Comparison of explicit and implicit integration schemes for the Barcelona Basic Model

W. T. Sołowski*, M. Hofmann, G. Hofstetter

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

1 Citation (Scopus)


The paper presents a comparison between a range of explicit and implicit stress integration schemes applied to the Barcelona Basic Model (BBM). The implicit algorithms tested are a general and an optimised return mapping algorithm for BBM. The latter is characterized by analytical integration of the hardening law and by solving only a single non-linear equation. This improves the stability and accuracy of the stress integration and reduces the required computing time. The explicit algorithms assessed include three Runge-Kutta algorithms with adaptive substepping and local error control and an extrapolation algorithm with substepping and global error control. A comparison of the algorithms accuracy and assessment of stability is presented based on tests with three sets of BBM material parameters and strain increments covering the range from zero to three percent of volumetric and shear strain.

Original languageEnglish
Title of host publicationUnsaturated Soils: Theoretical and Numerical Advances in Unsaturated Soil Mechanics - Proceedings of the 4th Asia Pacific Conference on Unsaturated Soils
Number of pages6
Publication statusPublished - 2010
MoE publication typeA4 Article in a conference publication
EventAsia-Pacific Conference on Unsaturated Soils - Newcastle, Australia
Duration: 23 Nov 200925 Nov 2009
Conference number: 4


ConferenceAsia-Pacific Conference on Unsaturated Soils
Abbreviated titleAP-UNSAT

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