A closed-form solution for accurate stress analysis of functionally graded Reddy beams

Ruocco, Eugenio; Reddy, J. N.

doi:10.1016/j.compstruct.2023.116676

Cited by 9 publications

(1 citation statement)

References 39 publications

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“…Aydogdu and Taskin [4] presented free vibration of simply supported 1D FG beams using a Navier type solution method. A closed-form solution of the Reddy beam theory was developed and applied to investigate the bending behaviour of straight and curved 1D FG beams by Ruocco and Reddy [5].…”

Section: Introductionmentioning

confidence: 99%

Bending and Buckling Analysis of Porous 2D Functionally Graded Beams with Exponential Material Property Variation

Adıyaman,

TURAN

2023

Preprint

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The bending and buckling analysis of porous two-directional (2D) functionally graded (FG) beams was conducted using a higher-order shear deformation theory (HSDT). The introduction of exponential functions to depict changes in material properties is a novel approach in the static analysis of 2D FG beams. Three distinct porosity distribution functions were taken into account. The governing equations were formulated through the application of Lagrange’s principle. During the numerical analysis, a finite element comprising two nodes and eight degrees of freedom (DOFs) was utilized. This choice facilitated accurate and efficient solutions, even for shorter beams, without the need for a shear correction factor. Notably, the obtained shear stresses aligned with actual values, registering as zero at both the top and bottom of the beam. The obtained results of the study were validated against findings reported in the literature. A parametric study was carried out to investigate the effects of porosity, porosity distributions, gradation parameters, slenderness, and boundary conditions on the non-dimensional deflections, stresses, critical buckling loads, and buckling mode shapes. It was found that both porosity and the distribution of porosity have noticeable effects on the static analysis of the beams.

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Section: Introductionmentioning

confidence: 99%

Bending and Buckling Analysis of Porous 2D Functionally Graded Beams with Exponential Material Property Variation

Adıyaman,

TURAN

2023

Preprint

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Analytical solution for wave propagation problem of thermo-magnetically affected sigmoid FG bio-composite beams

Ge,

Cao,

et al. 2024

Acta Mech

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Bending and Buckling Analysis of Porous 2D Functionally Graded Beams with Exponential Material Property Variation

Adiyaman,

Turan

2024

Iran J Sci Technol Trans Civ Eng

View full text Add to dashboard Cite

The bending and buckling analysis of porous two-directional (2D) functionally graded (FG) beams was conducted using a higher-order shear deformation theory (HSDT). The introduction of exponential functions to depict changes in material properties is a novel approach in the static analysis of 2D FG beams. Three distinct porosity distribution functions were taken into account. The governing equations were formulated through the application of Lagrange's principle. During the numerical analysis, a finite element comprising two nodes and eight degrees of freedom (DOFs) was utilized. This choice facilitated accurate and efficient solutions, even for shorter beams, without the need for a shear correction factor. Notably, the obtained shear stresses aligned with actual values, registering as zero at both the top and bottom of the beam. The obtained results of the study were validated against findings reported in the literature. A parametric study was carried out to investigate the effects of porosity, porosity distributions, gradation parameters, slenderness, and boundary conditions on the non-dimensional deflections, stresses, critical buckling loads, and buckling mode shapes. It was found that both porosity and the distribution of porosity have noticeable effects on the static analysis of the beams.

show abstract

A closed-form solution for accurate stress analysis of functionally graded Reddy beams

Cited by 9 publications

References 39 publications

Bending and Buckling Analysis of Porous 2D Functionally Graded Beams with Exponential Material Property Variation

Bending and Buckling Analysis of Porous 2D Functionally Graded Beams with Exponential Material Property Variation

Analytical solution for wave propagation problem of thermo-magnetically affected sigmoid FG bio-composite beams

Bending and Buckling Analysis of Porous 2D Functionally Graded Beams with Exponential Material Property Variation

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