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Article

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Title

Formulation and experimental validation of space-fractional Timoshenko beam model with functionally graded materials effects

Authors

[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ SzD ] doctoral school student | [ P ] employee

Scientific discipline (Law 2.0)

[2.7] Civil engineering and transport

Year of publication

2021

Published in

Computational Mechanics

Journal year: 2021 | Journal volume: vol. 68 | Journal number: iss. 3

Article type

scientific article

Publication language

english

Keywords
EN
  • Timoshenko beam
  • non-local model
  • fractional calculus
  • microbeam bending
Abstract

EN In this study, the static bending behaviour of a size-dependent thick beam is considered including FGM (Functionally Graded Materials) effects. The presented theory is a further development and extension of the space-fractional (non-local) Euler–Bernoulli beam model (s-FEBB) to space-fractional Timoshenko beam (s-FTB) one by proper taking into account shear deformation. Furthermore, a detailed parametric study on the influence of length scale and order of fractional continua for different boundary conditions demonstrates, how the non-locality affects the static bending response of the s-FTB model. The differences in results between s-FTB and s-FEBB models are shown as well to indicate when shear deformations need to be considered. Finally, material parameter identification and validation based on the bending of SU-8 polymer microbeams confirm the effectiveness of the presented model.

Date of online publication

13.03.2021

Pages (from - to)

697 - 708

DOI

10.1007/s00466-021-01987-6

URL

https://link.springer.com/article/10.1007/s00466-021-01987-6

License type

CC BY (attribution alone)

Open Access Mode

czasopismo hybrydowe

Open Access Text Version

final published version

Date of Open Access to the publication

in press

Full text of article

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Access level to full text

public

Ministry points / journal

140

Ministry points / journal in years 2017-2021

140

Impact Factor

4,391

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