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Volume 41 Issue 9
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NIU Jia-jun, LING Dao-sheng, WANG Xiu-kai, SHAN Zhen-dong, ZHAO Yun. Exact solutions for one-dimensional thermal consolidation of single-layer saturated soil[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(9): 1715-1723. DOI: 10.11779/CJGE201909016
Citation: NIU Jia-jun, LING Dao-sheng, WANG Xiu-kai, SHAN Zhen-dong, ZHAO Yun. Exact solutions for one-dimensional thermal consolidation of single-layer saturated soil[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(9): 1715-1723. DOI: 10.11779/CJGE201909016
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Exact solutions for one-dimensional thermal consolidation of single-layer saturated soil

  • 1. Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China;
    2. Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China;
    3. College of Civil Engineering and Architecture, Henan University of Technology, Zhengzhou 450001, China

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  • Received Date: November 19, 2018
  • Published Date: September 24, 2019
    Graphical Abstract
    • Abstract
  • The consolidation under the non-isothermal field has long been the research focus. Based on the governing equations which take seepage flow into consideration, a new method to obtain exact solutions for one-dimensional thermal consolidation of single-layer saturated soil with three types of arbitrary boundary conditions is proposed. Firstly, the aim to solve temperature and excess pore pressure is transformed to solve the function ϕ by introducing the function φ. The eigenfunctions of differential equations are achieved with boundary conditions by the method of separation of variables. The nonhomogeneous boundary conditions are then transformed into homogeneous ones. The series form exact solutions are put forward according to the method of undetermined coefficients and eigenfunctions of differential equations. Finally, the conclusions that the seepage and temperature boundary play an important role in the thermal consolidation of the soil are reached by case studies.
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    • References (16)
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