The creep of rock is the result of the evolution of its internal hardening effect and damage effect. Based on the modeling idea of the classical element model, the initial yield strength of rock is taken as the stress threshold of creep hardening. The long-term strength of rock is used as the stress threshold of damage softening. The hardening function that can reflect the hardening effect of rock and the damage variable that can reflect the damage effect are introduced. The results show that the established nonlinear creep model of rock is in good agreement with the creep test results. This shows the correctness of the rock creep model. At the same time, it can fully reflect the creep hardening and damage softening mechanism of the whole process of rock creep. The model can not only describe the existing salt rock creep test, but also provide a theoretical basis for the prediction of creep deformation under other stress states. The model curve established in this paper can better describe the creep curve with accelerated creep than the original model and the test curve. It can also accurately captures the variation of decay creep and stable creep. The model effectively captures the coupled effects of hardening and damage.
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June 2025
Research Article|
June 10 2025
Fractal derivative creep constitutive model of rock considering hardening and damage effects Available to Purchase
Wenbo Liu
;
Wenbo Liu
a)
(Conceptualization, Funding acquisition, Methodology, Writing – original draft, Writing – review & editing)
1
Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering, Guilin University of Technology
, Guilin 541004, China
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Shuguang Zhang
;
Shuguang Zhang
b)
(Conceptualization, Data curation, Funding acquisition, Writing – original draft, Writing – review & editing)
1
Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering, Guilin University of Technology
, Guilin 541004, China
b)Author to whom correspondence should be addressed: [email protected]
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Yipin Liu;
Yipin Liu
c)
(Data curation, Investigation)
2
China Railway 19th Bureau Group Rail Transit Engineering Co., Ltd
, Beijing 100176, China
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Xiang Huang;
Xiang Huang
d)
(Methodology, Supervision)
1
Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering, Guilin University of Technology
, Guilin 541004, China
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Yingbo Li
;
Yingbo Li
e)
(Data curation)
3
Shenzhen Railway Investment and Construction Group Co., Ltd
., Shenzhen 518035, China
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Dipeng Zhu;
Dipeng Zhu
f)
(Data curation)
4
China Construction Fifth Engineering Bureau, South China Construction Co., Ltd
., Shenzhen, Guangdong 518000, China
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Wenbo Liu
1,a)
Shuguang Zhang
1,b)
Yipin Liu
2,c)
Xiang Huang
1,d)
Yingbo Li
3,e)
Dipeng Zhu
4,f)
Wenwu Ou
4,g)
1
Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering, Guilin University of Technology
, Guilin 541004, China
2
China Railway 19th Bureau Group Rail Transit Engineering Co., Ltd
, Beijing 100176, China
3
Shenzhen Railway Investment and Construction Group Co., Ltd
., Shenzhen 518035, China
4
China Construction Fifth Engineering Bureau, South China Construction Co., Ltd
., Shenzhen, Guangdong 518000, China
b)Author to whom correspondence should be addressed: [email protected]
a)
Electronic mail: [email protected]
c)
Electronic mail: [email protected]
d)
Electronic mail: [email protected]
e)
Electronic mail: [email protected]
f)
Electronic mail: [email protected]
g)
Electronic mail: [email protected]
Physics of Fluids 37, 067126 (2025)
Article history
Received:
February 26 2025
Accepted:
April 17 2025
Citation
Wenbo Liu, Shuguang Zhang, Yipin Liu, Xiang Huang, Yingbo Li, Dipeng Zhu, Wenwu Ou; Fractal derivative creep constitutive model of rock considering hardening and damage effects. Physics of Fluids 1 June 2025; 37 (6): 067126. https://doi.org/10.1063/5.0267819
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