A logistic-based constitutive model for rocks under uniaxial compression considering the initial damage recovery characteristics

The damage process is categorized into two phases from the perspective of crack evolution, damage recovery induced by the closure of primary cracks and damage growth induced by the propagation of new cracks, to establish a damage evolution equation and constitutive relationship that accounts for the...

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Main Authors: Yunpeng Guo, Dongqiao Liu, Jieyu Li, Jian Liu, Xiao Tong
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2025-10-01
Series:Rock Mechanics Bulletin
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2773230425000435
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author Yunpeng Guo
Dongqiao Liu
Jieyu Li
Jian Liu
Xiao Tong
author_facet Yunpeng Guo
Dongqiao Liu
Jieyu Li
Jian Liu
Xiao Tong
author_sort Yunpeng Guo
collection DOAJ
description The damage process is categorized into two phases from the perspective of crack evolution, damage recovery induced by the closure of primary cracks and damage growth induced by the propagation of new cracks, to establish a damage evolution equation and constitutive relationship that accounts for the initial damage recovery characteristics of rocks. The damage recovery and growth variables are determined through coordinate transformation and the deformation modulus attenuation method, using the damage stress threshold as the critical point. The corresponding theoretical damage evolution equation is developed using the logistic model. In addition, based on the strain equivalence hypothesis, a comprehensive damage evolution equation and constitutive model incorporating the rock's initial compaction process are developed. Finally, the validity of the proposed model is confirmed using uniaxial compression data from gabbro, granite, red sandstone, and yellow sandstone. The results show that the model curve closely aligns with the experimental data.
format Article
id doaj-art-274d15f55eab4adcbc5fbfeb312e8cb2
institution Kabale University
issn 2773-2304
language English
publishDate 2025-10-01
publisher KeAi Communications Co., Ltd.
record_format Article
series Rock Mechanics Bulletin
spelling doaj-art-274d15f55eab4adcbc5fbfeb312e8cb22025-08-22T04:59:03ZengKeAi Communications Co., Ltd.Rock Mechanics Bulletin2773-23042025-10-014410021610.1016/j.rockmb.2025.100216A logistic-based constitutive model for rocks under uniaxial compression considering the initial damage recovery characteristicsYunpeng Guo0Dongqiao Liu1Jieyu Li2Jian Liu3Xiao Tong4State Key Laboratory for Tunnel Engineering, China University of Mining and Technology (Beijing), Beijing, 100083, China; School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing), Beijing, 100083, ChinaState Key Laboratory for Tunnel Engineering, China University of Mining and Technology (Beijing), Beijing, 100083, China; School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing), Beijing, 100083, China; Corresponding author. State Key Laboratory for Tunnel Engineering, China University of Mining and Technology (Beijing), Beijing, 100083, China.State Key Laboratory for Tunnel Engineering, China University of Mining and Technology (Beijing), Beijing, 100083, China; School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing), Beijing, 100083, China; College of Energy Engineering, Xi'an University of Science and Technology, Xi'an, 710054, ChinaSchool of Geosciences and Engineering, Hebei University of Engineering, Handan, 056006, ChinaSchool of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing), Beijing, 100083, China; School of Geosciences and Engineering, Hebei University of Engineering, Handan, 056006, ChinaThe damage process is categorized into two phases from the perspective of crack evolution, damage recovery induced by the closure of primary cracks and damage growth induced by the propagation of new cracks, to establish a damage evolution equation and constitutive relationship that accounts for the initial damage recovery characteristics of rocks. The damage recovery and growth variables are determined through coordinate transformation and the deformation modulus attenuation method, using the damage stress threshold as the critical point. The corresponding theoretical damage evolution equation is developed using the logistic model. In addition, based on the strain equivalence hypothesis, a comprehensive damage evolution equation and constitutive model incorporating the rock's initial compaction process are developed. Finally, the validity of the proposed model is confirmed using uniaxial compression data from gabbro, granite, red sandstone, and yellow sandstone. The results show that the model curve closely aligns with the experimental data.http://www.sciencedirect.com/science/article/pii/S2773230425000435CompactionInitial damageLogistic modelDamage evolutionConstitutive model
spellingShingle Yunpeng Guo
Dongqiao Liu
Jieyu Li
Jian Liu
Xiao Tong
A logistic-based constitutive model for rocks under uniaxial compression considering the initial damage recovery characteristics
Rock Mechanics Bulletin
Compaction
Initial damage
Logistic model
Damage evolution
Constitutive model
title A logistic-based constitutive model for rocks under uniaxial compression considering the initial damage recovery characteristics
title_full A logistic-based constitutive model for rocks under uniaxial compression considering the initial damage recovery characteristics
title_fullStr A logistic-based constitutive model for rocks under uniaxial compression considering the initial damage recovery characteristics
title_full_unstemmed A logistic-based constitutive model for rocks under uniaxial compression considering the initial damage recovery characteristics
title_short A logistic-based constitutive model for rocks under uniaxial compression considering the initial damage recovery characteristics
title_sort logistic based constitutive model for rocks under uniaxial compression considering the initial damage recovery characteristics
topic Compaction
Initial damage
Logistic model
Damage evolution
Constitutive model
url http://www.sciencedirect.com/science/article/pii/S2773230425000435
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