Lower bound limit analysis using the Control Volume Finite Element Method

J. P. Hambleton, S. W. Sloan, A. V. Pyatigorets, V. R. Voller

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The paper presents a novel approach for lower bound limit analysis based on the Control Volume Finite Element Method. The central concept of the solution procedure is a force balance on control volumes corresponding to nodes, where tractions on control volume faces are evaluated using linear interpolation of the unknown stress components at nodal points. An optimization routine incorporating second-order cone programming is subsequently employed to fi nd the stress fi eld that maximizes applied load subject to constraints imposed by equilibrium, boundary conditions, and the yield condition, thereby fi nding a load that is closest to the true collapse load. The formulation is for plain strain (i.e. two dimensions) and material obeying the Mohr-Coulomb yield condition. The proposed approach is applied to the benchmark problem of a uniform strip load applied to a half space, and very good agreement between analytical and numerical results is found.

Original languageEnglish (US)
Title of host publicationComputer Methods for Geomechanics
Subtitle of host publicationFrontiers and New Applications
Pages88-93
Number of pages6
StatePublished - Dec 1 2011
Event13th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2011 - Melbourne, VIC, Australia
Duration: May 9 2011May 11 2011

Publication series

NameComputer Methods for Geomechanics: Frontiers and New Applications
Volume1

Other

Other13th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2011
CountryAustralia
CityMelbourne, VIC
Period5/9/115/11/11

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Geochemistry and Petrology

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  • Cite this

    Hambleton, J. P., Sloan, S. W., Pyatigorets, A. V., & Voller, V. R. (2011). Lower bound limit analysis using the Control Volume Finite Element Method. In Computer Methods for Geomechanics: Frontiers and New Applications (pp. 88-93). (Computer Methods for Geomechanics: Frontiers and New Applications; Vol. 1).