Biot consolidation analysis with automatic time stepping and error control Part 2: applications

Abstract

SUMMARYThe automatic time-stepping algorithms developed in a companion paper are used to study the behaviour of several problems involving the consolidation of porous media. The aim of these analyses is to demonstrate that the new procedures are robust, e$cient, and can control the global temporal discretization (or time-stepping) error in the displacements to lie near a prescribed error tolerance.

Consolidated undrained load-carrying capacity of subsea mudmats under combined loading in six degrees of freedom

“…Davis & Poulos, 1968, Booker & Small, 1986, Gourvenec & Randolph, 2010, such that capacity cannot be addressed; or elasto-plastic consolidation (e.g. Manoharan & Dasgupta, 1995, Sloan & Abbo, 1999, Nazem, et al 2008. Total stress analyses were carried out by Taylor and Ooi (1971) to investigate the increase in bearing capacity resulting from complete consolidation for a uniformly loaded strip foundation.…”

Aspects of finite element implementation of critical state models

“…The performance of this adaptive time stepping scheme has been demonstrated for simple elastoplastic models by Sloan and Abbo [34]. In all cases, the scheme was found to be able to constrain the global temporal error in the displacements to lie near the desired tolerance.…”

Novel adaptive time stepping method and its application to soil seismic liquefaction analysis

“…Therefore, in the temporal domain, an adaptive time stepping method is required. From the previous studies, the adaptive time stepping method is widely used in the structural engineering [17], fluid flow analysis [18][19][20][21], and soil consolidation analysis [22,23], but relatively few studies have focused on soil dynamic analysis using an adaptive time stepping method. Exactly, for soil dynamic analysis, it is a time consuming process due to the time-history analysis and the limitation of time step size.…”