Research on Characteristic Stress and Constitutive Equation of Confined Sandstone during Damage Evolution Based on Energy Evolution Analysis

This study implements the cyclic loading-unloading triaxial compression tests with confining pressures of 5, 10, 20, and 30 MPa for determining the characteristic stress and constitutive equation of sandstone during damage evolution. The energy evolution characteristics and transformations are analy...

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Main Authors: Xiaobin Yang, Hongming Cheng, Xin Hou, Chaogang Nie, Jiaqi Lv
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2019/4145981
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author Xiaobin Yang
Hongming Cheng
Xin Hou
Chaogang Nie
Jiaqi Lv
author_facet Xiaobin Yang
Hongming Cheng
Xin Hou
Chaogang Nie
Jiaqi Lv
author_sort Xiaobin Yang
collection DOAJ
description This study implements the cyclic loading-unloading triaxial compression tests with confining pressures of 5, 10, 20, and 30 MPa for determining the characteristic stress and constitutive equation of sandstone during damage evolution. The energy evolution characteristics and transformations are analyzed, the energy proportion evolution law is defined and analyzed, and its process is divided into five stages according to the whole stress-strain curve. Then, the dissipation energy proportion method for determining the characteristic stress is proposed and compared with the lateral strain method and the volumetric strain method, and the differences of characteristic stress determined by the three methods are within the acceptable error range, i.e., the proportion of crack initiation stress and crack damage stress to peak stress are all about 40% and 70%, respectively, and least affected by the confining pressures. The new method has strong maneuverability, clearer response to the damage evolution, better coordination with the damage evolution, and less subjective initiative. In addition, the dissipation energy proportion behavior is captured by fitting function and established a relationship with elastic modulus of sandstone, and then the damage evolution constitutive equation of sandstone is established based on energy proportion. Finally, the theoretical curve and experimental curve of damage evolution are compared according to the five stages of dissipation energy proportion evolution, and the result shows that the damage evolution constitutive equation is reasonable.
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id doaj-art-cc480609b2ee42fb93bcf7815c0bd138
institution Kabale University
issn 1687-8434
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language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Advances in Materials Science and Engineering
spelling doaj-art-cc480609b2ee42fb93bcf7815c0bd1382025-02-03T01:10:22ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422019-01-01201910.1155/2019/41459814145981Research on Characteristic Stress and Constitutive Equation of Confined Sandstone during Damage Evolution Based on Energy Evolution AnalysisXiaobin Yang0Hongming Cheng1Xin Hou2Chaogang Nie3Jiaqi Lv4School of Emergency Management and Safety Engineering, China University of Mining and Technology, Beijing 100083, ChinaSchool of Emergency Management and Safety Engineering, China University of Mining and Technology, Beijing 100083, ChinaSchool of Emergency Management and Safety Engineering, China University of Mining and Technology, Beijing 100083, ChinaSchool of Emergency Management and Safety Engineering, China University of Mining and Technology, Beijing 100083, ChinaSchool of Emergency Management and Safety Engineering, China University of Mining and Technology, Beijing 100083, ChinaThis study implements the cyclic loading-unloading triaxial compression tests with confining pressures of 5, 10, 20, and 30 MPa for determining the characteristic stress and constitutive equation of sandstone during damage evolution. The energy evolution characteristics and transformations are analyzed, the energy proportion evolution law is defined and analyzed, and its process is divided into five stages according to the whole stress-strain curve. Then, the dissipation energy proportion method for determining the characteristic stress is proposed and compared with the lateral strain method and the volumetric strain method, and the differences of characteristic stress determined by the three methods are within the acceptable error range, i.e., the proportion of crack initiation stress and crack damage stress to peak stress are all about 40% and 70%, respectively, and least affected by the confining pressures. The new method has strong maneuverability, clearer response to the damage evolution, better coordination with the damage evolution, and less subjective initiative. In addition, the dissipation energy proportion behavior is captured by fitting function and established a relationship with elastic modulus of sandstone, and then the damage evolution constitutive equation of sandstone is established based on energy proportion. Finally, the theoretical curve and experimental curve of damage evolution are compared according to the five stages of dissipation energy proportion evolution, and the result shows that the damage evolution constitutive equation is reasonable.http://dx.doi.org/10.1155/2019/4145981
spellingShingle Xiaobin Yang
Hongming Cheng
Xin Hou
Chaogang Nie
Jiaqi Lv
Research on Characteristic Stress and Constitutive Equation of Confined Sandstone during Damage Evolution Based on Energy Evolution Analysis
Advances in Materials Science and Engineering
title Research on Characteristic Stress and Constitutive Equation of Confined Sandstone during Damage Evolution Based on Energy Evolution Analysis
title_full Research on Characteristic Stress and Constitutive Equation of Confined Sandstone during Damage Evolution Based on Energy Evolution Analysis
title_fullStr Research on Characteristic Stress and Constitutive Equation of Confined Sandstone during Damage Evolution Based on Energy Evolution Analysis
title_full_unstemmed Research on Characteristic Stress and Constitutive Equation of Confined Sandstone during Damage Evolution Based on Energy Evolution Analysis
title_short Research on Characteristic Stress and Constitutive Equation of Confined Sandstone during Damage Evolution Based on Energy Evolution Analysis
title_sort research on characteristic stress and constitutive equation of confined sandstone during damage evolution based on energy evolution analysis
url http://dx.doi.org/10.1155/2019/4145981
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AT xinhou researchoncharacteristicstressandconstitutiveequationofconfinedsandstoneduringdamageevolutionbasedonenergyevolutionanalysis
AT chaogangnie researchoncharacteristicstressandconstitutiveequationofconfinedsandstoneduringdamageevolutionbasedonenergyevolutionanalysis
AT jiaqilv researchoncharacteristicstressandconstitutiveequationofconfinedsandstoneduringdamageevolutionbasedonenergyevolutionanalysis