Two-scale modeling of granular materials: a DEM-FEM approach

Nitka, Michał; Combe, Gaël; Dascalu, Cristian; Desrues, Jacques

doi:10.1007/s10035-011-0255-6

Cited by 92 publications

(62 citation statements)

References 7 publications

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“…Special focus has been placed on developing effective ways to link the microscopic origins and mechanisms of granular media with their overall mechanical behavior, or so-called micro-macro bridging through homogenization techniques [10,11]. The concept and the methodology are further extended to a hierarchical cross-scale framework [12,13,14] to solve true boundary value problems (BVPs) where the macroscopic responses are homogenized from microscopic discrete data, thus the constitutive law is no longer required. In line with this, the study is devoted to develop a crossscale modeling framework for granular material modeling.…”

Section: Introductionmentioning

confidence: 99%

A hierarchical model for cross-scale simulation of granular media

Guo¹,

Zhao²

2013

AIP Conference Proceedings

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Abstract. This paper presents a multiscale modeling framework for granular media based on a hierarchical cross-scale approach. The overall material is treated as a continuum on the macroscale and the corresponding boundary value problem is solved by ¿nite element method (FEM). At each Gauss point of the FEM mesh, a discrete element assembly is embedded from which the material behavior is obtained for the global FEM computation. It is demonstrated that this technique may capture the salient macroscopic behavior of granular media in a natural manner, and meanwhile helps to bypass the conventional phenomenological nature of continuum modeling approaches. Moreover, the framework provides us with rich information on the particle level which can be closely correlated to the macroscopic material response and hence helps to shed lights on the cross-scaling understanding of granular media. Speci¿c linkages between the microscopic origins and mechanisms and the macroscopic responses can be conveniently developed. As a demonstrative example, the strain localization of granular sand in biaxial compression test is investigated by the multiscale approach to showcase the above features.

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Section: Introductionmentioning

confidence: 99%

A hierarchical model for cross-scale simulation of granular media

Guo¹,

Zhao²

2013

AIP Conference Proceedings

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“…Some early works [11,16,20], have put in evidence the potential of the method to provide a refined description of complex constitutive behaviors. Indeed, FEMxDEM methods allow to couple the advantages of Discrete Elements and the efficiency of Finite Elements.…”

Section: Introductionmentioning

confidence: 99%

Restoring Mesh Independency in FEM-DEM Multi-scale Modelling of Strain Localization Using Second Gradient Regularization

Desrues

Argilaga

Pont

et al. 2017

Springer Series in Geomechanics and Geoengineering

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Continuum media from classical mechanics cannot appropriately reproduce the evolution of materials exhibiting strong heterogeneities in the strain field, e.g. strain localization. Models without a microscale representation cannot properly reproduce the microscale mechanisms that trigger the strain localization, in addition, first gradient relations don't present any length parameter in the formulation. This results in a model without a characteristic length that cannot exhibit any objective band width. In this paper, techniques to introduce an internal length will be enumerated. Microstuctured materials will be retained and in particular Second Gradient model will be exposed and used along with a FEMxDEM approach. Numerical results showing the abilities of the enriched model will conclude the text.

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“…Adopting reasonable parameters [6][7][8] and bridging the micro-and macrofields [9][10][11] have attracted a great deal of research in recent years [12][13][14]. Although many experiments are performed on the fabric of granular materials [7,15,16], which are complicated and expensive, the analysis is in dispute under some conditions.…”

Section: Introductionmentioning

confidence: 99%

Evolution of the Mesoscopic Parameters and Mechanical Properties of Granular Materials upon Loading

Cao

Liu

Lian

2017

Mathematical Problems in Engineering

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Biaxial tests of granular materials under different lateral pressures were numerically simulated to study both the macromechanical behavior and evolution of mesoscopic parameters, including the coordination number, degree, clustering coefficient, and average shortest path length, which can provide information bridging mesoscale to macroscale of the mechanical properties of granular materials in a different and new way. The analysis results demonstrate that, with the increasing lateral pressure, there is a higher coordination number for denser granular material, and the coordination number of the samples eventually tends to the similar value at critical state with the same lateral pressure for different initial porosities; the distribution of the degree is very similar for samples with different initial porosities at critical state; the evolution of the clustering coefficients with axial strain is almost the same as that of the coordination number. At critical state, the clustering coefficients of all samples are almost identical, which means that the internal structures of samples with various initial porosities are similar; the average shortest path decreases with increasing lateral pressure and tends to be stable in the critical state. Additionally, the diameter of the contact network of granular material hardly changes at different lateral pressures at critical state.

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Two-scale modeling of granular materials: a DEM-FEM approach

Cited by 92 publications

References 7 publications

A hierarchical model for cross-scale simulation of granular media

A hierarchical model for cross-scale simulation of granular media

Restoring Mesh Independency in FEM-DEM Multi-scale Modelling of Strain Localization Using Second Gradient Regularization

Evolution of the Mesoscopic Parameters and Mechanical Properties of Granular Materials upon Loading

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