A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams

Bouafia, Khadra; Kaci, Abdelhakim; Houari, Mohammed Sid Ahmed; Benzair, Abdelnour; Tounsi, Abdelouahed

doi:10.12989/sss.2017.19.2.115

Cited by 97 publications

(27 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the analysis of the nano/micro structures, the aforementioned proposed theories have been utilized in conjunction with nonlocal theories (Ahouel et al, 2016; Bedia et al, 2015; Chaht et al, 2015). For instance, nonlocal trigonometric shear deformation theory (Besseghier et al, 2017), nonlocal quasi-3D theory (Bouafia et al, 2017), nonlocal zeroth-order shear deformation theory (Bellifa et al, 2017; Bounouara et al, 2016), and nonlocal refined four variable theory (Belkorissat et al, 2015) have been successfully applied to nano/micro shells and plates. A more detailed explanation on the related nonlocal theory have been discussed in Barretta et al (2016), Romano et al (2017), and Romano and Barretta (2016).…”

Section: Introductionmentioning

confidence: 99%

Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media

Shojaeefard

Googarchin

Mahinzare

et al. 2018

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

This article investigates free vibration of a functionally graded piezomagnetic material cylindrical nanoshell embedded in viscoelastic media under rotational, external electric and magnetic loadings. The governing equations of the nanoshell are derived based on Eringen’s nonlocal theory. It is found that, magnetic and piezoelectric properties of the structure change exponentially along the thickness. The rotational loading is calculated considering initial hoop tension. The results are obtained by applying generalized differential quadrature method to the governing equations and associated boundary conditions. Results also include those achieved for clamped-clamped and simply hinged-hinged boundary conditions. It is found that free vibration characteristics of functionally graded piezomagnetic material cylindrical nanoshell are influenced by several factors including angular velocity, length scale parameter, external voltage, external amperage, functionally graded power index, and viscoelastic media parameters.

show abstract

Section: Introductionmentioning

confidence: 99%

Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media

Shojaeefard

Googarchin

Mahinzare

et al. 2018

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

show abstract

“…Aldousari [52] studied the bending analysis of different material distributions in a functionally graded beam. Bouafia et al [53] developed a non-local quasi-3D theory to study the behavior of the free bending of nano-beams in functionally graded materials. Zidi et al [54] have proposed a new simple two-unknown theory for studying the hyperbolic shear deformation of beams in functionally graded materials.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory

Hebbar

Ouinas

et al. 2020

Frattura Ed Integrità Strutturale

View full text Add to dashboard Cite

The objective of this work is to analyze the behavior beams functionally graded, simply supported, under different conditions such as bending, buckling, and vibration and this by use shear deformation theories a two-dimensional (2D) and quasi-three-dimensional (quasi-3D). The proposed theories take into account a new field of displacement which includes indeterminate whole terms and contains fewer unknowns, compared to other theories of the literature; by taking account of the effects of the transverse shears and the thickness stretching. In this theory, the distribution of the transverse shear stress is hyperbolic and satisfies the boundary conditions on the upper and lower surfaces of the beam without the need for a shear correction factor. In this type of beam the properties of the materials vary according to a distribution of the volume fraction, the Hamilton principle is used to calculate the equations of motion, and in order to check the accuracy of the theory used comparison is made with the studies existing in the literature.

show abstract

“…However, this approach considers only the softening enhancement of the size-dependence in nanostructured systems. Bouafia et al [22] analyzed the bending and vibration response of FG nanobeams via a nonlocal quasi-3D theory. Shahsavari et al [23] studied the forced vibration of viscoelastic graphene sheet under the moving load using a nonlocal refined plate theory.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Buckling Analysis of Composite Curved Beams Reinforced with Functionally Graded Carbon Nanotubes

et al. 2019

View full text Add to dashboard Cite

This work deals with the size-dependent buckling response of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) (FG-CNTRC) curved beams based on a higher-order shear deformation beam theory in conjunction with the Eringen Nonlocal Differential Model (ENDM). The material properties were estimated using the rule of mixtures. The Hamiltonian principle was employed to derive the governing equations of the problem which were, in turn, solved via the Galerkin method to obtain the critical buckling load of FG-CNTRC curved beams with different boundary conditions. A detailed parametric study was carried out to investigate the influence of the nonlocal parameter, CNTs volume fraction, opening angle, slenderness ratio, and boundary conditions on the mechanical buckling characteristics of FG-CNTRC curved beams. A large parametric investigation was performed on the mechanical buckling behavior of FG-CNTRC curved beams, which included different CNT distribution schemes, as useful for design purposes in many practical engineering applications.

show abstract

A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams

Cited by 97 publications

References 0 publications

Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media

Vibration and buckling analysis of a rotary functionally graded piezomagnetic nanoshell embedded in viscoelastic media

Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory

Nonlocal Buckling Analysis of Composite Curved Beams Reinforced with Functionally Graded Carbon Nanotubes

Contact Info

Product

Resources

About