Space-fractional small-strain plasticity model for microbeams including grain size effect
[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] pracownik
2022
artykuł naukowy
angielski
- non-local model
- fractional calculus
- elastic–plastic bending
- beam
EN Elastic–plastic bending of microstructure-dependent beams is analyzed, i.e., beams whose external dimensions and characteristic internal length are close. The formulations presented concern space-fractional Euler–Bernoulli (s-FEBB) and Timoshenko (s-FTB) beams, enriched by including the plastic properties of the material. The Huber–Mises–Hencky plasticity criterion and isotropic hardening are applied in the developed models. The incremental iterative numerical procedure is elaborated to solve the elastic–plastic bending problem. The analysis covers not only the scale effect but also the grain size-dependent strengthening described by the general Hall–Petch relation. Based on the experimental results of WC-Co micropillars compression available in the literature, model parameters are identified for specific microstructures. Significant results were found — it was revealed that the length scale could be directly correlated with the grain size. Finally, a numerical study of elastic–plastic bending of a fractional beam demonstrated how the microstructure affects the propagation of plastic hinges.
12.04.2022
103672-1 - 103672-12
Article Number: 103672
200
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