Analytical solution for one-dimensional consolidation of unsaturated soils under dynamic load

Firstly, in this paper, based on the theory of the porous elastic medium and combined with the eﬀective stress principle of unsaturated soil, a set of governing equations is established to describe consolidation of the unsaturated soil. Secondly, an analytical expression under any dynamic loads is obtained with the help of Laplace integral transformation. Finally, analysis of numerical examples under speciﬁc boundary conditions is made to discuss one-dimensional consolidation characteristics under harmonic loads and the inﬂuence of factors on the consolidation characteristics of unsaturated soil, such as excitation frequency and initial saturation.