Semianalytical Solution for Thermal Consolidation of Viscoelastic Marine Clay with the Fractional Order Derivative
The deformation property of marine clay under a heat source has received considerable attention in the geotechnical literature. In this paper, a three-parameter fractional order derivative model is introduced into the thermo-hydro-mechanical coupling governing equations with thermal filtration and t...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2022/9184338 |
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| author | Minjie Wen Lichen Li Xinchen Qiu Yi Tian Kuihua Wang Kaifu Liu Wenbing Wu |
| author_facet | Minjie Wen Lichen Li Xinchen Qiu Yi Tian Kuihua Wang Kaifu Liu Wenbing Wu |
| author_sort | Minjie Wen |
| collection | DOAJ |
| description | The deformation property of marine clay under a heat source has received considerable attention in the geotechnical literature. In this paper, a three-parameter fractional order derivative model is introduced into the thermo-hydro-mechanical coupling governing equations with thermal filtration and thermo-osmosis to simulate viscoelastic characteristics of marine clay. The excess pore pressure, temperature increment, and displacement of marine clay are derived by using the Laplace transform method, and the semianalytical solution for the one-dimensional thermal consolidation in the time domain is derived by using a numerical inversion of the inverse Laplace transform. The influence of the order of the fractional derivative, material parameters, and phenomenological coefficient on thermal consolidation is investigated based on the present solutions. It is shown that the influence of the fractional derivative parameter on the excess pore pressure and displacement of marine clay depends on the properties of soil mass, and the temperature increment has an obvious effect on the thermal filtration and thermo-osmosis process. |
| format | Article |
| id | doaj-art-9033c51229a54f68a2df6a4feab5d1de |
| institution | Kabale University |
| issn | 1687-8094 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-9033c51229a54f68a2df6a4feab5d1de2025-02-03T01:20:08ZengWileyAdvances in Civil Engineering1687-80942022-01-01202210.1155/2022/9184338Semianalytical Solution for Thermal Consolidation of Viscoelastic Marine Clay with the Fractional Order DerivativeMinjie Wen0Lichen Li1Xinchen Qiu2Yi Tian3Kuihua Wang4Kaifu Liu5Wenbing Wu6School of Civil Engineering and ArchitectureFaculty of EngineeringResearch Center of Coastal Urban Geotechnical EngineeringFaculty of EngineeringResearch Center of Coastal Urban Geotechnical EngineeringSchool of Civil Engineering and ArchitectureResearch Center of Coastal Urban Geotechnical EngineeringThe deformation property of marine clay under a heat source has received considerable attention in the geotechnical literature. In this paper, a three-parameter fractional order derivative model is introduced into the thermo-hydro-mechanical coupling governing equations with thermal filtration and thermo-osmosis to simulate viscoelastic characteristics of marine clay. The excess pore pressure, temperature increment, and displacement of marine clay are derived by using the Laplace transform method, and the semianalytical solution for the one-dimensional thermal consolidation in the time domain is derived by using a numerical inversion of the inverse Laplace transform. The influence of the order of the fractional derivative, material parameters, and phenomenological coefficient on thermal consolidation is investigated based on the present solutions. It is shown that the influence of the fractional derivative parameter on the excess pore pressure and displacement of marine clay depends on the properties of soil mass, and the temperature increment has an obvious effect on the thermal filtration and thermo-osmosis process.http://dx.doi.org/10.1155/2022/9184338 |
| spellingShingle | Minjie Wen Lichen Li Xinchen Qiu Yi Tian Kuihua Wang Kaifu Liu Wenbing Wu Semianalytical Solution for Thermal Consolidation of Viscoelastic Marine Clay with the Fractional Order Derivative Advances in Civil Engineering |
| title | Semianalytical Solution for Thermal Consolidation of Viscoelastic Marine Clay with the Fractional Order Derivative |
| title_full | Semianalytical Solution for Thermal Consolidation of Viscoelastic Marine Clay with the Fractional Order Derivative |
| title_fullStr | Semianalytical Solution for Thermal Consolidation of Viscoelastic Marine Clay with the Fractional Order Derivative |
| title_full_unstemmed | Semianalytical Solution for Thermal Consolidation of Viscoelastic Marine Clay with the Fractional Order Derivative |
| title_short | Semianalytical Solution for Thermal Consolidation of Viscoelastic Marine Clay with the Fractional Order Derivative |
| title_sort | semianalytical solution for thermal consolidation of viscoelastic marine clay with the fractional order derivative |
| url | http://dx.doi.org/10.1155/2022/9184338 |
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