Journal
COMPUTERS AND GEOTECHNICS
Volume 109, Issue -, Pages 144-165Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.compgeo.2019.01.002
Keywords
Two-dimensional plane strain consolidation; Unsaturated soil; Semi-analytical solution; Time-dependent loading; Fourier sine series; Laplace transform
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Funding
- National Natural Science Foundation of China [41630633, 41807232]
- China Postdoctoral Science Foundation [2018M640389]
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This paper presents semi-analytical solutions of two-dimensional plane strain consolidation for unsaturated soils under time-dependent loading using Fourier sine series and Laplace transform. The consolidation equations in form of two-order partial differential equations with three variables are firstly converted to that with two variables. Then four-order ordinary differential equations about excess pore-air and pore-water pressures are presented, and the semi-analytical solutions of excess pore-air and pore-water pressures and settlement are achieved in the Laplace transform domain. Two comparisons are performed to verify the exactness of the obtained solutions, and the consolidation behavior involving three time-dependent loadings is illustrated and discussed.
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