Elastostatic Bending of a 2d-FGSW Beam Under Nonuniform Distributed Loads

Chính, Nguyễn Văn; Inh, Le Cung; Anh, Le Thi Ngoc

doi:10.15625/2525-2518/57/3/13521

Cited by 3 publications

(2 citation statements)

References 40 publications

(49 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Substituting Eqs. (16)(17)(18) into Eq. ( 15) and employing Lagrange's principle, the equations of motions for a porous 2D FG beam can be derived from,…”

Section: Numerical Solution Using Femmentioning

confidence: 99%

“…Karamanli and Vo [16] investigated the flexural behaviour of 2D FG microbeams subjected to uniformly distributed load with various boundary conditions using FEM. Elasto-static bending behaviour of 2D FG sandwich beams under various types of nonuniform distributed load was studied by Nyugen et al [17]. Al-Zahrani et al [18] investigated the free vibration of 2D FG plane stress strip using finite element method.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Adıyaman,

TURAN

2023

Preprint

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

“…Substituting Eqs. (16)(17)(18) into Eq. ( 15) and employing Lagrange's principle, the equations of motions for a porous 2D FG beam can be derived from,…”

Section: Numerical Solution Using Femmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%