A fractional order viscoelastic-plastic creep model for coal sample considering initial damage accumulation
In deep coal and rock mass engineering, extensive initial damage problems caused by excavation and unloading are critical to the long-term deformation and stability of underground projects. An innovative initial damage coal sample test method was proposed, and coal samples with different initial dam...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-08-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682100140X |
| _version_ | 1819070073051021312 |
|---|---|
| author | Peng Huang Jixiong Zhang Ntigurirwa Jean Damascene Chaowei Dong Zhaojun Wang |
| author_facet | Peng Huang Jixiong Zhang Ntigurirwa Jean Damascene Chaowei Dong Zhaojun Wang |
| author_sort | Peng Huang |
| collection | DOAJ |
| description | In deep coal and rock mass engineering, extensive initial damage problems caused by excavation and unloading are critical to the long-term deformation and stability of underground projects. An innovative initial damage coal sample test method was proposed, and coal samples with different initial damage were prepared by the MTS pressure tester's circular displacement cyclic loading and unloading control. The creep characteristics of coal samples with different initial damages were tested by the staged loading creep test method. With the increase of initial damage, the coal samples’ creep time became shorter, and the rate of accelerated creep damage increased sharply. The relationship between fractional viscosity coefficient and stress was introduced to describe the non-linear relationship of creep strain increase at each stage. The creep model in the acceleration phase was improved by establishing the relationship between the damage variable and the initial damage. Based on the fractional calculus theory, a viscoelastic-plastic model considering the initial damage of coal samples was established, and the fractional order model was verified. The coefficient of correlation between the experimental data and the creep model was higher than 0.95, indicating that the fractional creep model can better describe the creep characteristics of coal samples with initial damage. |
| first_indexed | 2024-12-21T17:00:08Z |
| format | Article |
| id | doaj.art-22e817f9d9394ea8914f20703dc29113 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-21T17:00:08Z |
| publishDate | 2021-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-22e817f9d9394ea8914f20703dc291132022-12-21T18:56:39ZengElsevierAlexandria Engineering Journal1110-01682021-08-0160439213930A fractional order viscoelastic-plastic creep model for coal sample considering initial damage accumulationPeng Huang0Jixiong Zhang1Ntigurirwa Jean Damascene2Chaowei Dong3Zhaojun Wang4School of Mines, China University of Mining and Technology, Xuzhou 221116, China; State Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology, Xuzhou 221116, China; Corresponding authors at: School of Mines, China University of Mining and Technology, Xuzhou 221116, China.School of Mines, China University of Mining and Technology, Xuzhou 221116, China; State Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology, Xuzhou 221116, China; Corresponding authors at: School of Mines, China University of Mining and Technology, Xuzhou 221116, China.School of Mines, China University of Mining and Technology, Xuzhou 221116, China; State Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology, Xuzhou 221116, ChinaSchool of Mines, China University of Mining and Technology, Xuzhou 221116, China; State Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology, Xuzhou 221116, ChinaSchool of Mines, China University of Mining and Technology, Xuzhou 221116, China; State Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology, Xuzhou 221116, ChinaIn deep coal and rock mass engineering, extensive initial damage problems caused by excavation and unloading are critical to the long-term deformation and stability of underground projects. An innovative initial damage coal sample test method was proposed, and coal samples with different initial damage were prepared by the MTS pressure tester's circular displacement cyclic loading and unloading control. The creep characteristics of coal samples with different initial damages were tested by the staged loading creep test method. With the increase of initial damage, the coal samples’ creep time became shorter, and the rate of accelerated creep damage increased sharply. The relationship between fractional viscosity coefficient and stress was introduced to describe the non-linear relationship of creep strain increase at each stage. The creep model in the acceleration phase was improved by establishing the relationship between the damage variable and the initial damage. Based on the fractional calculus theory, a viscoelastic-plastic model considering the initial damage of coal samples was established, and the fractional order model was verified. The coefficient of correlation between the experimental data and the creep model was higher than 0.95, indicating that the fractional creep model can better describe the creep characteristics of coal samples with initial damage.http://www.sciencedirect.com/science/article/pii/S111001682100140XInitial damageFractional orderCreep modelViscoelastic-plastic modelAging deformation |
| spellingShingle | Peng Huang Jixiong Zhang Ntigurirwa Jean Damascene Chaowei Dong Zhaojun Wang A fractional order viscoelastic-plastic creep model for coal sample considering initial damage accumulation Alexandria Engineering Journal Initial damage Fractional order Creep model Viscoelastic-plastic model Aging deformation |
| title | A fractional order viscoelastic-plastic creep model for coal sample considering initial damage accumulation |
| title_full | A fractional order viscoelastic-plastic creep model for coal sample considering initial damage accumulation |
| title_fullStr | A fractional order viscoelastic-plastic creep model for coal sample considering initial damage accumulation |
| title_full_unstemmed | A fractional order viscoelastic-plastic creep model for coal sample considering initial damage accumulation |
| title_short | A fractional order viscoelastic-plastic creep model for coal sample considering initial damage accumulation |
| title_sort | fractional order viscoelastic plastic creep model for coal sample considering initial damage accumulation |
| topic | Initial damage Fractional order Creep model Viscoelastic-plastic model Aging deformation |
| url | http://www.sciencedirect.com/science/article/pii/S111001682100140X |
| work_keys_str_mv | AT penghuang afractionalorderviscoelasticplasticcreepmodelforcoalsampleconsideringinitialdamageaccumulation AT jixiongzhang afractionalorderviscoelasticplasticcreepmodelforcoalsampleconsideringinitialdamageaccumulation AT ntigurirwajeandamascene afractionalorderviscoelasticplasticcreepmodelforcoalsampleconsideringinitialdamageaccumulation AT chaoweidong afractionalorderviscoelasticplasticcreepmodelforcoalsampleconsideringinitialdamageaccumulation AT zhaojunwang afractionalorderviscoelasticplasticcreepmodelforcoalsampleconsideringinitialdamageaccumulation AT penghuang fractionalorderviscoelasticplasticcreepmodelforcoalsampleconsideringinitialdamageaccumulation AT jixiongzhang fractionalorderviscoelasticplasticcreepmodelforcoalsampleconsideringinitialdamageaccumulation AT ntigurirwajeandamascene fractionalorderviscoelasticplasticcreepmodelforcoalsampleconsideringinitialdamageaccumulation AT chaoweidong fractionalorderviscoelasticplasticcreepmodelforcoalsampleconsideringinitialdamageaccumulation AT zhaojunwang fractionalorderviscoelasticplasticcreepmodelforcoalsampleconsideringinitialdamageaccumulation |