Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions

To study the effects of rock models with different fractal dimensions on their mechanical properties and fracture behavior, three representative numerical rock models, including the digital texture model, the Voronoi polygon model, and the Weibull distribution model, are established in this paper. T...

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Main Authors: Run Shi, Huaiguang Xiao
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/9/1/13
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author Run Shi
Huaiguang Xiao
author_facet Run Shi
Huaiguang Xiao
author_sort Run Shi
collection DOAJ
description To study the effects of rock models with different fractal dimensions on their mechanical properties and fracture behavior, three representative numerical rock models, including the digital texture model, the Voronoi polygon model, and the Weibull distribution model, are established in this paper. These models are used to simulate the structure of multi-mineral rocks and to investigate the influence of fractal dimensions on the mechanical properties and fracture behavior of rocks. Uniaxial compression numerical tests are carried out on 2D and 3D intact rocks under different fractal dimensions using the particle flow simulation method. The relationship between fractal dimensions and uniaxial compression strength and fracture behavior was analyzed. The results show that the fractal dimension of the Weibull distribution model is the largest, followed by the digital texture model, and the fractal dimension of the Voronoi polygon model is the smallest. With the increase in fractal dimension, the uniaxial compressive strength of intact rocks increases significantly, and their relationship is approximately linear. The influence of fractal dimension on rock strength shows a similar trend in both the 2D and 3D models. This study provides a new perspective for the application of fractal dimensions in multi-mineral rock models.
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series Fractal and Fractional
spelling doaj-art-4cde6188496548b9a6d5393f80dc1cb62025-01-24T13:33:22ZengMDPI AGFractal and Fractional2504-31102024-12-01911310.3390/fractalfract9010013Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal DimensionsRun Shi0Huaiguang Xiao1Department of Civil Engineering, Monash University, Clayton, VIC 3800, AustraliaSchool of Civil Engineering, Southeast University, Nanjing 211189, ChinaTo study the effects of rock models with different fractal dimensions on their mechanical properties and fracture behavior, three representative numerical rock models, including the digital texture model, the Voronoi polygon model, and the Weibull distribution model, are established in this paper. These models are used to simulate the structure of multi-mineral rocks and to investigate the influence of fractal dimensions on the mechanical properties and fracture behavior of rocks. Uniaxial compression numerical tests are carried out on 2D and 3D intact rocks under different fractal dimensions using the particle flow simulation method. The relationship between fractal dimensions and uniaxial compression strength and fracture behavior was analyzed. The results show that the fractal dimension of the Weibull distribution model is the largest, followed by the digital texture model, and the fractal dimension of the Voronoi polygon model is the smallest. With the increase in fractal dimension, the uniaxial compressive strength of intact rocks increases significantly, and their relationship is approximately linear. The influence of fractal dimension on rock strength shows a similar trend in both the 2D and 3D models. This study provides a new perspective for the application of fractal dimensions in multi-mineral rock models.https://www.mdpi.com/2504-3110/9/1/13fractal dimensionrockfailure modegrain-based modelPFC
spellingShingle Run Shi
Huaiguang Xiao
Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions
Fractal and Fractional
fractal dimension
rock
failure mode
grain-based model
PFC
title Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions
title_full Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions
title_fullStr Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions
title_full_unstemmed Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions
title_short Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions
title_sort particle flow simulation of the mechanical properties and fracture behavior of multi mineral rock models with different fractal dimensions
topic fractal dimension
rock
failure mode
grain-based model
PFC
url https://www.mdpi.com/2504-3110/9/1/13
work_keys_str_mv AT runshi particleflowsimulationofthemechanicalpropertiesandfracturebehaviorofmultimineralrockmodelswithdifferentfractaldimensions
AT huaiguangxiao particleflowsimulationofthemechanicalpropertiesandfracturebehaviorofmultimineralrockmodelswithdifferentfractaldimensions