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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Format: | Article |
Language: | English |
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Wiley
2019-01-01
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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. |
format | Article |
id | doaj-art-cc480609b2ee42fb93bcf7815c0bd138 |
institution | Kabale University |
issn | 1687-8434 1687-8442 |
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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