Discrete Element Modeling of Crack Initiation Stress of Marble Based on Griffith’s Strength Theory

Investigating the crack initiation stress of rocks is vital for understanding the gradual damage process of rocks and the evolution law of internal cracks. In this paper, the particle flow code method is used to conduct biaxial compression tests on a marble model with an elliptical crack under diffe...

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Main Authors: Suifeng Wang, Fei Tan, Minglong You, Yu-Yong Jiao, Fubin Tu
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2020/8876661
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author Suifeng Wang
Fei Tan
Minglong You
Yu-Yong Jiao
Fubin Tu
author_facet Suifeng Wang
Fei Tan
Minglong You
Yu-Yong Jiao
Fubin Tu
author_sort Suifeng Wang
collection DOAJ
description Investigating the crack initiation stress of rocks is vital for understanding the gradual damage process of rocks and the evolution law of internal cracks. In this paper, the particle flow code method is used to conduct biaxial compression tests on a marble model with an elliptical crack under different confining pressures. According to the evolution status of microcracks in the rock during compression, four characteristic stresses are defined to reflect the gradual damage process of the marble. Two different methods are used to obtain crack initiation stress of rocks, and the calculation results are compared with those based on Griffith’s strength theory to verify the accuracy of this theory under compressive stress. Based on the numerical simulation results, the evolution law for the strength parameters of marble with the degree of damage is described. According to the proportional relationship between the peak stress and crack initiation stress, a new method for predicting the initiation stress is proposed, whose effectiveness is verified. Overall, the results of this study can serve as a useful guide for solving the important problems of slab cracking and rockburst encountered in underground space engineering.
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id doaj-art-dd56951316fa49289da60106e788229e
institution Kabale University
issn 1687-8086
1687-8094
language English
publishDate 2020-01-01
publisher Wiley
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series Advances in Civil Engineering
spelling doaj-art-dd56951316fa49289da60106e788229e2025-02-03T01:04:29ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/88766618876661Discrete Element Modeling of Crack Initiation Stress of Marble Based on Griffith’s Strength TheorySuifeng Wang0Fei Tan1Minglong You2Yu-Yong Jiao3Fubin Tu4Faculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaInvestigating the crack initiation stress of rocks is vital for understanding the gradual damage process of rocks and the evolution law of internal cracks. In this paper, the particle flow code method is used to conduct biaxial compression tests on a marble model with an elliptical crack under different confining pressures. According to the evolution status of microcracks in the rock during compression, four characteristic stresses are defined to reflect the gradual damage process of the marble. Two different methods are used to obtain crack initiation stress of rocks, and the calculation results are compared with those based on Griffith’s strength theory to verify the accuracy of this theory under compressive stress. Based on the numerical simulation results, the evolution law for the strength parameters of marble with the degree of damage is described. According to the proportional relationship between the peak stress and crack initiation stress, a new method for predicting the initiation stress is proposed, whose effectiveness is verified. Overall, the results of this study can serve as a useful guide for solving the important problems of slab cracking and rockburst encountered in underground space engineering.http://dx.doi.org/10.1155/2020/8876661
spellingShingle Suifeng Wang
Fei Tan
Minglong You
Yu-Yong Jiao
Fubin Tu
Discrete Element Modeling of Crack Initiation Stress of Marble Based on Griffith’s Strength Theory
Advances in Civil Engineering
title Discrete Element Modeling of Crack Initiation Stress of Marble Based on Griffith’s Strength Theory
title_full Discrete Element Modeling of Crack Initiation Stress of Marble Based on Griffith’s Strength Theory
title_fullStr Discrete Element Modeling of Crack Initiation Stress of Marble Based on Griffith’s Strength Theory
title_full_unstemmed Discrete Element Modeling of Crack Initiation Stress of Marble Based on Griffith’s Strength Theory
title_short Discrete Element Modeling of Crack Initiation Stress of Marble Based on Griffith’s Strength Theory
title_sort discrete element modeling of crack initiation stress of marble based on griffith s strength theory
url http://dx.doi.org/10.1155/2020/8876661
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