An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model

Feng, Y. T.

doi:10.1016/j.cma.2020.113454

Cited by 30 publications

(41 citation statements)

References 40 publications

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“…All the derivations that lead to this energy‐conserving linear normal contact model can be found in References 28 and 29. The main contact geometric features defined by the model are shown in Figure 1(B).…”

Section: Contact Volume Based Energy‐conserving Normal Contact Model mentioning

confidence: 99%

“…As each single contact can be handled by the proposed model, multiple contact scenarios can be dealt with automatically. The detailed discussion of the related issues, including the classification of distinct and associated multiple contacts, can be found in Reference 28. The issues related to friction and damping are briefly addressed in Section 3.7.…”

Section: Contact Volume Based Energy‐conserving Normal Contact Model mentioning

confidence: 99%

“…A challenging issue for conventional contact models is how to deal with a multiple contact scenario, as this situation will be encountered for concave particles. A general discussion on the topic can be found in Reference 28, while the related computational aspects for friction and damping are provided here.…”

Section: Surface Triangulated Non‐spherical Particle Contact Modelmentioning

confidence: 99%

“…The same concept is applied to polyhedra and arbitrary 3D shapes in References 13 and 14, and the underlying contact theory is also highlighted in References 14 and 27. This energy‐conserving contact theory is further enhanced and generalized in a recent work 28 . In another closely related work, 29 new numerical procedures are developed which can significantly improve the computational performance of the normal contact model over the original version 14 by avoiding the explicit construction of the contact surfaces of two contacting particles.…”

Section: Introductionmentioning

confidence: 99%

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A generic energy‐conserving discrete element modeling strategy for concave particles represented by surface triangular meshes

Feng

2021

Numerical Meth Engineering

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A generic energy‐conserving linear normal contact model for concave particles in the discrete element method (DEM) is presented in this article. It is derived based on a recently enhanced general energy‐conserving contact theory for arbitrarily shaped particles. A set of more effective evaluation schemes required in the model are also given, which shows that only the intersection boundary between two contact shapes, instead of their contact region or surfaces, is required to be explicitly obtained, thereby substantially improving both efficiency and applicability of the proposed contact model over the previous version. A surface triangular mesh is used to represent any 3D concave particle. The computational issues associated with the contact of two surface triangulated 3D shapes, including the contact detection, the determination of intersection boundary segments, the computation of contact features and parallelization, critical time step, and friction and damping treatment for multiple contacts are described in detail. Two sets of numerical examples involving various concave 3D shapes with a large number of surface triangles are presented to demonstrate either the superb energy‐conserving property of the proposed model model, or its effectiveness, robustness, and universal nature for wider and more complex problems.

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Section: Contact Volume Based Energy‐conserving Normal Contact Model mentioning

confidence: 99%

Section: Contact Volume Based Energy‐conserving Normal Contact Model mentioning

confidence: 99%

Section: Surface Triangulated Non‐spherical Particle Contact Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A generic energy‐conserving discrete element modeling strategy for concave particles represented by surface triangular meshes

Feng

2021

Numerical Meth Engineering

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“…As formally proved in [14], using the Minkowski contact features in (4) for convex particles ensures that elastic energy will be conserved in any contact scenarios for an elastic impact. This is another energyconserving normal contact model developed within the framework of the general contact theory established in [17], and is an alternative to the contact volume based contact models developed in [18] based on the same contact theory.…”

Section: Contact Force Modelsmentioning

confidence: 99%

Discrete Element Modelling of Dynamic Behaviour of Rockfills for Resisting High Speed Projectile Penetration

Zhao¹,

Feng²,

Zhang³

et al. 2021

Computer Modeling in Engineering &Amp; Sciences

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This paper presents a convex polyhedral based discrete element method for modelling the dynamic behaviour of rockfills for resisting high speed projectile penetration. The contact between two convex polyhedra is defined by the Minkowski overlap and determined by the GJK and EPA algorithm. The contact force is calculated by a Minkowski overlap based normal model. The rotational motion of polyhedral particles is solved by employing a quaternion based orientation representation scheme. The energy-conserving nature of the polyhedral DEM method ensures a robust and effective modelling of convex particle systems. The method is applied to simulate the dynamic behaviour of a rockfill system under impact of a high speed projectile. The rockfill sample is generated by a three-dimensional Voronoi meso method with a specific particle size distribution. The penetrating process of the projectile striking the rockfill target is simulated. Some physical quantities associated with the projectile such as the residual velocity, penetration resistance, and deflection angle are monitored which can reflect the influence of the characteristics of the rockfill target on its anti-penetration performance. It can be concluded that the developed polyhedral DEM method is a very promising numerical approach in analysing the dynamic behaviour of rockfill systems subject to high speed projectile impact. KEYWORDSDiscrete element method; minkowski overlap; polyhedral particles; rockfill protection system; high speed projectile penetration This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Machine‐learning‐enabled discrete element method: Contact detection and resolution of irregular‐shaped particles

Lai

Chen

Huang

2021

Num Anal Meth Geomechanics

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This paper presents a machine learning (ML)-enabled discrete element method (DEM) for the computational mechanics of irregular-shaped particles. MLenabled DEM, as with most conventional DEMs, encompasses four main steps in one typical calculation cycle, namely, (1) the detection and resolution of contacts, (2) the evaluation of contact behavior, (3) the calculation of particle motion, and (4) the updating of particle geometric descriptions. Unlike conventional DEMs, the proposed method constructs and employs neural networks to detect particle contacts and resolve contact geometric features. Neural networks take particle geometric descriptors as inputs and output the contact status and contact geometric features. Using two-dimensional elliptical particles as an example, the performance of the ML-enabled DEM is investigated through five numerical experiments and compared with analytical solutions or conventional DEM methods. A sixth numerical experiment involving irregular-shaped particles is also presented to showcase the potential and applicability of the proposed method for other particle shapes. ML-enabled DEM can accurately capture the trajectory and energy evolution of individual particles, the fabric characteristics of dense packing, and the mechanical behavior of packing under large loads, while demonstrating computational efficiency over conventional methods.

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An energy-conserving contact theory for discrete element modelling of arbitrarily shaped particles: Basic framework and general contact model

Cited by 30 publications

References 40 publications

A generic energy‐conserving discrete element modeling strategy for concave particles represented by surface triangular meshes

A generic energy‐conserving discrete element modeling strategy for concave particles represented by surface triangular meshes

Discrete Element Modelling of Dynamic Behaviour of Rockfills for Resisting High Speed Projectile Penetration

Machine‐learning‐enabled discrete element method: Contact detection and resolution of irregular‐shaped particles

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