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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2020-01-01
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Series: | Shock and Vibration |
Online Access: | http://dx.doi.org/10.1155/2020/8861971 |
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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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