Constitutive Model of Rock Uniaxial Damage Based on Rock Strength Statistics

Based on the assumption that rock strength follows the log normal distribution statistically, this paper establishes a damage constitutive model of rock under uniaxial stress conditions in combination with the Mohr–Coulomb strength criterion and damage mechanical theory. Experiments were carried out...

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Main Authors: Ming Ji, Kai Chen, Hong Jun Guo
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2018/5047834
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author Ming Ji
Kai Chen
Hong Jun Guo
author_facet Ming Ji
Kai Chen
Hong Jun Guo
author_sort Ming Ji
collection DOAJ
description Based on the assumption that rock strength follows the log normal distribution statistically, this paper establishes a damage constitutive model of rock under uniaxial stress conditions in combination with the Mohr–Coulomb strength criterion and damage mechanical theory. Experiments were carried out to investigate the damage evolution process of rock material, which can be categorized into nondamaging, accelerated growth, constant-speed, similar growth, and speed-reducing growth stages. The evolution process had a good corresponding relationship with the rock stress-strain curves. Based on the statistical damage constitutive model proposed in this paper, a numerical fitting analysis was conducted on the uniaxial compression testing data of laboratory sand rock and on experimental data from other literature, in order to validate the rationality of the constitutive equation and the determination of its parameters and to analyze the effect of internal friction variables on damage variables and compression strength. The research outcomes presented in this paper can provide useful reference for the theory of rock mechanics and for rock engineering.
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institution Kabale University
issn 1687-8086
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Advances in Civil Engineering
spelling doaj-art-aa76f4a59ab24b18a34dc931fb9f38d32025-02-03T01:26:15ZengWileyAdvances in Civil Engineering1687-80861687-80942018-01-01201810.1155/2018/50478345047834Constitutive Model of Rock Uniaxial Damage Based on Rock Strength StatisticsMing Ji0Kai Chen1Hong Jun Guo2Key Laboratory of Deep Coal Resource Mining, Ministry of Education of China, School of Mines, China University of Mining & Technology, Xuzhou 221116, ChinaKey Laboratory of Deep Coal Resource Mining, Ministry of Education of China, School of Mines, China University of Mining & Technology, Xuzhou 221116, ChinaKey Laboratory of Deep Coal Resource Mining, Ministry of Education of China, School of Mines, China University of Mining & Technology, Xuzhou 221116, ChinaBased on the assumption that rock strength follows the log normal distribution statistically, this paper establishes a damage constitutive model of rock under uniaxial stress conditions in combination with the Mohr–Coulomb strength criterion and damage mechanical theory. Experiments were carried out to investigate the damage evolution process of rock material, which can be categorized into nondamaging, accelerated growth, constant-speed, similar growth, and speed-reducing growth stages. The evolution process had a good corresponding relationship with the rock stress-strain curves. Based on the statistical damage constitutive model proposed in this paper, a numerical fitting analysis was conducted on the uniaxial compression testing data of laboratory sand rock and on experimental data from other literature, in order to validate the rationality of the constitutive equation and the determination of its parameters and to analyze the effect of internal friction variables on damage variables and compression strength. The research outcomes presented in this paper can provide useful reference for the theory of rock mechanics and for rock engineering.http://dx.doi.org/10.1155/2018/5047834
spellingShingle Ming Ji
Kai Chen
Hong Jun Guo
Constitutive Model of Rock Uniaxial Damage Based on Rock Strength Statistics
Advances in Civil Engineering
title Constitutive Model of Rock Uniaxial Damage Based on Rock Strength Statistics
title_full Constitutive Model of Rock Uniaxial Damage Based on Rock Strength Statistics
title_fullStr Constitutive Model of Rock Uniaxial Damage Based on Rock Strength Statistics
title_full_unstemmed Constitutive Model of Rock Uniaxial Damage Based on Rock Strength Statistics
title_short Constitutive Model of Rock Uniaxial Damage Based on Rock Strength Statistics
title_sort constitutive model of rock uniaxial damage based on rock strength statistics
url http://dx.doi.org/10.1155/2018/5047834
work_keys_str_mv AT mingji constitutivemodelofrockuniaxialdamagebasedonrockstrengthstatistics
AT kaichen constitutivemodelofrockuniaxialdamagebasedonrockstrengthstatistics
AT hongjunguo constitutivemodelofrockuniaxialdamagebasedonrockstrengthstatistics