A triaxial creep model for salt rocks based on variable-order fractional derivative

This paper intend to describe the entire creep process of a salt rock under triaxial loading, especially the creep characteristics in the accelerated creep stage, by replacing the Newtonian dashpot in the Maxwell model with the variable-order fractional derivative component and extending it from one...

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Published inMechanics of time-dependent materials Vol. 25; no. 1; pp. 101 - 118
Main Authors Fei, Wu, Jie, Liu, Quanle, Zou, Cunbao, Li, Jie, Chen, Renbo, Gao
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.03.2021
Springer Nature B.V
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Abstract This paper intend to describe the entire creep process of a salt rock under triaxial loading, especially the creep characteristics in the accelerated creep stage, by replacing the Newtonian dashpot in the Maxwell model with the variable-order fractional derivative component and extending it from one to three dimensions. The experimental data were obtained from the creep of salt rock under multistage loading for approximately five months to examine the applicability of the new model. The fitting results show that the new model can accurately describe the creep behavior of the salt rock and can fully reflect the accelerative rheological property of the salt rock. Compared with the traditional nonlinear rheological model, the new model has fewer parameters and increased accuracy of the fitting results, and is anticipated to have an increased application area.
AbstractList This paper intend to describe the entire creep process of a salt rock under triaxial loading, especially the creep characteristics in the accelerated creep stage, by replacing the Newtonian dashpot in the Maxwell model with the variable-order fractional derivative component and extending it from one to three dimensions. The experimental data were obtained from the creep of salt rock under multistage loading for approximately five months to examine the applicability of the new model. The fitting results show that the new model can accurately describe the creep behavior of the salt rock and can fully reflect the accelerative rheological property of the salt rock. Compared with the traditional nonlinear rheological model, the new model has fewer parameters and increased accuracy of the fitting results, and is anticipated to have an increased application area.
Author Quanle, Zou
Jie, Chen
Jie, Liu
Fei, Wu
Renbo, Gao
Cunbao, Li
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  organization: State Key Laboratory for the Coal Mine Disaster Dynamics and Controls, Chongqing University
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Keywords Triaxial creep model
Salt rock
Variable-order fractional derivative
Multistage loading
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PublicationSubtitle An International Journal Devoted to the Time-Dependent Behaviour of Materials and Structures
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Snippet This paper intend to describe the entire creep process of a salt rock under triaxial loading, especially the creep characteristics in the accelerated creep...
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SubjectTerms Characterization and Evaluation of Materials
Classical Mechanics
Creep (materials)
Engineering
Model accuracy
Polymer Sciences
Rheological properties
Rheology
Solid Mechanics
Triaxial loads
Title A triaxial creep model for salt rocks based on variable-order fractional derivative
URI https://link.springer.com/article/10.1007/s11043-020-09470-0
https://www.proquest.com/docview/2546078132
Volume 25
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