Bending Analysis of Curved Sandwich Beams with Functionally Graded Core

Fereidoon, Abdolhossein; Andalib, Mohammad Saied; Hemmatian, Hossein

doi:10.1080/15376494.2013.828815

Cited by 26 publications

(5 citation statements)

References 32 publications

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“…Osofero et al [27] developed higher order shear deformation theories considering the effects of thickness stretching on bending behavior of simply supported functionally graded sandwich beams. Fereidoon et al [28] have studied bending analysis of curved sandwich beams with FG core. Authors have modeled the face sheets using CBT and the core using HSDT.…”

Section: Introductionmentioning

confidence: 99%

On the static deformation of FG sandwich beams curved in elevation using a new higher order beam theory

Avhad

Sayyad

2020

Sādhanā

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This article presents the static analysis of FG sandwich beams curved in elevation. Navier-type semi-analytical solutions are obtained based on polynomial type fifth order shear and normal deformation theory. The beam has FG skins and isotropic core. Material properties of FG skins are graded in z-direction according to the power-law distribution. The present theory accounts for a fifth-order distribution of axial displacement and fourth-order distribution of transverse displacement. The present theory considers the effect of thickness stretching and gives a realistic variation of transverse shear stress through the thickness of the beam. The governing equations are obtained within the framework of the principle of virtual work. Semi-analytical static solutions for the simply supported FG sandwich beams curved in elevation are obtained using Navier's technique. The beam is subjected to uniformly distributed load. The non-dimensional numerical values for displacements and stresses are obtained for various power-law index and thickness of the core. The present results are found in good agreement with previously published results.

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Section: Introductionmentioning

confidence: 99%

On the static deformation of FG sandwich beams curved in elevation using a new higher order beam theory

Avhad

Sayyad

2020

Sādhanā

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“…Fereidoon et al examined the bending of a curve FGS beam. The used the Euler-Bernoulli beam model for modeling and computed beam deformation for the variation of variable Young's modulus [29].…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of functionally graded sandwich cylindrical micro/nanoshells based on the couple stress theory

Zeighampour

Shojaeian

2017

Jnl of Sandwich Structures & Materials

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Buckling of functionally graded sandwich cylindrical microshell under axial load is investigated. For this purpose, Donnell shell theory as well as material length scale parameter as considered by the couple stress theory is used, and equations of motion of the functionally graded sandwich cylindrical microshell along with boundary conditions are developed using Hamilton’s principle. Finally, dimensionless critical buckling load is determined for three functionally graded sandwich cylindrical microshells using the Navier procedure. Results of the new model are compared with the classical theory. The results indicate that the rigidity of the functionally graded sandwich cylindrical microshell in the couple stress theory is higher than that in the classical theory, which leads to increased dimensionless critical buckling load. Besides, the effect of material length scale parameter on dimensionless critical buckling load of the functionally graded sandwich cylindrical microshell in different wavenumbers is considerable.

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“…Using finite elements method, Vo et al [29] studied the vibration and buckling of FGS beam for different boundary conditions. Fereidoon et al [30] investigated the bending of a curved FGS beam by using Euler-Bernoulli beam for modeling. They computed the beam deflection for the variations of Young's modulus.…”

Section: Introductionmentioning

confidence: 99%

Size-dependent vibration of sandwich cylindrical nanoshells with functionally graded material based on the couple stress theory

Zeighampour

Shojaeian

2017

J Braz. Soc. Mech. Sci. Eng.

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Vibration of functionally graded sandwich (FGS) cylindrical nanoshell is investigated. For this purpose, the first shear deformable shell theory as well as material length scale parameter as considered by the couple stress theory is used, and Hamilton's principle is employed to derive the equations of motion of the FGS cylindrical nanoshell and the boundary conditions. In the end, using Navier solution, the natural frequency is determined for three types of FGS cylindrical nanoshells. Results of the new model are compared with the classical theory. According to the results, the rigidity of the FGS cylindrical nanoshell in the couple stress theory is higher than that in the classical theory, which leads to increased natural frequency. Besides, the effect of the material length scale parameter on natural frequency of the FGS cylindrical nanoshell in different wavenumbers and lengths is considerable.

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Bending Analysis of Curved Sandwich Beams with Functionally Graded Core

Cited by 26 publications

References 32 publications

On the static deformation of FG sandwich beams curved in elevation using a new higher order beam theory

On the static deformation of FG sandwich beams curved in elevation using a new higher order beam theory

Buckling analysis of functionally graded sandwich cylindrical micro/nanoshells based on the couple stress theory

Size-dependent vibration of sandwich cylindrical nanoshells with functionally graded material based on the couple stress theory

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