New Maxwell Creep Model Based on Fractional and Elastic-Plastic Elements
Creep models are mainly used to describe the rheological behaviour of geotechnical materials. An important research focus for studying creep in geotechnical materials is the development of a model with few parameters and good simulation performance. Hence, in this study, by replacing the Newtonian d...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/9170706 |
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| _version_ | 1832559185402789888 |
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| author | Hao Tang Dongpo Wang Zhao Duan |
| author_facet | Hao Tang Dongpo Wang Zhao Duan |
| author_sort | Hao Tang |
| collection | DOAJ |
| description | Creep models are mainly used to describe the rheological behaviour of geotechnical materials. An important research focus for studying creep in geotechnical materials is the development of a model with few parameters and good simulation performance. Hence, in this study, by replacing the Newtonian dashpot and spring in the classical Maxwell model with fractional and elastic-plastic elements, a new Maxwell creep model based on fractional derivatives and continuum damage mechanics was developed. One- and three-dimensional (1D/3D) creep equations of the new Maxwell creep model were derived. The 1D creep equation of the new model was used to fit existing creep data of rock salt, and the 3D creep equation was used to fit the creep data of remolded loess. The model curves matched the creep data very well, showing considerably higher accuracy than other models. Furthermore, a sensitivity study was carried out, showing the effects of the fractional derivative order β and exponent α on the creep strain of rock salt. This new model is simple with few parameters and can effectively simulate the complete creep behaviour of geotechnical materials. |
| format | Article |
| id | doaj-art-036e87752bc744f098fd3504037d1734 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-036e87752bc744f098fd3504037d17342025-02-03T01:30:32ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/91707069170706New Maxwell Creep Model Based on Fractional and Elastic-Plastic ElementsHao Tang0Dongpo Wang1Zhao Duan2Geological Research Institute for Coal Green Mining, Xi’an University of Science and Technology, Xi’an 710054, ChinaState Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, ChinaCollege of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, ChinaCreep models are mainly used to describe the rheological behaviour of geotechnical materials. An important research focus for studying creep in geotechnical materials is the development of a model with few parameters and good simulation performance. Hence, in this study, by replacing the Newtonian dashpot and spring in the classical Maxwell model with fractional and elastic-plastic elements, a new Maxwell creep model based on fractional derivatives and continuum damage mechanics was developed. One- and three-dimensional (1D/3D) creep equations of the new Maxwell creep model were derived. The 1D creep equation of the new model was used to fit existing creep data of rock salt, and the 3D creep equation was used to fit the creep data of remolded loess. The model curves matched the creep data very well, showing considerably higher accuracy than other models. Furthermore, a sensitivity study was carried out, showing the effects of the fractional derivative order β and exponent α on the creep strain of rock salt. This new model is simple with few parameters and can effectively simulate the complete creep behaviour of geotechnical materials.http://dx.doi.org/10.1155/2020/9170706 |
| spellingShingle | Hao Tang Dongpo Wang Zhao Duan New Maxwell Creep Model Based on Fractional and Elastic-Plastic Elements Advances in Civil Engineering |
| title | New Maxwell Creep Model Based on Fractional and Elastic-Plastic Elements |
| title_full | New Maxwell Creep Model Based on Fractional and Elastic-Plastic Elements |
| title_fullStr | New Maxwell Creep Model Based on Fractional and Elastic-Plastic Elements |
| title_full_unstemmed | New Maxwell Creep Model Based on Fractional and Elastic-Plastic Elements |
| title_short | New Maxwell Creep Model Based on Fractional and Elastic-Plastic Elements |
| title_sort | new maxwell creep model based on fractional and elastic plastic elements |
| url | http://dx.doi.org/10.1155/2020/9170706 |
| work_keys_str_mv | AT haotang newmaxwellcreepmodelbasedonfractionalandelasticplasticelements AT dongpowang newmaxwellcreepmodelbasedonfractionalandelasticplasticelements AT zhaoduan newmaxwellcreepmodelbasedonfractionalandelasticplasticelements |