Fractional creep model of temperature-stress-time coupled damage for deep coal based on temperature-equivalent stress
The effective stress concept of temperature equivalent stress and actual stress acting together is established from the point of view that stress and temperature cause the same strain. The yield failure of coal and rock mass arises from the effective stress formed by the combination of temperature e...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-08-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722004351 |
| _version_ | 1818097175986438144 |
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| author | Huilin Deng Hongwei Zhou Lifeng Li |
| author_facet | Huilin Deng Hongwei Zhou Lifeng Li |
| author_sort | Huilin Deng |
| collection | DOAJ |
| description | The effective stress concept of temperature equivalent stress and actual stress acting together is established from the point of view that stress and temperature cause the same strain. The yield failure of coal and rock mass arises from the effective stress formed by the combination of temperature equivalent stress and actual stress. A temperature-stress coupled damage variable is established according to the hypothesis that the strength of coal and rock microunits obeys Weilbull distribution law and meet Drucker-Prager (D-P) yield failure criterion. A temperature-stress-time coupled damage variable is established by introducing a negative exponential function related to temperature and actual stress duration. The temperature-stress coupled damage variable of coal and rock mass is independent of the action time of temperature and time, but only related to the yield function F. The time damage variable is associated with the action time after the effective stress reaches the yield, which is mainly manifested in the viscoplastic deformation. Uniaxial and triaxial fractional creep models considering temperature-stress-time coupled damage are established by using Caputo fractional derivative definition. The parameters of temperature-stress-time coupled damage creep model are obtained by fitting the laboratory test data of deep coal body. The sensitivity of fitting parameters to the model and the goodness of fit analysis show that temperature-stress-time coupled damage model can well demonstrate the creep curves under different temperatures and stresses and the fitting accuracy is high. |
| first_indexed | 2024-12-10T23:16:21Z |
| format | Article |
| id | doaj.art-5132a018f46249b3a77e823671f48227 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-10T23:16:21Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-5132a018f46249b3a77e823671f482272022-12-22T01:29:50ZengElsevierResults in Physics2211-37972022-08-0139105765Fractional creep model of temperature-stress-time coupled damage for deep coal based on temperature-equivalent stressHuilin Deng0Hongwei Zhou1Lifeng Li2School of Mechanics and Civil Engineering, China University of Mining and Technology, Beijing 100083, PR China; School of Science, Guizhou University of Engineering Science, Bijie, Guizhou 551700, PR ChinaSchool of Energy and Mining Engineering, China University of Mining and Technology, Beijing 100083, PR China; State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Beijing 100083, PR China; Corresponding author.School of Science, Guizhou University of Engineering Science, Bijie, Guizhou 551700, PR ChinaThe effective stress concept of temperature equivalent stress and actual stress acting together is established from the point of view that stress and temperature cause the same strain. The yield failure of coal and rock mass arises from the effective stress formed by the combination of temperature equivalent stress and actual stress. A temperature-stress coupled damage variable is established according to the hypothesis that the strength of coal and rock microunits obeys Weilbull distribution law and meet Drucker-Prager (D-P) yield failure criterion. A temperature-stress-time coupled damage variable is established by introducing a negative exponential function related to temperature and actual stress duration. The temperature-stress coupled damage variable of coal and rock mass is independent of the action time of temperature and time, but only related to the yield function F. The time damage variable is associated with the action time after the effective stress reaches the yield, which is mainly manifested in the viscoplastic deformation. Uniaxial and triaxial fractional creep models considering temperature-stress-time coupled damage are established by using Caputo fractional derivative definition. The parameters of temperature-stress-time coupled damage creep model are obtained by fitting the laboratory test data of deep coal body. The sensitivity of fitting parameters to the model and the goodness of fit analysis show that temperature-stress-time coupled damage model can well demonstrate the creep curves under different temperatures and stresses and the fitting accuracy is high.http://www.sciencedirect.com/science/article/pii/S2211379722004351Creep modelDamage variablesFractional derivativeCoal and rock massTemperature-equivalent stress |
| spellingShingle | Huilin Deng Hongwei Zhou Lifeng Li Fractional creep model of temperature-stress-time coupled damage for deep coal based on temperature-equivalent stress Results in Physics Creep model Damage variables Fractional derivative Coal and rock mass Temperature-equivalent stress |
| title | Fractional creep model of temperature-stress-time coupled damage for deep coal based on temperature-equivalent stress |
| title_full | Fractional creep model of temperature-stress-time coupled damage for deep coal based on temperature-equivalent stress |
| title_fullStr | Fractional creep model of temperature-stress-time coupled damage for deep coal based on temperature-equivalent stress |
| title_full_unstemmed | Fractional creep model of temperature-stress-time coupled damage for deep coal based on temperature-equivalent stress |
| title_short | Fractional creep model of temperature-stress-time coupled damage for deep coal based on temperature-equivalent stress |
| title_sort | fractional creep model of temperature stress time coupled damage for deep coal based on temperature equivalent stress |
| topic | Creep model Damage variables Fractional derivative Coal and rock mass Temperature-equivalent stress |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722004351 |
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