Functionally graded graphene reinforced porous nanocomposite curved beams: Bending and elastic stability using a higher-order model with thickness stretch effect

Polit, O.; Anant, C.; Anirudh, B.; Ganapathi, M.

doi:10.1016/j.compositesb.2018.11.074

Cited by 123 publications

(23 citation statements)

References 65 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Curved beams are integral components widely used in aerospace, mechanical, and civil engineering structures such as circular truss antenna. Therefore, their thermomechanical analysis has always been of interest to engineers [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Structural responses of curved beams strongly depend on their curvatures, particularly for open curved beams.…”

Section: Introductionmentioning

confidence: 99%

“…It was verified that rapid surface heating of shallow arches may cause dynamic snap-through type of motion. Higher-order shear deformation theory was implemented and used by Polit et al [8] to examine the elastic stability responses of thick, functionally graded, porous, nanocomposite curved beams reinforced by graphene platelets. Based on their observations, dispersion and concentration of GPLs are two dominant factors that significantly influence the curved beam stiffness.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Large deformation behavior of functionally graded porous curved beams in thermal environment

et al. 2021

View full text Add to dashboard Cite

The in-plane thermoelastic response of curved beams made of porous materials with different types of functionally graded (FG) porosity is studied in this research contribution. Nonlinear governing equations are derived based on the first-order shear deformation theory along with the nonlinear Green strains. The nonlinear governing equations are solved by the aid of the Rayleigh–Ritz method along with the Newton–Raphson method. The modified rule-of-mixture is employed to derive the material properties of imperfect FG porous curved beams. Comprehensive parametric studies are conducted to explore the effects of volume fraction and various dispersion patterns of porosities, temperature field, and arch geometry as well as boundary conditions on the nonlinear equilibrium path and stability behavior of the FG porous curved beams. Results reveal that dispersion and volume fraction of porosities have a significant effect on the thermal stability path, maximum stress, and bending moment at the crown of the curved beams. Moreover, the influence of porosity dispersion and structural geometry on the central radial and in-plane displacement of the curved beams is evaluated. Results show that various boundary conditions make a considerable difference in the central radial displacements of the curved beams with the same porosity dispersion. Due to the absence of similar results in the specialized literature, this paper is likely to provide pertinent results that are instrumental toward a reliable design of FG porous curved beams in thermal environment.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Large deformation behavior of functionally graded porous curved beams in thermal environment

et al. 2021

View full text Add to dashboard Cite

show abstract

“…[ 26 ]. There are also performed studies in the literature related to mechanical behaviors of curved beams or arches considering the thickness stretching effect and size-dependent mechanisms [ 37 , 38 , 39 ]. With the advancement in using curved structures inside novel nanostructures [ 40 , 41 , 42 ], the application of the size-dependent effect in nanocomposite curved beams reinforced by GNPs was analyzed for bending, buckling and vibration responses, in Refs.…”

Section: Introductionmentioning

confidence: 99%

Elastic Wave Characteristics of Graphene Reinforced Polymer Nanocomposite Curved Beams Including Thickness Stretching Effect

et al. 2020

View full text Add to dashboard Cite

This work aims at analyzing elastic wave characteristics in a polymeric nanocomposite curved beam reinforced by graphene nanoplatelets (GNPs). GNPs are adopted as a nanofiller inside the matrix to enhance the effective properties, which are approximated through Halpin-Tasi model and a modified rule of mixture. A higher-order shear deformation theory accounting for thickness stretching and the general strain gradient model to have both nonlocality and strain gradient size-dependency phenomena are adopted to model the nanobeam. A virtual work of Hamilton statement is utilized to get the governing motion equations and is solved in conjunction with the harmonic solution procedure. A comparative study shows the effects of small-scale coefficients, opening angle, weight fraction, the total number of layers in GNPs, and wave numbers on the propagation of waves in reinforced nanocomposite curved beams. This work is also developed for two different distribution of GNPs in a polymeric matrix, namely uniformly distribution and functionally graded one.

show abstract

“…Ohga et al [21] analyzed the reduced stiffness buckling of the sandwich cylindrical shells under uniform external pressure and solved with FE method. Polit et al [22] studied the elastic stability and bending of FG graphene-reinforced porous nanocomposite curved beams applying HSDT with thickness stretch effect. Rizov [23] studied effect of local loading on failure of composite sandwich structures and Sankar et al [24] investigated the dynamic snap-through buckling response of carbon nanotube-reinforced sandwich spherical caps under suddenly applied pressure.…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of rectangular sandwich plates with functionally graded graphene-reinforced face layers

Shakouri

Mohseni

2020

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

The buckling analysis of a rectangular sandwich plate smoothly reinforced with multilayered graphene nanoplatelet is presented. The equations of equilibrium are extracted using the principle of minimum total potential energy and the first-order shear deformation theory for the thick sandwich plate. Different graphene distributions are considered through the thickness of the plate, and the rule of mixture is used to obtain the effective properties of the reinforced nanocomposite. To solve the equations, the Fourier series is employed to describe the displacement components and the boundary conditions are considered to be simply supported for all edges. The results are verified with available research, and the effects of some important parameters on the buckling load of the sandwich plate are studied.

show abstract

Functionally graded graphene reinforced porous nanocomposite curved beams: Bending and elastic stability using a higher-order model with thickness stretch effect

Cited by 123 publications

References 65 publications

Large deformation behavior of functionally graded porous curved beams in thermal environment

Large deformation behavior of functionally graded porous curved beams in thermal environment

Elastic Wave Characteristics of Graphene Reinforced Polymer Nanocomposite Curved Beams Including Thickness Stretching Effect

Buckling analysis of rectangular sandwich plates with functionally graded graphene-reinforced face layers

Contact Info

Product

Resources

About