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Comparative study of different discrete element models and evaluation of equivalent micromechanical parameters

Title: Comparative study of different discrete element models and evaluation of equivalent micromechanical parameters
Authors: Rojek, Jerzy; Labra, C.; Su, O.; Oñate Ibáñez de Navarra, Eugenio
Publisher Information: Elsevier BV
Publication Year: 2025
Subject Terms: Strength parameters; 0211 other engineering and technologies; Harmonic mean; Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC]; 02 engineering and technology; Contact pair; Failure patterns; Discrete element method; Contact stiffness; 0203 mechanical engineering; Geometric parameter; Linear elastic; Contact; Geometric measures; Particle pair; Discrete element models; Applied Mathematics; Discrete elements; Compression; Brittle failures; Particle assemblies; Condensed Matter Physics; Macroscopic response; Engineering; Mechanical; Mechanics of Materials; Particle radii; Local parameters; Brittle; Spherical particle
Description: Comparative studies of different discrete element models of a rock-type material are presented. The discrete element formulation employs spherical particles with the cohesive interaction model combining linear elastic behaviour with brittle failure. Numerical studies consisted in simulation of the uniaxial compression test. Two cylindrical specimens with particle size distributions yielding different degree of heterogeneity have been used. Macroscopic response produced by different discrete element models has been compared. The main difference between the compared models consists in the evaluation of micromechanical constitutive parameters. Two approaches are compared. In the first approach, the contact stiffness and strength parameters depend on the local particle size, while in the second approach, global uniform contact parameters are assumed for all the contacting pairs in function of average geometric measures characterizing the particle assembly. The size dependent contact parameters are calculated as functions of geometric parameters characterizing each contacting particle pair. As geometric scaling parameters, the arithmetic and harmonic means, as well as the minimum of the radii of two contacting particles are considered. Two different models with size dependent contact parameters are formulated. The performance of these models is compared with that of the discrete element model with global uniform contact parameters. Equivalence between the models with size dependent and uniform contact parameters has been checked. In search of this equivalence, different methods of evaluation of global uniform parameters have been studied. The contact stiffness has been evaluated in terms of the average radius of the particle assembly or in terms of the averages of the arithmetic and harmonic means of the contact pair radii, the geometric parameters used in the evaluation of the contact stiffness in the size-dependent models. The uniform contact strengths have been determined as functions of the averages of radii ...
Document Type: article in journal/newspaper
Language: unknown
Relation: International Journal of Solids and Structures; https://hdl.handle.net/20.500.12628/21947; 000304744400007; 1497; 1517; 49
DOI: 10.1016/j.ijsolstr.2012.02.032
Availability: https://hdl.handle.net/20.500.12628/21947; https://doi.org/10.1016/j.ijsolstr.2012.02.032
Rights: OPEN
Accession Number: edsbas.EAD6BBC2
Database: BASE