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ANALYSIS OF ONE-DIMENSIONAL CONSOLIDATION BEHAVIOR OF SATURATED SOILS SUBJECT TO AN INNER SINK BY USING FRACTIONAL KELVIN−VOIGT VISCOELASTIC MODEL

Volume 22, Edição 12, 2019, pp. 1539-1552
DOI: 10.1615/JPorMedia.2019026059
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RESUMO

One-dimensional consolidation of viscoelastic saturated soils with fractional order derivative induced by an inner sink is investigated analytically in this work. To accurately describe the rheological behavior of saturated soils, the theory of fractional calculus is introduced to the Kelvin-Voigt viscoelastic model. The exact solution to one-dimensional consolidation of fractional Kelvin-Voigt viscoelastic saturated soils in the transformed domain is formulated by applying the Laplace transform, and the semianalytical solution in physical space is obtained after implementing numerical Laplace inversion by using the Crump method. To verify the presented analytical solution, the simplified form of the solution presented in the case of linear elasticity is compared to the available analytical solution in the literature. The agreement confirms the validity of the presented analytical solution in some sense. Furthermore, based on the analytical solution obtained, the one-dimensional consolidation behavior of viscoelastic saturated soils with fractional order derivative is studied in detail. The presented model and solution are of benefit to better understand the nonlinear creeping behavior of consolidation of viscoelastic saturated soils.

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CITADO POR
  1. Ding Pan, Xu Riqing, Ju Luying, Qiu Zhijian, Cheng Guangmou, Zhan Xiaobo, Semi‐analytical analysis of fractional derivative rheological consolidation considering the effect of self‐weight stress, International Journal for Numerical and Analytical Methods in Geomechanics, 45, 8, 2021. Crossref

  2. Li Linzhong, Qin Aifang, Jiang Lianghua, Semi‐analytical solution for one‐dimensional consolidation of a two‐layered soil system with unsaturated and saturated conditions, International Journal for Numerical and Analytical Methods in Geomechanics, 45, 15, 2021. Crossref

  3. Qin Aifang, Li Xinhao, Li Tianyi, Jiang Lianghua, General analytical solutions for the equal‐strain consolidation of prefabricated vertical drain foundation in unsaturated soils under time‐dependent loading, International Journal for Numerical and Analytical Methods in Geomechanics, 46, 8, 2022. Crossref

  4. Li Linzhong, Qin Aifang, Jiang Lianghua, Semianalytical Solution of One-Dimensional Consolidation of Multilayered Unsaturated Soils, International Journal of Geomechanics, 21, 8, 2021. Crossref

  5. Cui Peng-lu, Cao Wen-gui, Xu Zan, Wei Yun-bo, Zhang Jia-chao, Analysis of one-dimensional consolidation of fractional viscoelastic saturated soils under continuous drainage boundary conditions, Journal of Central South University, 29, 11, 2022. Crossref

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