Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity

Jarkko Niiranen (Corresponding author), Sergei Khakalo, Viacheslav Balobanov

    Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientific


    For three-dimensional cellular beam- and plate-like structures with a triangular microarchitecture, this conference contribution presents a family of two-scale beam and plate models relying on the anisotropic form of Mindlin's strain gradient elasticity theory of form II. A computational homogenization method is adopted for determining the constitutive parameters of the related classical and higher-order constitutive tensors. Isogeometric conforming Galerkin methods are applied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural models and numerical methods – in capturing the bending size effects induced by the microarchitecture, in particular.
    Original languageEnglish
    Title of host publicationProceedings of NSCM 32
    Subtitle of host publicationThe 32nd Nordic Seminar on Computational Mechanics
    EditorsAntti H. Niemi, Hannu Koivurova
    PublisherUniversity of Oulu
    ISBN (Electronic)978-952-62-2420-6
    Publication statusPublished - Oct 2019
    MoE publication typeB3 Non-refereed article in conference proceedings
    Event32nd Nordic Seminar on Computational Mechanics, NSCM32 - Oulu, Finland
    Duration: 24 Oct 201925 Oct 2019

    Publication series

    SeriesUniversity of Oulu: Mechanical Engineering. Report


    Seminar32nd Nordic Seminar on Computational Mechanics, NSCM32
    Abbreviated titleNSCM32
    Internet address


    • Lattice microarchitecture
    • cellular structures
    • Euler–Bernoulli beam
    • Timoshenko beam
    • Kirchhoff plate
    • Reissner–Mindlin plate
    • size effects
    • Strain gradient thermoelasticity
    • isogeometric analysis


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