Skip to content
Research Article Open access CC BY 4.0

Numerical Solution to One-dimensional Consolidation by the Finite Element Method

E. Nwankwo, O. D. Aluko, S. Iyeke, A. Aladenika

Journal of Advances in Mathematics and Computer Science · pp. 1–15 · Published 27 Jun 2019

10.9734/jamcs/2019/v32i630162

Abstract

Adequate prediction of structures settlement is of utmost importance in order to prevent future failure of civil engineering structures due to excessive settlement resulting from an inadequate settlement prediction. In this paper, laboratory consolidation test was performed on five different clay samples from different locations to determine the soil consolidation in terms of pore water pressure. A formulation of Finite Element (FE) method was also developed for solving one-dimensional consolidation problem and its validity checked out. The one-dimensional consolidation differential equation was solved using finite element analysis by Rayleigh-Ritz method to obtain an approximate solution and ten elements were used to discretize the domain. MATLAB program was used to write the finite element codes. Considering the graphs generated from the MATLAB program which compares the consolidation behavior of the soil sample from analytical and numerical point of view, it is seen that there is a good agreement between Terzaghi’s exact solution to consolidation behavior of soils and numerical solution using the finite element method.

Consolidation one-dimensional Terzaghi’s solution finite element method MATLAB

References (13)

  1. 1 Analytical solution for the two-dimensional plane strain consolidation of an unsaturated soil stratum subjected to time-dependent loading [DOI]
  2. 2 Exact solutions for one‐dimensional consolidation of single‐layer unsaturated soil [DOI]
  3. 3 Analytical solution for one‐dimensional consolidation of unsaturated soils using eigenfunction expansion method [DOI]
  4. 4 A simple analytical solution to one‐dimensional consolidation for unsaturated soils [DOI]
  5. 5 Analytical theory for one‐dimensional consolidation of clayey soils exhibiting rheological characteristics under time‐dependent loading [DOI]
  6. 6 One-dimensional consolidation of layered soils with impeded boundaries under time-dependent loadings [DOI]
  7. 7 A general solution for 1D consolidation induced by depth- and time-dependent changes in stress [DOI]
  8. 8 Analytical Solution for One-Dimensional Consolidation of Soil with Exponentially Time-Growing Drainage Boundary under a Ramp Load [DOI]
  9. 9 Semi-analytical solutions to one-dimensional consolidation for unsaturated soils with semi-permeable drainage boundary [DOI]
  10. 10 Evaluation of two finite element formulations for one-dimensional consolidation [DOI]
  11. 11 Analytical and Numerical Modelling of One-Dimensional Consolidation of Stabilized Peat [DOI]
  12. 12 Consolidation characteristics of clay using constant rate of deformation test
  13. 13 soil mechanics in engineering practice [DOI]

Cited by 0

No indexed citations yet.

Related research

Article metrics

Real usage data collected on this platform.

60

Page views

0

PDF downloads

10

Outbound clicks

0

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.