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Archive of Applied Mechanics

15-04-2024 | Original

Polynomial-exponential integral shear deformable theory for static stability and dynamic behaviors of FG-CNT nanobeams

Authors: Mokhtar Ellali, Mokhtar Bouazza, Ashraf M. Zenkour, Noureddine Benseddiq

Published in: Archive of Applied Mechanics

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Abstract

In this work, we are interested in studying bending, buckling stability, and dynamic behaviors of functionally graded nanobeams reinforced by carbon nanotubes (FG-CNTRC) by a novel shear deformation theory. This model is simple and efficient based on the new polynomial-exponential integral shear deformation theory including the effect of size taking into account the effects of the Winkler–Pasternak elastic foundations. The polynomial-exponential transverse shear function is incorporated to better represent a new displacement field that includes indeterminate integral terms. It is presumed that the material possessions of FG-CNTRC are diverse along the thickness direction employing distinct four distributions of carbon nanotubes (NT-CNTs). The nonlocal elasticity offered by Eringen is used to involve size effects in this approach. The impacts of numerous factors such as the volume fraction of CNTs, the nonlocality, and the impacts of the elastic foundation on the response of the FG-CNTRC beams are examined.

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Title: Polynomial-exponential integral shear deformable theory for static stability and dynamic behaviors of FG-CNT nanobeams
Authors: Mokhtar Ellali
Mokhtar Bouazza
Ashraf M. Zenkour
Noureddine Benseddiq
Publication date: 15-04-2024
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-024-02582-w

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