### Abstract

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 language | English |
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Title of host publication | Proceedings of the 32nd Nordic Seminar on Computational Mechanics |

Editors | A.H. Niemi, H. Koivurova |

Pages | 124-126 |

ISBN (Electronic) | 978-952-62-2420-6 |

Publication status | Published - 18 Oct 2019 |

MoE publication type | B3 Non-refereed article in conference proceedings |

Event | Nordic Seminar on Computational Mechanics - Oulu, Finland Duration: 24 Oct 2019 → 25 Oct 2019 Conference number: 32 https://www.oulu.fi/construction/nscm32 |

### Publication series

Name | Raportti / Oulun yliopisto, Konetekniikka |
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Publisher | Oulun yliopisto |

Number | 9 |

ISSN (Print) | 2342-2599 |

### Seminar

Seminar | Nordic Seminar on Computational Mechanics |
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Abbreviated title | NSCM |

Country | Finland |

City | Oulu |

Period | 24/10/2019 → 25/10/2019 |

Internet address |

### Keywords

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

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## Cite this

Niiranen, J., Khakalo, S., & Balobanov, V. (2019). Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermo-elasticity. In A. H. Niemi, & H. Koivurova (Eds.),

*Proceedings of the 32nd Nordic Seminar on Computational Mechanics*(pp. 124-126). (Raportti / Oulun yliopisto, Konetekniikka ; No. 9).