Exact solutions for one‐dimensional consolidation of single‐layer unsaturated soil

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Semi‐analytical solution to one‐dimensional consolidation for unsaturated soils with semi‐permeable drainage boundary under time‐dependent loading (2017, background): “Other researchers, respectively, extended the analytical solutions to 1D consolidation equations of unsaturated soils under ramp loading [13, 19], sinusoidal loading [14, 19] and damped sine wave loadings [19].”
Analytical solution for one‐dimensional consolidation of unsaturated soils using eigenfunction expansion method (2014, methodology): “Both examples include one-way and two-way drainage boundary conditions and will adopt similar properties [9, 12] as follows: • Material properties:”
A simple analytical solution to one‐dimensional consolidation for unsaturated soils (2014, background): “[19] also presented an exact solution of 1-D consolidation for unsaturated soils with different boundary and loading conditions.”