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 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 language | English |
|---|---|
| Title of host publication | Proceedings of NSCM 32 |
| Subtitle of host publication | The 32nd Nordic Seminar on Computational Mechanics |
| Editors | Antti H. Niemi, Hannu Koivurova |
| Publisher | University of Oulu |
| Pages | 124-126 |
| ISBN (Electronic) | 978-952-62-2420-6 |
| Publication status | Published - Oct 2019 |
| MoE publication type | B3 Non-refereed article in conference proceedings |
| Event | 32nd Nordic Seminar on Computational Mechanics, NSCM32 - Oulu, Finland Duration: 24 Oct 2019 → 25 Oct 2019 https://www.oulu.fi/construction/nscm32 |
Publication series
| Series | University of Oulu: Mechanical Engineering. Report |
|---|---|
| ISSN | 2342-2599 |
Seminar
| Seminar | 32nd Nordic Seminar on Computational Mechanics, NSCM32 |
|---|---|
| Abbreviated title | NSCM32 |
| Country | Finland |
| City | Oulu |
| Period | 24/10/19 → 25/10/19 |
| Internet address |
Keywords
- 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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Cite this
Niiranen, J., Khakalo, S., & Balobanov, V. (2019). Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity. In A. H. Niemi, & H. Koivurova (Eds.), Proceedings of NSCM 32: The 32nd Nordic Seminar on Computational Mechanics (pp. 124-126). University of Oulu. University of Oulu: Mechanical Engineering. Report https://www.oulu.fi/sites/default/files/content/NSCM32_Proceedings_not_archived.pdf