Relationship between Fractal Dimension of Fragmentation Degree and Energy Dissipation of Rock-Like Materials under Initial Stress

In order to obtain the relationship between fractal dimension and energy dissipation of rock-like materials under initial stress state, a variable cross-section split Hopkinson pressure bar (SHPB) test system with active confining pressure loading device was used to carry out impact compression and...

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Main Authors: Ying Xu, Jinjin Ge, Hailong Li, Rongzhou Yang, Kun Wang, Shi Hu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2020/8861971
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spelling doaj-6843abd4b03645c9a2f7b1e5b4188fbd2020-12-14T09:46:33ZengHindawi LimitedShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/88619718861971Relationship between Fractal Dimension of Fragmentation Degree and Energy Dissipation of Rock-Like Materials under Initial StressYing Xu0Jinjin Ge1Hailong Li2Rongzhou Yang3Kun Wang4Shi Hu5School of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan 232001, Anhui, ChinaSchool of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan 232001, Anhui, ChinaSchool of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, Shandong, ChinaSchool of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan 232001, Anhui, ChinaSchool of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan 232001, Anhui, ChinaSchool of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan 232001, Anhui, ChinaIn order to obtain the relationship between fractal dimension and energy dissipation of rock-like materials under initial stress state, a variable cross-section split Hopkinson pressure bar (SHPB) test system with active confining pressure loading device was used to carry out impact compression and splitting tests on cemented sand specimens. The impact test results show that (1) the prediction value on the fragmentation degree of cemented sand specimens by using the fractal model is basically consistent with the screening results of actual test, which verifies the applicability of the fractal calculation model given in this study; (2) the more the fracture energy dissipated in the crushing process of cemented sand specimens, the more serious the fragmentation degree is, and accordingly the larger the fractal dimension is, that is, the fracture energy is positively correlated with the fractal dimension; (3) there is an exponential relationship between the fractal dimension and energy dissipation of cemented sand specimens under initial stress, which is so different from that under no initial stress. The experimental results in this study can be used to modify the fractal damage model for rock blasting considering the initial stress.http://dx.doi.org/10.1155/2020/8861971
collection DOAJ
language English
format Article
sources DOAJ
author Ying Xu
Jinjin Ge
Hailong Li
Rongzhou Yang
Kun Wang
Shi Hu
spellingShingle Ying Xu
Jinjin Ge
Hailong Li
Rongzhou Yang
Kun Wang
Shi Hu
Relationship between Fractal Dimension of Fragmentation Degree and Energy Dissipation of Rock-Like Materials under Initial Stress
Shock and Vibration
author_facet Ying Xu
Jinjin Ge
Hailong Li
Rongzhou Yang
Kun Wang
Shi Hu
author_sort Ying Xu
title Relationship between Fractal Dimension of Fragmentation Degree and Energy Dissipation of Rock-Like Materials under Initial Stress
title_short Relationship between Fractal Dimension of Fragmentation Degree and Energy Dissipation of Rock-Like Materials under Initial Stress
title_full Relationship between Fractal Dimension of Fragmentation Degree and Energy Dissipation of Rock-Like Materials under Initial Stress
title_fullStr Relationship between Fractal Dimension of Fragmentation Degree and Energy Dissipation of Rock-Like Materials under Initial Stress
title_full_unstemmed Relationship between Fractal Dimension of Fragmentation Degree and Energy Dissipation of Rock-Like Materials under Initial Stress
title_sort relationship between fractal dimension of fragmentation degree and energy dissipation of rock-like materials under initial stress
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2020-01-01
description In order to obtain the relationship between fractal dimension and energy dissipation of rock-like materials under initial stress state, a variable cross-section split Hopkinson pressure bar (SHPB) test system with active confining pressure loading device was used to carry out impact compression and splitting tests on cemented sand specimens. The impact test results show that (1) the prediction value on the fragmentation degree of cemented sand specimens by using the fractal model is basically consistent with the screening results of actual test, which verifies the applicability of the fractal calculation model given in this study; (2) the more the fracture energy dissipated in the crushing process of cemented sand specimens, the more serious the fragmentation degree is, and accordingly the larger the fractal dimension is, that is, the fracture energy is positively correlated with the fractal dimension; (3) there is an exponential relationship between the fractal dimension and energy dissipation of cemented sand specimens under initial stress, which is so different from that under no initial stress. The experimental results in this study can be used to modify the fractal damage model for rock blasting considering the initial stress.
url http://dx.doi.org/10.1155/2020/8861971
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