A Study on Sandstone Damage Model Based on the Correlation Between Energy Dissipation and Plastic Strain

The process of rock damage and failure is accompanied by the dissipation of energy and an increase in plastic strain. This study attempts to determine the relationship between dissipated energy and plastic strain in sandstone during the damage and failure process. A conventional triaxial cyclic load...

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Main Authors: Tianbai Zhou, Xiaoyu Zhang, Yongbo Cai, Long Wang, Qixian Li
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/10/5270
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author Tianbai Zhou
Xiaoyu Zhang
Yongbo Cai
Long Wang
Qixian Li
author_facet Tianbai Zhou
Xiaoyu Zhang
Yongbo Cai
Long Wang
Qixian Li
author_sort Tianbai Zhou
collection DOAJ
description The process of rock damage and failure is accompanied by the dissipation of energy and an increase in plastic strain. This study attempts to determine the relationship between dissipated energy and plastic strain in sandstone during the damage and failure process. A conventional triaxial cyclic loading and unloading test was conducted on sandstone samples to analyze the energy evolution and plastic strain characteristics of rock during the mechanical performance degradation and deformation failure process. The analysis results indicate that the evolution law of rock energy dissipation and plastic growth during the whole stress–strain process is highly consistent. Before the peak stress, dissipated energy and plastic strain increased linearly with input energy and axial strain, respectively. In the residual stress stage, there is an approximate linear evolution relationship between dissipated energy and plastic strain. Based on the correlation characteristics of energy dissipation and plastic growth, a modified damage model was established by characterizing plastic deformation by damage. In addition, a numerical program was developed using the Finite Volume Method (FVM) based on the damage model. The rock damage model has been validated by experimental results and numerical test. The research findings may provide valuable insights into the correlation mechanism between energy dissipation and plastic growth.
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spelling doaj-art-14d2910b03cb4daebb41cf4d158d31f42025-08-20T02:33:43ZengMDPI AGApplied Sciences2076-34172025-05-011510527010.3390/app15105270A Study on Sandstone Damage Model Based on the Correlation Between Energy Dissipation and Plastic StrainTianbai Zhou0Xiaoyu Zhang1Yongbo Cai2Long Wang3Qixian Li4Emergency Science Research Academy, Chinese Institute of Coal Science, Beijing 100013, ChinaEmergency Science Research Academy, Chinese Institute of Coal Science, Beijing 100013, ChinaEmergency Science Research Academy, Chinese Institute of Coal Science, Beijing 100013, ChinaEmergency Science Research Academy, Chinese Institute of Coal Science, Beijing 100013, ChinaChina Coal Research Institute, Beijing 100013, ChinaThe process of rock damage and failure is accompanied by the dissipation of energy and an increase in plastic strain. This study attempts to determine the relationship between dissipated energy and plastic strain in sandstone during the damage and failure process. A conventional triaxial cyclic loading and unloading test was conducted on sandstone samples to analyze the energy evolution and plastic strain characteristics of rock during the mechanical performance degradation and deformation failure process. The analysis results indicate that the evolution law of rock energy dissipation and plastic growth during the whole stress–strain process is highly consistent. Before the peak stress, dissipated energy and plastic strain increased linearly with input energy and axial strain, respectively. In the residual stress stage, there is an approximate linear evolution relationship between dissipated energy and plastic strain. Based on the correlation characteristics of energy dissipation and plastic growth, a modified damage model was established by characterizing plastic deformation by damage. In addition, a numerical program was developed using the Finite Volume Method (FVM) based on the damage model. The rock damage model has been validated by experimental results and numerical test. The research findings may provide valuable insights into the correlation mechanism between energy dissipation and plastic growth.https://www.mdpi.com/2076-3417/15/10/5270energy dissipationplastic growthcyclic loading and unloadingcorrelation characteristicsFVM
spellingShingle Tianbai Zhou
Xiaoyu Zhang
Yongbo Cai
Long Wang
Qixian Li
A Study on Sandstone Damage Model Based on the Correlation Between Energy Dissipation and Plastic Strain
Applied Sciences
energy dissipation
plastic growth
cyclic loading and unloading
correlation characteristics
FVM
title A Study on Sandstone Damage Model Based on the Correlation Between Energy Dissipation and Plastic Strain
title_full A Study on Sandstone Damage Model Based on the Correlation Between Energy Dissipation and Plastic Strain
title_fullStr A Study on Sandstone Damage Model Based on the Correlation Between Energy Dissipation and Plastic Strain
title_full_unstemmed A Study on Sandstone Damage Model Based on the Correlation Between Energy Dissipation and Plastic Strain
title_short A Study on Sandstone Damage Model Based on the Correlation Between Energy Dissipation and Plastic Strain
title_sort study on sandstone damage model based on the correlation between energy dissipation and plastic strain
topic energy dissipation
plastic growth
cyclic loading and unloading
correlation characteristics
FVM
url https://www.mdpi.com/2076-3417/15/10/5270
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