Journal of Shanghai University(Natural Science Edition) ›› 2017, Vol. 23 ›› Issue (6): 937-.doi: 10.12066/j.issn.1007-2861.1799

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Analysis of one-dimensional consolidation characteristics of viscoelastic unsaturated soils under cyclic loads

QIN Aifang, LÜ Kangli   

  1. Department of Civil Engineer, Shanghai University, Shanghai 200444, China
  • Received:2016-02-29 Online:2017-12-30 Published:2017-12-30

Abstract:

This paper presents a semi-analytical solution to one-dimensional consolidation in viscoelastic unsaturated soils with a finite thickness under arbitrary loads. It is based on the Fredlund’s one-dimensional consolidation theory for unsaturated soil. The excess poreair and pore-water pressures and settlement in the Laplace-transform domain were obtained by applying the Laplace transform and Cayley-Hamilton mathematical methods to the governing equations of water and air, Darcy’s law and Fick’s law. The top surface of soil is permeable to water and air, and the bottom impermeable to water and air. On this basis and by introducing three kinds of cyclic loads, semi-analytical solutions are obtained in the time domain using the Crump and Durbin method to perform Laplace inversion. Finally, the relevant behavior of one-dimensional consolidation for the viscoelastic unsaturated soil is discussed.

Key words: cyclic load, one-dimensional consolidation, viscoelastic, unsaturated soil