3D generation of realistic granular samples based on random fields theory and Fourier shape descriptors

Mollon, Guilhem; Zhao, Jidong

doi:10.1016/j.cma.2014.06.022

Cited by 182 publications

(56 citation statements)

References 31 publications

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“…Further studies are needed to find more efficient solutions schemes, ie, adaptive multiscale homogenization, to mitigate the computational cost of the multiscale modeling. It is also desired to enrich the functionalities of current multiscale approach by considering grain morphology, particle breakage, or hydro‐mechanical coupling . Although all cases discussed in this paper have been based on 2D simulations, it is straightforward to further implement the code in 3D as the multiscale framework is proposed in generalized form and, both the adopted MPM solver ( NairnMPM ) and DEM solver ( YADE ) have built‐in 3D capabilities.…”

Section: Discussionmentioning

confidence: 99%

Multiscale modeling of large deformation in geomechanics

Liang

Zhao

2019

Num Anal Meth Geomechanics

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Summary Large deformation soil behavior underpins the operation and performance for a wide range of key geotechnical structures and needs to be properly considered in their modeling, analysis, and design. The material point method (MPM) has gained increasing popularity recently over conventional numerical methods such as finite element method (FEM) in tackling large deformation problems. In this study, we present a novel hierarchical coupling scheme to integrate MPM with discrete element method (DEM) for multiscale modeling of large deformation in geomechanics. The MPM is employed to treat a typical boundary value problem that may experience large deformation, and the DEM is used to derive the nonlinear material response from small strain to finite strain required by MPM for each of its material points. The proposed coupling framework not only inherits the advantages of MPM in tackling large deformation engineering problems over the use of FEM (eg, no need for remeshing to avoid mesh distortion in FEM), but also helps avoid the need for complicated, phenomenological assumptions on constitutive material models for soil exhibiting high nonlinearity at finite strain. The proposed framework lends great convenience for us to relate rich grain‐scale information and key micromechanical mechanisms to macroscopic observations of granular soils over all deformation levels, from initial small‐strain stage en route to large deformation regime before failure. Several classic geomechanics examples are used to demonstrate the key features the new MPM/DEM framework can offer on large deformation simulations, including biaxial compression test, rigid footing, soil‐pipe interaction, and soil column collapse.

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Section: Discussionmentioning

confidence: 99%

Multiscale modeling of large deformation in geomechanics

Liang

Zhao

2019

Num Anal Meth Geomechanics

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“…XRCT and other methods of digital imaging of experiments are now the norm in experimental grain-scale mechanics [19,35], able to measure quantities such as the void ratio in a shear band [1] and track the motion of grains [2]. Increases in image fidelity and resolution have led to a number of characterization approaches such as level sets [40], spherical harmonics [16,37], and Fourier analyses [9,30] that can process image data to quantify grain kinematics and morphological measures (e.g., sphericity and roundness) [10]. Although characterization techniques have seen tremendous progress, they lack the ability to probe one crucial aspect of granular materials from which strength-related quantities are derived: interparticle contact forces.…”

Section: Introductionmentioning

confidence: 99%

Multiscale characterization and modeling of granular materials through a computational mechanics avatar: a case study with experiment

et al. 2015

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Through a first-generation computational mechanics avatar that directly links advanced X-ray computed tomographic experimental techniques to a discrete computational model, we present a case study where we made the first attempt to characterize and model the grainscale response inside the shear band of a real specimen of Caicos ooids subjected to triaxial compression. The avatar has enabled, for the first time, the transition from faithful representation of grain morphologies in X-ray tomograms of granular media to a morphologically accurate discrete computational model. Grain-scale information is extracted and upscaled into a continuum finite element model through a hierarchical multiscale scheme, and the onset and evolution of a persistent shear band is modeled, showing excellent quantitative agreement with experiment in terms of both grain-scale and continuum responses in the postbifurcation regime. More importantly, consistency in results across characterization, discrete analysis and continuum response from multiscale calculations are found, achieving the first and long sought-after quantitative breakthrough in grain-scale analysis of real granular materials.

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“…Image processing techniques, for example, have been developed to reconstruct 3D particles from computed tomography (CT) images of realistic grains, based on which characteristics of particle shape and granular fabric can be analyzed . Fourier shape descriptors combined with random fields theory and spherical harmonics have been proposed to characterize the complex shape features associated with a natural grain. These methods have been further used to guide the clumping or clustering of spheres/disks (the clump technique) to generate virtual 3D/2D particles with realistic complex shapes for use in DEM modeling .…”

Section: Introductionmentioning

confidence: 99%

“…These methods have been further used to guide the clumping or clustering of spheres/disks (the clump technique) to generate virtual 3D/2D particles with realistic complex shapes for use in DEM modeling . To render sufficient accuracy for fitting the shape characteristics, however, a large number of spheres/disks are needed (approximately 100‐400 reported in the literature) to form a single clumped particle, which invariably leads to unwanted dramatical increase in computational cost due to orders of magnitude increase in need for contact detection in a DEM simulation . This may limit the total number of clumped particles one can simulate in DEM.…”

Section: Introductionmentioning

confidence: 99%

A poly‐superellipsoid‐based approach on particle morphology for DEM modeling of granular media

Zhao

2019

Num Anal Meth Geomechanics

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108

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Summary Particle morphology plays a key role in affecting physical and mechanical behaviors of granular media. While various mathematical approaches and shape descriptors have been proposed to describe the morphological properties of granular particles, it remains a challenge to effectively incorporate them for efficient discrete modeling of granular materials. This study presents a new poly‐superellipsoid‐based approach for three‐dimensional discrete element method (DEM) modeling of non‐spherical convex particles. A uniform mathematical description of 3D poly‐superellipsoidal surface is employed to represent a realistic granular particle, which is shown to be versatile and effective in reproducing a wide range of shape features (including elongation, flatness, angularity, and asymmetry) for real particles in nature. A novel optimization approach based on hybrid Levenberg‐Marquardt (LM) and Gilbert‐Johnson‐Keerthi (GJK) algorithms is further developed for efficient and robust contact detection in DEM simulation of poly‐superellipsoidal assemblies. Simulations of granular packing and triaxial compression tests show that the proposed approach is generally robust and efficient for both dynamic and quasistatic modeling of granular media.

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3D generation of realistic granular samples based on random fields theory and Fourier shape descriptors

Cited by 182 publications

References 31 publications

Multiscale modeling of large deformation in geomechanics

Multiscale modeling of large deformation in geomechanics

Multiscale characterization and modeling of granular materials through a computational mechanics avatar: a case study with experiment

A poly‐superellipsoid‐based approach on particle morphology for DEM modeling of granular media

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