HAL CCSD
A nonlocal quasi-3D trigonometric plate model for free vibration behaviour of micro/nanoscale plates
Bessaim, Aicha
Houari, Mohammed Sid Ahmed
Bernard, Fabrice
Tounsi, Abdelouahed
Université Djilali Liabès [Sidi-Bel-Abbès]
Laboratoire de Génie Civil et Génie Mécanique (LGCGM) ; Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes) ; Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)
International audience
ISSN: 1225-4568
Structural Engineering and Mechanics
Techno-press Ltd
hal-01302345
https://univ-rennes.hal.science/hal-01302345
https://univ-rennes.hal.science/hal-01302345
Structural Engineering and Mechanics, 2015, 56 (2), pp.223--240. ⟨10.12989/sem.2015.56.2.223⟩
DOI: 10.12989/sem.2015.56.2.223
info:eu-repo/semantics/altIdentifier/doi/10.12989/sem.2015.56.2.223
en
bending analysis
boundary-conditions
elasticity theory
graded sandwich plates
graphene sheets
higher-order shear
nanoplates
navier solution
neutral surface position
nonlocal elasticity theory
normal deformation-theory
stretching effect
trigonometric shear deformation theory
Vibration
walled carbon nanotubes
wave-propagation
[SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph]
[SPI.GCIV]Engineering Sciences [physics]/Civil Engineering
info:eu-repo/semantics/article
Journal articles
In this work, a nonlocal quasi-3D trigonometric plate theory for micro/nanoscale plates is proposed. In order to introduce the size influences, the Eringen's nonlocal elasticity theory is utilized. In addition, the theory considers both shear deformation and thickness stretching effects by a trigonometric variation of all displacements within the thickness, and respects the stress-free boundary conditions on the top and bottom surfaces of the plate without considering the shear correction factor. The advantage of this theory is that, in addition to considering the small scale and thickness stretching effects (epsilon(z)not equal 0), the displacement field is modelled with only 5 unknowns as the first order shear deformation theory (FSDT). Analytical solutions for vibration of simply supported micro/nanoscale plates are illustrated, and the computed results are compared with the available solutions in the literature and finite element model using ABAQUS software package. The influences of the nonlocal parameter, shear deformation and thickness stretching on the vibration behaviors of the micro/ nanoscale plates are examined
2015-10