A new higher-order shear and normal deformation theory for functionally graded sandwich beams

Bennai, Riadh; Atmane, Hassen Ait; Tounsi, Abdelouahed

doi:10.12989/scs.2015.19.3.521

Cited by 74 publications

(21 citation statements)

References 43 publications

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“…where A11, A12 and A22 are respectively the extensional, extensional-bending coupling and bending rigidities, defined as 2 11 12 22…”

Section: Functionally Graded Beammentioning

confidence: 99%

“…Sallai et al [10] presented an analytical solution for bending analysis of a FGM beam. A new refined hyperbolic shear and normal deformation beam theory was proposed for studying the free vibration and buckling of FGM sandwich beams [11]. Vibration analysis of FGM beams under moving loads, the topic of this paper, has been considered by several authors recently.…”

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confidence: 99%

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Effect of temperature and porosities on dynamic response of functionally graded beams carrying a moving load

Bui¹

2017

Sci. Tech. Dev. J.

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The effect of temperature and porosities on the dynamic response of functionally graded beams carrying a moving load is investigated. Uniform and nonlinear temperature distributions in the beam thickness are considered. The material properties are assumed to be temperature dependent and they are graded in the thickness direction by a power-law distribution. A modified rule of mixture, taking the porosities into consideration, is adopted to evaluate the effective material properties. Based on Euler-Bernoulli beam theory, equations of motion are derived and they are solved by a finite element formulation in combination with the Newmark method. Numerical results show that the dynamic amplification factor increases by the increase of the temperature rise and the porosity volume fraction. The increase of the dynamic amplification factor by the temperature rise is more significant by the uniform temperature rise and for the beam associated with a higher grading index.

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“…where A11, A12 and A22 are respectively the extensional, extensional-bending coupling and bending rigidities, defined as 2 11 12 22…”

Section: Functionally Graded Beammentioning

confidence: 99%

mentioning

confidence: 99%

Effect of temperature and porosities on dynamic response of functionally graded beams carrying a moving load

Bui¹

2017

Sci. Tech. Dev. J.

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“…The thickness stretching effect is then included into the theory by the authors in the analysis of FGSW beams [5]. A hyperbolic shear deformation beam theory was used by Bennai et al [6] to study free vibration and buckling of FGSW beams. Trinh et al [7] evaluated the fundamental frequencies of FGSW beams by using the state space approach.…”

Section: Introductionmentioning

confidence: 99%

Vibration of FGSW Beams Under Nonuniform Motion of Moving Load Using an Efficient Third-Order Shear Deformation Finite Element Formulation

Le¹,

Nguyen²

2020

JST

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Vibration of functionally graded sandwich (FGSW) beams under nonuniform motion of a moving load is studied using a third-order shear deformation finite element formulation. The beams consists three layers, a homogeneous ceramic core and two functionally graded faces. Instead of the rotation, the finite element formulation is derived by using the transverse shear rotation as a unknown. Newmark method is used to compute the dynamic response of the beams. Numerical result reveals that the derived formulation is efficient, and it is capable to give accurate vibration characteristics by a small number of the elements. A parametric study is carried out to illustrate the effects of the material distribution, layer thickness ratio and moving load speed on the dynamic behavior of the beams. The influence of acceleration and deceleration of the moving load on the vibration of the beams is also examined and discussed.

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“…Therefore, using porous materials in the structural applications (e.g. as a core in three-layered panels), a knowledge about their mechanical behaviour on both a micro-and a macroscopic scale is necessary [13] and more advanced analyses and tests are needed [2,12,19]. In that case, the set of parameters required by material model reflect the need for numerous experimental tests.…”

Section: Introductionmentioning

confidence: 99%

Effect of Foam’s Heterogeneity on the Behaviour of Sandwich Panels

Chuda-Kowalska

2019

Civil and Environmental Engineering Reports

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This study aimed to develop a knowledge about material parameters identification of the foam core and numerical modelling of the sandwich panels to accurately predict the behaviour of this kind of structures. The polyisocyanurate foam (PIR) with low density used in sandwich panels dedicated to civil engineering is examined in the paper. A series of experiments (tensile, compression and bending tests) were carried out to identify its mechanical parameters. To determine the heterogeneity of analysed foam a Digital Image Correlation (DIC) technique, named Aramis, is applied in the paper. The results obtained from FE analyses are compared with the experimental results on full-size plates carried out by the author and proper conclusions are drawn.

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A new higher-order shear and normal deformation theory for functionally graded sandwich beams

Cited by 74 publications

References 43 publications

Effect of temperature and porosities on dynamic response of functionally graded beams carrying a moving load

Effect of temperature and porosities on dynamic response of functionally graded beams carrying a moving load

Vibration of FGSW Beams Under Nonuniform Motion of Moving Load Using an Efficient Third-Order Shear Deformation Finite Element Formulation

Effect of Foam’s Heterogeneity on the Behaviour of Sandwich Panels

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