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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