Multi-dimensional Consolidation Theory for Cyclic Loadings

Abstract

Results of a parametric study investigating the axisymmetric consolidation of a semi-infinite isotropic saturated clay subjected to a time-varying circular pressure at the ground surface are presented in this paper. Biot's governing consolidation equations for transversely isotropic clay is used here; the general solutions have been previously derived by applying the Laplace-Hankel transform technique. Use the numerical inverting procedure to study the consolidation behavior in the time domain for some conventional loading cases. Useful results obtained from this paper can be used into practice directly.

Shallow Compaction Modeling and Upscaling: A One-Dimensional Analytical Solution and Upscaling

“…As for the multilayer system, analytical solutions such as state space (Ai et al, 2008a), three-dimensional transfer matrix solution (Ai et al, 2008b), and differential quadrature method (Chen et al, 2005) have been developed, and numerical finite difference is also widely adopted. In addition, a great deal of research has been done on multilayer consolidation, considering small-strain and largestrain processes (Schiffman and Stein, 1970;Lee et al, 1992;Xie et al, 1999;Xie et al, 2002;Chen, 2004;Chen et al, 2005;Abbasi et al, 2007;Cai et al, 2007;Ai et al, 2008b;Geng, 2008;Ai et al, 2011). However, there are two main drawbacks associated with the previous research studies.…”