Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermo-elasticity

Jarkko Niiranen, Sergei Khakalo, Viacheslav Balobanov

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientific


For three-dimensional cellular beam-and plate-like structures with a triangular microarchitecture, this conference contribution presents a family of two-scale beam and platemodels relying on the anisotropic form of Mindlin's strain gradient elasticitytheoryof form II. Acomputational homogenization method is adopted fordetermining the constitutive parameters of the related classical and higher-order constitutivetensors. Isogeometric conforming Galerkin methods areapplied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural modelsand numerical methods–in capturing the bending size effects induced by the microarchitecture, in particular.
Original languageEnglish
Title of host publicationProceedings of the 32nd Nordic Seminar on Computational Mechanics
EditorsA.H. Niemi, H. Koivurova
ISBN (Electronic)978-952-62-2420-6
Publication statusPublished - 18 Oct 2019
MoE publication typeB3 Non-refereed article in conference proceedings
EventNordic Seminar on Computational Mechanics - Oulu, Finland
Duration: 24 Oct 201925 Oct 2019
Conference number: 32

Publication series

NameRaportti / Oulun yliopisto, Konetekniikka
PublisherOulun yliopisto
ISSN (Print)2342-2599


SeminarNordic Seminar on Computational Mechanics
Abbreviated titleNSCM
Internet address


  • lattice microarchitecture
  • cellular structures
  • Euler-Bernoulli beam
  • Timoshenko beam
  • Kircchhoff plate
  • Reissner-Mindlin plate
  • size effects
  • Strain gradient thermoelasticity
  • isogeometric analysis


Dive into the research topics of 'Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermo-elasticity'. Together they form a unique fingerprint.

Cite this