New Quasi-3D Hyperbolic Shear Deformation Theory for the Static and Free Vibration Analysis of Functionally Graded Plates

Hebali, Habib; Tounsi, Abdelouahed; Houari, Mohammed Sid Ahmed; Bessaim, Aicha; Bedia, E.A. Adda

doi:10.1061/(asce)em.1943-7889.0000665

Cited by 330 publications

(98 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The material properties of FGMs can be tailored to meet the requirements in various working conditions. The mechanical behaviours of FGM structures have been extensively studied over the past decades, such as [16][17][18][19][20][21][22][23], among many others. In order to effectively make use of a low content of graphene, Song et al [24] proposed the functionally graded multilayer graphene nanocomposite in which the graphene reinforcements are nonuniformly distributed in a layer-wise manner in the thickness direction, and found that the free and forced vibration performances of polymer nanocomposite plates can be further enhanced by distributing more GPLs near the top and bottom surfaces of the plate.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates

2017

View full text Add to dashboard Cite

This paper deals with the thermal buckling and postbuckling of functionally graded multilayer nanocomposite plates reinforced with a low content of graphene platelets (GPLs). It is assumed that GPL reinforcements are randomly oriented and uniformly dispersed in each individual GPL-reinforced composite (GPLRC) layer but the concentration follows a layerwise variation across the plate thickness. The modified Halpin-Tsai micromechanics model that takes into account the GPL geometry effect is adopted to estimate the effective Young's modulus of GPLRC layers. Within the framework of the first-order shear deformation theory, the nonlinear governing equations are derived by applying the principle of virtual displacements and then solved by using a differential quadrature-based iteration technique. Parametric studies are conducted to examine the influences of GPL distribution pattern, concentration and geometry, as well as in-plane force on the thermal buckling and postbuckling behaviours. Our results show that distributing more GPLs near the surface layers is capable of reinforcing the thermal buckling and postbuckling performances of GPLRC plates. Whether the thermal buckling and postbuckling resistance increases or decreases with the increases in GPL weight fraction, aspect ratio and width-to-thickness ratio is highly dependent on the GPL distribution pattern.

show abstract

Section: Accepted Manuscriptmentioning

confidence: 99%

Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates

2017

View full text Add to dashboard Cite

show abstract

“…This material group is gaining in importance, so that in this area mechanical modeling is also driven forward (Belabed et al 2014;Hebali et al 2014). Thus the presented methodology is also of interest for materials from the designated area, in addition to the veneer-processing industry for many other industries.…”

Section: Introductionmentioning

confidence: 99%

Material Testing of Decorative Veneers and Different Approaches for Structural-Mechanical Modelling: Walnut Burl Wood and Multilaminar Wood Veneer

Dietzel¹,

Raßbach²,

Krichenbauer³

2016

BioResources

View full text Add to dashboard Cite

A methodology is presented for the determination of elastic material properties on laminated and non-laminated decorative veneers of a variety of wood types. For the uniaxial tensile tests performed, at various temperatures and wood moisture values, the metrological challenges as well as the test results are described and discussed. Subsequently, the characteristic values are transferred into corresponding material models. Also, as the inverse, model-based determination of characteristic values that cannot be determined experimentally is carried out.

show abstract

“…In addition, there are quite a few papers about experimentally measuring elastic constants of FGM and nanowire materials. Thereinto, the theory of hyperbolic sine shear deformation was applied to analyzing static bending and free vibration of FGM (Hebali et al 2014). In another paper (Bouderba et al 2013), the theory of trigonometric shear deformation was applied to describing the distribution of transverse shear stress and predicting the thermomechanical bending response of functionally graded plates for FGM.…”

Section: Introductionmentioning

confidence: 99%

Measurement of the Poisson’s Ratio of Materials Based on the Bending Mode of the Cantilever Plate

et al. 2016

View full text Add to dashboard Cite

Principles and methods to dynamically test the Poisson's ratio of isotropic material and timber are proposed in this work. Five species of lumbers were processed into cantilever plates of tangential, radial, and cross sections with different length-width ratios of 6, 5, 4, and 3. The "Shell 63" element in ANSYS software was adopted to calculate strain and stress under the first-order bending mode. The paste position of the strain rosette for the Poisson's ratio of timber was obtained through strain-stress relationship and regression analysis under states of stress, strain analysis, and plane stress. This method was also applied to steel, aluminum, and glass. For both isotropic and orthotropic materials such as timber, the paste positions of the strain rosette were determined by the position where transverse stress within the plate was zero during the first-order bending vibration. Meanwhile, the lateral and longitudinal strains of the spectrum were measured using the transient excitation method. In the spectrum, the ratio of linear amplitude between the lateral and longitudinal strain of the first-order bending frequency was taken as the measured value of the Poisson's ratio of the material. The accuracy of the results was verified by axial tension and static four-point bending tests.

show abstract

New Quasi-3D Hyperbolic Shear Deformation Theory for the Static and Free Vibration Analysis of Functionally Graded Plates

Cited by 330 publications

References 30 publications

Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates

Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates

Material Testing of Decorative Veneers and Different Approaches for Structural-Mechanical Modelling: Walnut Burl Wood and Multilaminar Wood Veneer

Measurement of the Poisson’s Ratio of Materials Based on the Bending Mode of the Cantilever Plate

Contact Info

Product

Resources

About