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  • Numerical procedures for nonlinear static and dynamic analyses of shell systems [Elektronski vir]
    Lavrenčič, Marko, 1992- ; Brank, Boštjan
    We study mixed(-hybrid) finite element formulations for shell-like structures, and implicit time-stepping schemes that preserve basic constants of the motion. The considered finite elements are based ... on large rotation inextensible-director shell model and rotation-less extensible-director shell model. The performance of the current state-of-the-art mixed(- hybrid) shell finite element formulations is assessed and some “near optimal” mixedhybrid shell finite element formulations are presented. They allow for large solution steps, show near optimal convergence characteristics and display little sensitivity to mesh distortion [1]. We critically compare implicit dynamic schemes that belong to the groups of generalizedα methods and energy-conserving/decaying and momentum-conserving methods [2]. We further assess how these features extend to nonlinear elasto-dynamics. Novel energyconserving/decaying and momentum-conserving schemes are derived for the previously introduced mixed-hybrid shell formulations [3]. The numerical examples demonstrate that the robustness and efficiency of the novel static formulations can be prolonged to dynamics. Finally, the ability of these schemes to handle complex buckling and post-buckling processes is assessed. It is demonstrated that controlled numerical dissipation of higher structural frequencies is necessary for an efficient simulation of a post-buckling response.
    Type of material - conference contribution ; adult, serious
    Publish date - 2022
    Language - slovenian
    COBISS.SI-ID - 151169027