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Modeling rock fracture in large particle comminution systems
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Solid Mechanics.ORCID iD: 0000-0002-4099-253X
Fraunhofer-Chalmers Centre. (Industrial Mathematics)
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Solid Mechanics.ORCID iD: 0000-0001-7674-8582
IPS Particle Technology AB.
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(English)Manuscript (preprint) (Other academic)
Abstract [en]

The growing global demand for minerals and metals, coupled with the need for improved energy and water efficiency in resource extraction, has led to the use of numerical modeling, particularly the discrete element method (DEM), to evaluate and optimize comminution processes that account for a significant portion of the energy consumption in mineral and metal extraction. Despite advancements, a significant challenge remains in balancing the local resolution of fractures at the rock particle level, where physics-based material models using the finite element method (FEM) have excelled, with the resolution of industrial-scale total particle interactions within the machine system. This work explores the high-resolution fracture of rock particles using the KST-DFH material model implemented within FEM as a valuable reference for fractures with a balanced mid-level resolution achieved through a bonded discrete element method applicable to industrial-scale systems. Brazilian tests were performed on granite and limestone to calibrate the models. Single particle breakage (SPB) experiments employing digital image correlation (DIC) were conducted to evaluate the performance of the models. Finally, the DEM model was demonstrated in an industrial-scale cone crusher application. The results show good agreement for the highly resolved FEM approach (requiring only two parameters in the KST-DFH model to be determined, which is particularly advantageous for generating virtual particle breakage data across various rock materials, shapes, and sizes) and reasonable agreement for the DEM fracture response, which is attributed to the much coarser mesh used that does not capture the crumbling mechanism (as revealed by the comparison between the two numerical approaches). Despite these discrepancies, the cone crusher predictions fall within the expected ranges for the system response at the machine level.

Keywords [en]
DEM, Bonded particle model, FEM, Quasi-brittle fracture, Crushing, Comminution
National Category
Mineral and Mine Engineering
Research subject
Solid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-110910OAI: oai:DiVA.org:ltu-110910DiVA, id: diva2:1917184
Projects
Optimization of Crushing in Comminution of Mining Materials - OptiCrush
Funder
ÅForsk (Ångpanneföreningen's Foundation for Research and Development), 23-449Available from: 2024-12-01 Created: 2024-12-01 Last updated: 2025-10-21
In thesis
1. Mechanical Characterization and Modeling of Heterogeneous Brittle Materials in Comminution Processes
Open this publication in new window or tab >>Mechanical Characterization and Modeling of Heterogeneous Brittle Materials in Comminution Processes
2025 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The steel industry has been an asset in society’s development; therefore, the worldwide production of crude steel has shown a growing trend. Following the sustainability principles reflected by the World Steel Association, incorporating pyrometallurgical by-products into a circular economy framework is of great interest to maximize the efficient use of resources throughout the life cycle of steel products and to help reduce CO2 emissions. Thus, research to optimize the supply chain of raw materials has increased, and there is a need to address the energy consumption of the highly demanding mechanical processes related to it, such as crushing.  

This PhD research focuses on the development of a framework that facilitates the optimization of comminution processes for secondary raw materials and enhances the value of material data for modeling breakage processes in the upscaling and evaluation of crushing at an industrial scale.  This investigation was divided into two primary components. First, an experimental framework was developed and implemented to characterize the tensile and compressive responses of electric arc furnace (EAF) manganese slag under both quasi-static and dynamic conditions. In the first study, manganese slag, a highly heterogeneous material, was examined, providing insights into the methodologies and challenges associated with sample manufacturing, quasi-static testing using simple loading schemes, and processing of mechanical and optical data. In the second study, the macro-response of slag under dynamic conditions was investigated, providing pertinent information regarding processing and crushing in relation to rate-dependent behavior, as well as energy expenditure during the fragmentation processes. The second part of this research focused on evaluating a numerical framework to upscale the fracture processes in crushing applications. Simulations of the fracture process of quasi-brittle materials employing finite element methods (FEM) were implemented and evaluated for mineral and secondary raw materials, enhancing the knowledge regarding the calibration of material models to simulate complex geometries with a high level of detail in the crack patterns and the accuracy of the failure loads. Finally, a fourth research article demonstrated the viability of employing an established material model to simulate slag from a macroscopic perspective. 

Place, publisher, year, edition, pages
Luleå: Luleå University of Technology, 2025. p. 45
Series
Doctoral thesis / Luleå University of Technology 1 jan 1997 → …, ISSN 1402-1544
Keywords
Slag, SHPB, Brazilian disc, Fracture, Crushing, Heterogeneous
National Category
Metallurgy and Metallic Materials Other Materials Engineering Mineral and Mine Engineering
Research subject
Solid Mechanics
Identifiers
urn:nbn:se:ltu:diva-110913 (URN)978-91-8048-708-5 (ISBN)978-91-8048-709-2 (ISBN)
Public defence
2025-02-19, E632, Luleå University of Technology, Luleå, 09:00 (English)
Opponent
Supervisors
Available from: 2024-12-02 Created: 2024-12-01 Last updated: 2025-10-21Bibliographically approved

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Suarez, LauraOlsson, ErikKajberg, Jörgen

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