A comparison between dynamic implicit and explicit finite element simulations of the native knee joint

Hamid Naghibi Beidokhti*, Dennis Janssen, Mehdi Khoshgoftar, Andre Sprengers, Emin Semih Perdahcioglu, Ton van den Boogaard, Nico Verdonschot

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    32 Citations (Scopus)
    26 Downloads (Pure)


    The finite element (FE) method has been widely used to investigate knee biomechanics. Time integration algorithms for dynamic problems in finite element analysis can be classified as either implicit or explicit. Although previously both static/dynamic implicit and dynamic explicit method have been used, a comparative study on the outcomes of both methods is of high interest for the knee modeling community. The aim of this study is to compare static, dynamic implicit and dynamic explicit solutions in analyses of the knee joint to assess the prediction of dynamic effects, potential convergence problems, the accuracy and stability of the calculations, the difference in computational time, and the influence of mass-scaling in the explicit formulation. The heel-strike phase of fast, normal and slow gait was simulated for two different body masses in a model of the native knee. Our results indicate that ignoring the dynamic effect can alter joint motion. Explicit analyses are suitable to simulate dynamic loading of the knee joint in high-speed simulations, as this method offers a substantial reduction of the computational time with a similar prediction of cartilage stresses and meniscus strains. Although mass-scaling can provide even more gain in computational time, it is not recommended for high-speed activities, in which inertial forces play a significant role.

    Original languageEnglish
    Pages (from-to)1123-1130
    Number of pages8
    JournalMedical engineering & physics
    Issue number10
    Publication statusPublished - 1 Oct 2016


    • Dynamic analysis
    • Explicit FEM
    • Finite element method
    • Implicit FEM
    • Knee joint
    • Mass scaling
    • 2023 OA procedure


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