Contact forces of polyhedral particles in discrete element method

Nassauer, Benjamin; Kuna, Meinhard

doi:10.1007/s10035-013-0417-9

Cited by 45 publications

(17 citation statements)

References 14 publications

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“…(7), the normal contact force is related to the volume of the contact overlap, which is extended from the 2D case [10,11]. This contact law was verified by other investigators [25][26][27][28].…”

Section: Contact Force Lawmentioning

confidence: 73%

Discrete element simulations of direct shear tests with particle angularity effect

2015

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This paper investigated the effect of the particle angularity in light of its importance in angular particle assemblies, using the discrete element method (DEM). A discrete element model with a general contact force law for arbitrarily shaped particles was developed, in which angular particles were modeled using convex polyhedra. Quasi-spherical polyhedral shapes with different vertexes were adopted to reflect the change of angularity. Four categories of assemblies with different angularities were generated. A series of direct shear tests performed on these assemblies were simulated at different vertical stresses. All numerical implementations were achieved using a modified version of the open source DEM code YADE. It was found that the macroscopic shear strength and dilatancy characteristics are in agreement with experimental and numerical results in the literature, indicating that the present numerical model is reasonable. Besides, the evolutions of coordination number, normal contact force distribution, and anisotropies of particle orientation and contact normal were investigated. The results show that the angularity plays a vital role in strengthening the interlocking of angular particles.

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Section: Contact Force Lawmentioning

confidence: 73%

Discrete element simulations of direct shear tests with particle angularity effect

2015

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“…The wire sawing process is simulated by means of 3D discrete element method employing polyhedral particles. For details on DEM with this specific particle shape the reader is referred to [8] and [9]. The interaction between particles and fluid flow of the slurry is reported in [7] and [10].…”

Section: Numerical Modelmentioning

confidence: 99%

Impact of micromechanical parameters on wire sawing: a 3D discrete element analysis

Nassauer

Kuna

2015

Comp. Part. Mech.

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Wire sawing is one of the most prominent technologies for producing solar wafers. In the following paper a numerical model for the simulation of the wire sawing process at microlevel using the discrete element method is presented. The abrasive particles are represented by convex polyhedra. Based on the contact forces on the ingot, local material removal rates are calculated. These local material removal rates are then used to update the shape of the ingot in a stepwise simulation. The model allows for detailed analysis of the influence of different parameters on the micromechanical processes during wire sawing. In particular the influence of wire speed, lapping pressure, particle concentration, particle size, particle shape and debris on the sawing process is investigated. In a post-processing macroscopic process characteristics like kerf width, depth of surface cracks or sawing rate are calculated. Thus, the processes at the microlevel are related to the macroscopic process characteristics, which are of interest when applying wire sawing in practice.

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“…In recent years, some improvements have been made to make DEM more accordant with practical circumstances and provide more efficient models of contact interaction 18,[39][40][41][42][43][44] and contact detection algorithm. [45][46][47][48][49][50][51] Among them, the combined finite DEM (FDEM) draws the most attention since it was introduced by Munjiza et al 52 In FDEM, the medium is discretized into a large number of triangular elements with a similar size.…”

Section: Introductionmentioning

confidence: 99%

A novel discrete element method based on the distance potential for arbitrary 2D convex elements

Zhao

Liu

Jia

et al. 2018

Numerical Meth Engineering

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Summary A new 2‐dimensional discrete element method, which is able to simulate a system involving a large number of arbitrary convex elements, is proposed. In this approach, a novel distance potential function is defined using a normalized format of the penetrated distance between contact couples, while a holonomic and precise algorithm for contact interaction is established, accounting for the influence of the tangential contact force. Furthermore, the new contact detection algorithm is well suited for nonuniform blocks unlike the common no binary search method that requires uniform elements. The proposed method retains the merit of the combined finite‐discrete element method and avoids its deficiencies. Compared with the existing finite‐discrete element method, the distance potential function has a clear physical meaning, where the calculation of contact interaction avoids the influence of the element shape. Accordingly, the new method completely gets rid of the restraint of uniform element type and can be applied to arbitrary convex elements. The new method is validated with well‐known benchmark examples, and the results are in very good agreement with existing experimental measurement and analytical solutions. Finally, the proposed method is applied to simulate the Tangjiashan landslide.

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Contact forces of polyhedral particles in discrete element method

Cited by 45 publications

References 14 publications

Discrete element simulations of direct shear tests with particle angularity effect

Discrete element simulations of direct shear tests with particle angularity effect

Impact of micromechanical parameters on wire sawing: a 3D discrete element analysis

A novel discrete element method based on the distance potential for arbitrary 2D convex elements

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