current studies 14–18 and other finite element methods were investigated for slope stability analysis 19–21 . So far, these above studies have been limited to considering soil parameters as separated and independent random field structures, ignoring any cross‐correlations that may exist between different parameters.…”

Section: Introductionmentioning

confidence: 99%

Influence of copula approaches on reliability analysis of slope stability using random adaptive finite element limit analysis

Nguyen

Likitlersuang

Tanapalungkorn

et al. 2022

Num Anal Meth Geomechanics

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Recently, random field copulas have been deployed to characterise the dependent structures of spatially variable soil parameters. This study expands on this concept by implementing finite element limit analysis (FELA) with adaptive meshing alongside the copula approach to perform reliability assessment of a geotechnical problem. A hypothetical slope with drained and undrained soil conditions was used as an example. First, adaptive FELA was carried out on the hypothetical slope. Second, single and multiple dependency soil parameter structures were represented by several selected copulas (Gaussian, Frank and Clayton). Finally, random adaptive FELA was implemented to explore the effects of copula selection on slope stability and reliability analyses. Results show that considerably different slope failure probabilities are produced by different copula approaches, and that failure probabilities reduce for simulating multiple dependency structures. In addition, failure probability exhibits different tendencies between drained and undrained soil conditions as soil parameter crosscorrelations become stronger. Failure probabilities are also different when performing lower and upper bound (UB) random adaptive FELA with each of the selected copulas.

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“…For more diffuse responses, other methods are more appropriate, such as finite element method with Lagrangian Integration Points (FEMLIP) 25,26 . A host of meshfree methods, such as element‐free Galerkin, 27,28 smoothed‐particle hydrodynamics, 29–32 and the reproducing kernel particle method 33–35 have been developed explicitly for large‐deformation analysis and applied to problems in soil mechanics. In this paper, we use standard finite elements and leave the integration with numerical methods for very large deformations for future investigation.…”

Section: Introductionmentioning

confidence: 99%

A hardening/softening viscoplastic model for large deformation of soil

Parvaneh

Foster

Chi

2022

Num Anal Meth Geomechanics

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A three-invariant continuum cap plasticity model with viscoplastic features is developed for modeling the large deformation of soil. Multiple failure mechanisms including combined shear and compaction yielding and loss of strength under tension can be captured by this model. The shear yield surface of the model is formulated to be nonlinear and pressure-dependent. The model also features a cap surface that governs inelastic compaction hardening. This cap is formulated as an explicit expression of porosity. The differences in triaxial compression and extension strength are also considered. A set of numerical examples are carried out, including triaxial compression and compression-shear tests, in order to examine the model under confined loading conditions, and observe the formation of shear bands.

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Continuum hydrodynamics of dry granular flows employing multiplicative elastoplasticity

Cited by 62 publications

References 48 publications

A novel multi-scale large deformation approach for modelling of granular collapse

A novel multi-scale large deformation approach for modelling of granular collapse

Influence of copula approaches on reliability analysis of slope stability using random adaptive finite element limit analysis

A hardening/softening viscoplastic model for large deformation of soil

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