Contact Modeling in the Discrete Element Method

Rojek, Jerzy

doi:10.1007/978-3-319-90155-8_4

Cited by 5 publications

(4 citation statements)

References 49 publications

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“…We also assumed that there was no chemical reaction during the condensation and self‐organization, and thus adopted the linear (Hookean) contact model for simulation. [ 30 ] The overlap between particles is allowed and the bonding forces are expressed as a potential function of the overlap V ij = k n [δ ij ] 2 /2 ( k n is the normal spring stiffness). [ 31 ] The simulation was performed in the canonical NVT ensemble (that is, the number N , the volume V , and the temperature T remain constant) with the target temperature of 2000 K (close to the melting point of titanium) at the bottom of the orthorhombic simulation cell, using the large‐scale atomic/molecular massively parallel simulator (LAMMPS) package.…”

Section: Resultsmentioning

confidence: 99%

Laser‐Induced Transient Self‐Organization of TiN _x Nano‐Filament Percolated Networks for High Performance Surface‐Mountable Filter Capacitors

et al. 2023

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Section: Resultsmentioning

confidence: 99%

Laser‐Induced Transient Self‐Organization of TiN _x Nano‐Filament Percolated Networks for High Performance Surface‐Mountable Filter Capacitors

et al. 2023

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“…This study does not go into great depth on the various contact models and their related equations. Rojek [27] and Thakur [28] summarize the many contact models that are used in discrete particle simulations. In their works, O'Sullivan [29] and Thornton [30] go into deep details on contact models.…”

Section: Dem's Theoretical Backgroundmentioning

confidence: 99%

Modeling of High-Density Compaction of Pharmaceutical Tablets Using Multi-Contact Discrete Element Method

et al. 2021

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The purpose of this work is to simulate the powder compaction of pharmaceutical materials at the microscopic scale in order to better understand the interplay of mechanical forces between particles, and to predict their compression profiles by controlling the microstructure. For this task, the new framework of multi-contact discrete element method (MC-DEM) was applied. In contrast to the conventional discrete element method (DEM), MC-DEM interactions between multiple contacts on the same particle are now explicitly taken into account. A new adhesive elastic-plastic multi-contact model invoking neighboring contact interaction was introduced and implemented. The uniaxial compaction of two microcrystalline cellulose grades (Avicel® PH 200 (FMC BioPolymer, Philadelphia, PA, USA) and Pharmacel® 102 (DFE Pharma, Nörten-Hardenberg, Germany) subjected to high confining conditions was studied. The objectives of these simulations were: (1) to investigate the micromechanical behavior; (2) to predict the macroscopic behavior; and (3) to develop a methodology for the calibration of the model parameters needed for the MC-DEM simulations. A two-stage calibration strategy was followed: first, the model parameters were directly measured at the micro-scale (particle level) and second, a meso-scale calibration was established between MC-DEM parameters and compression profiles of the pharmaceutical powders. The new MC-DEM framework could capture the main compressibility characteristics of pharmaceutical materials and could successfully provide predictions on compression profiles at high relative densities.

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“…To solve (1), we use explicit time integration scheme described in Rojek [12]. We use the acceleration of the elements from the previous time step to calculate the internal contact and damping forces, which allows us to calculate the acceleration in the current time step,…”

Section: Equation Of Motionmentioning

confidence: 99%

“…For each type of mesh, using the least squares method, we obtain the coefficients for (12) To prove theory from F. Camborde mentioned at beginning of this section, we going to analyse fixed beam using mesh type 2 with approximated λ as 0.715, see Tab.2. Results going to be compared with FEM solution by software ANSYS [19].…”

Section: Calibration Of λ Coefficientmentioning

confidence: 99%

Calibration of beam bound model for the discrete element method

Varga,

Cermak

Proceedings of the Seventeenth International Conference On Civil, Structural and Environmental Engineering Computing

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The discrete element method (DEM) is a numerical method based on the motion and contacts of individual elements. It is mainly used in particle mechanics, because its possibilities of use for continuous problems are overshadowed by other methods, such as the finite element method (FEM). However, its application can be found, for example, in the problem of the size and propagation of cracks in concrete and reinforced concrete structures. These problems combine problems of continuous and particulate behavior, which causes problems in the calculations and optimization of commonly used FEM due to frequent changes in the mesh or the need for parameters that are difficult to detect in common practice. By using DEM, these problems are eliminated, but there is a need to properly define the properties of the solid bonded contacts, which are not found in the conventional DEM. This can be achieved using a variety of methods, this paper is focused on method that insert beams element between each particles called beam bound model (BBM).

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Contact Modeling in the Discrete Element Method

Cited by 5 publications

References 49 publications

Laser‐Induced Transient Self‐Organization of TiN _x Nano‐Filament Percolated Networks for High Performance Surface‐Mountable Filter Capacitors

Laser‐Induced Transient Self‐Organization of TiN _x Nano‐Filament Percolated Networks for High Performance Surface‐Mountable Filter Capacitors

Modeling of High-Density Compaction of Pharmaceutical Tablets Using Multi-Contact Discrete Element Method

Calibration of beam bound model for the discrete element method

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Contact Modeling in the Discrete Element Method

Cited by 5 publications

References 49 publications

Laser‐Induced Transient Self‐Organization of TiN x Nano‐Filament Percolated Networks for High Performance Surface‐Mountable Filter Capacitors

Laser‐Induced Transient Self‐Organization of TiN x Nano‐Filament Percolated Networks for High Performance Surface‐Mountable Filter Capacitors

Modeling of High-Density Compaction of Pharmaceutical Tablets Using Multi-Contact Discrete Element Method

Calibration of beam bound model for the discrete element method

Contact Info

Product

Resources

About

Laser‐Induced Transient Self‐Organization of TiN _x Nano‐Filament Percolated Networks for High Performance Surface‐Mountable Filter Capacitors

Laser‐Induced Transient Self‐Organization of TiN _x Nano‐Filament Percolated Networks for High Performance Surface‐Mountable Filter Capacitors