Volume 31, N. 1

January-April 2008

Some Applications of Linear Viscoelasticity to Problems of Consolidation under Variable Loading

Article

Volume 31, N. 1, January-April 2008 | DOWNLOAD PDF (6 downloads)

Abstract

The main purpose of this paper is to present a general method to derive closed form solutions for one-dimensional consolidation problems under time dependent loading using the Linear Viscoelasticity theory. A review of the basic concepts of this theory is initially presented and, mainly for illustration purposes, the method is applied to three consolidation problems, leading to relevant solutions for Geotechnical Engineering. In the first application, considering Terzaghi’s and Barron’s solutions, creep functions are determined for vertical and radial drainage, allowing derivation of expressions for one-dimensional consolidation under a number of linear loads for these drainage conditions. Using Carrillo’s equation, the creep function for combined vertical and radial drainage is obtained, leading to corresponding solution for linear variable loading. Partial submersion of embankments on soft soils is another consolidation problem under time dependent loading solved by means of Viscoelasticity. Classical approximate solutions are used in this second application to establish creep functions for vertical drainage and exact Barron’s solution to establish creep function for radial drainage. An expression for late stages of consolidation is also derived for combined vertical and radial drainage condition. The third application considers the problem of load transfer from a consolidating deposit of soft clay to a pattern of drain columns of finite stiffness. Diagrams concerning a case of consolidation under linear variable three-step loading and consolidation with partial submersion of the fill are provided to illustrate the solutions obtained.

Keywords: One-dimensional consolidation, Viscoelasticity, Variable loading, Submersion of embankments, Drain columns,


Submitted on March 15, 2007.
Final Acceptance on September 04, 2007.
Discussion open until August 29, 2008.
DOI: 10.28927/SR.311015