A finite element solution scheme for an elastic–viscoplastic soil model

Curtis Kelln, Jitendra Sharma, David Hughes

    Research output: Contribution to journalArticle

    12 Citations (Scopus)


    A Newton–Raphson solution scheme with a stress point algorithm is presented for the implementation of an elastic–viscoplastic soilmodel in a finite element program. Viscoplastic strain rates are calculated using the stress and volumetric states of the soil. Sub-incrementsof time are defined for each iterative calculation of elastic–viscoplastic stress changes so that their sum adds up to the time incrementfor the load step. This carefully defined ‘iterative time’ ensures that the correct amount of viscoplastic straining is accumulated overthe applied load step. The algorithms and assumptions required to implement the solution scheme are provided. Verification of the solutionscheme is achieved by using it to analyze typical boundary value problems.
    Original languageEnglish
    Pages (from-to)524-536
    Number of pages13
    JournalComputers and Geotechnics
    Issue number4
    Publication statusPublished - Jul 2008


    • Elastic–viscoplastic
    • Finite element
    • Newton–Raphson
    • Substepping algorithm
    • Error control

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