Explicit stress integration with error control for the Barcelona Basic Model. Part II: Algorithms efficiency and accuracy

Wojciech T. Sołowski*, Domenico Gallipoli

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

24 Citations (Scopus)

Abstract

The paper compares the accuracy and efficiency of explicit stress integration schemes for elasto-plastic unsaturated soil models with automatic error control. Numerical tests are performed with reference to the Barcelona Basic Model (BBM), one of the most popular elasto-plastic models for unsaturated soils, by using eight explicit Runge-Kutta algorithms of various order as well as a novel application of the extrapolation method described in the companion paper. Initially, the results obtained from the lowest order Runge-Kutta scheme (i.e. Modified Euler) as well as the extrapolation method are checked against accurate solutions of a number of BBM paths involving changes of strains and suction. Subsequently, the efficiency and accuracy of all algorithms are assessed for generic increments of strains and suction, while the difference between two alternative error control methods is also analysed. The results presented, although strictly valid for the Barcelona Basic Model, are expected to be general and relevant to other similar unsaturated elasto-plastic models formulated in terms of two independent stress variables such as net stress and suction.

Original languageEnglish
Pages (from-to)68-81
Number of pages14
JournalComputers and Geotechnics
Volume37
Issue number1-2
DOIs
Publication statusPublished - Jan 2010
MoE publication typeA1 Journal article-refereed

Keywords

  • Barcelona Basic Model
  • Elasto-plasticity
  • Explicit stress integration
  • Richardson extrapolation
  • Runge-Kutta methods
  • Unsaturated soils

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