Multiscale modeling and characterization of granular matter: From grain kinematics to continuum mechanics

Andrade, José E.; Ávila, Carlos; Hall, Stephen A.; Lenoir, Nicolas; Viggiani, Gioacchino

doi:10.1016/j.jmps.2010.10.009

Cited by 168 publications

(89 citation statements)

References 27 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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“…This requires the computation of the effective macroscopic stress tensorP, calculated from expression (14) via the boundary forces acting on the granular micro-structure, but circumvents the additional computation of the (computationally expensive) constitutive tangent matrix typically required in implicit time marching schemes. Correspondingly, the macro-scale balance equation, originally given by relation (18), takes the form…”

Section: Dynamic Relaxationmentioning

confidence: 99%

“…In [16] this framework is applied for developing multi-scale insights into classical geomechanical problems, such as retaining wall and footing problems. Coupled FEM-DEM approaches are commonly validated by analysing the macroscopic structural response in experimental tests typical for granular media, such as a biaxial compression test [11,15,[17][18][19], a slope stability test [20], or a (cyclic) shear test [15].…”

Section: Introductionmentioning

confidence: 99%

Multi-scale modelling of granular materials: numerical framework and study on micro-structural features

2018

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A multi-scale model for the analysis of granular systems is proposed, which combines the principles of a coupled FEM-DEM approach with a novel servo-control methodology for the implementation of appropriate micro-scale boundary conditions. A mesh convergence study is performed, whereby the results of a quasi-static biaxial compression test are compared with those obtained by direct numerical simulations. The comparison demonstrates the capability of the multi-scale method to realistically capture the macro-scale response, even for macroscopic domains characterized by a relatively coarse mesh; this makes it possible to accurately analyse large-scale granular systems in a computationally efficient manner. The multi-scale framework is applied to study in a systematic manner the role of individual micro-structural characteristics on the effective macro-scale response. The effect of particle contact friction, particle rotation, and initial fabric anisotropy on the overall response is considered, as measured in terms of the evolution of the effective stress, the volumetric deformation, the average coordination number and the induced anisotropy. The trends observed are in accordance with notions from physics, and observations from experiments and other DEM simulations presented in the literature. Hence, it is concluded that the present framework provides an adequate tool for exploring the effect of micro-structural characteristics on the macroscopic response of large-scale granular structures.

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“…Traditionally, many relevant studies have been carried out based on experiments or continuum modeling [39,40]. The trend in methodology on this topic has recently shifted to combined, multiple approaches including advanced experimental tools such as X-Ray CT [41] and discrete element methods or computational multiscale modeling approaches [26,42]. Hadda et al [43] employed the discrete element method to examine particle-level energy decomposition in relation with their signature contributions to macroscopic failure modes including shear banding and diffuse failure.…”

Section: Rotation Breakage Failure and Aggregationmentioning

confidence: 99%

Micro origins for macro behavior in granular media

et al. 2016

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We report the latest advances in understanding, characterization and modeling of key micro mechanisms and origins underpinning the interesting and complex macroscopic behavior of granular matter. Included in this Topical Collection are novel theories, innovative experimental tools and new numerical approaches, focusing primarily on three subtopics governing important multiscale properties of granular media: (a) the jamming transition from fluid-to solid-like behavior, critical state flow and wave propagation, (b) the signature of fabric and its evolution for granular media under general loading conditions, and (c) mechanisms like rotation, breakage, failure and aggregation. The significance of these contributions and exploratory future directions pertaining to cross-scale understanding of granular matter are discussed.

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Multiscale modeling and characterization of granular matter: From grain kinematics to continuum mechanics

Cited by 168 publications

References 27 publications

A hierarchical model for cross-scale simulation of granular media

A hierarchical model for cross-scale simulation of granular media

Multi-scale modelling of granular materials: numerical framework and study on micro-structural features

Micro origins for macro behavior in granular media

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