A novel quadrilateral element for analysis of functionally graded porous plates/shells reinforced by graphene platelets

Ton-That, Hoang Lan; Nguyen‐Van, Hieu; Chau-Dinh, Thanh

doi:10.1007/s00419-021-01893-6

Cited by 23 publications

(8 citation statements)

References 105 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The fabrication issues of these structures represent a challenging aspect for many practical applications. A novel quadrilateral element was proposed by Ton-That et al [ 21 ], in line with the FSDT and Chebyshev polynomials, to analyze FG-GPL porous plates/shells. In addition, a variational differential quadrature (VDQ) was proposed by Ansari et al [ 22 ] for solving the free-vibration response of post-buckled, arbitrarily shaped porous plates made of FG-GPL nanocomposites, based upon a third-order shear deformation theory (TSDT).…”

Section: Introductionmentioning

confidence: 99%

Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

et al. 2023

View full text Add to dashboard Cite

The buckling response of functionally graded (FG) porous spherical caps reinforced by graphene platelets (GPLs) is assessed here, including both symmetric and uniform porosity patterns in the metal matrix, together with five different GPL distributions. The Halpin–Tsai model is here applied, together with an extended rule of mixture to determine the elastic properties and mass density of the selected shells, respectively. The equilibrium equations of the pre-buckling state are here determined according to a linear three-dimensional (3D) elasticity basics and principle of virtual work, whose solution is determined from classical finite elements. The buckling load is, thus, obtained based on the nonlinear Green strain field and generalized geometric stiffness concept. A large parametric investigation studies the sensitivity of the natural frequencies of FG porous spherical caps reinforced by GPLs to different parameters, namely, the porosity coefficients and distributions, together with different polar angles and stiffness coefficients of the elastic foundation, but also different GPL patterns and weight fractions of graphene nanofillers. Results denote that the maximum and minimum buckling loads are reached for GPL-X and GPL-O distributions, respectively. Additionally, the difference between the maximum and minimum critical buckling loads for different porosity distributions is approximately equal to 90%, which belong to symmetric distributions. It is also found that a high weight fraction of GPLs and a high porosity coefficient yield the highest and lowest effects of the structure on the buckling loads of the structure for an amount of 100% and 12.5%, respectively.

show abstract

Section: Introductionmentioning

confidence: 99%

Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

et al. 2023

View full text Add to dashboard Cite

show abstract

“…Static and frequency responses of FG plates are evaluated using HSDT, 5 Third-order shear deformation theory (TSDT), 6 first-order shear deformation theory (FSDT) 7 and porous FG plates using 3D elasticity theory. 8 NDFR of FG plates are analysed [9][10][11][12] using FSDT and VKNST. A nonlocal strain gradient theory is adopted for the nonlinear bending analysis of FG beams without porosity 13 and with porosity.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear static and dynamic (deflection/stress) responses of porous functionally graded shell panel and experimental validation

Ramteke

Panda

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

The static and dynamic characteristics of functionally graded (FG) structures have been investigated in this article, considering full geometrical nonlinearity. The finite element (FE) solutions are obtained for the graded panel by modelling through higher-order kinematics (HSDT) and Green-Lagrange strain-displacement relations (GLNST). The desired graded panel properties are obtained through Voigt’s micromechanical approach, considering different grading patterns (exponential, EPL; sigmoid, SGM and power law, POL). Additionally, to maintain the generality of the graded structure, different porosity distribution types (even and uneven, EVP and UEP) are incorporated into the proposed mathematical model. Further, the numerical solutions are obtained using Newmark’s method’s direct iterative technique and constant integration steps. The solution sensitivities are verified for the developed algorithm via adequate convergence and comparison tests. In addition, the experimental validation is performed using the layerwise fabricated luffa-fibre reinforced FG plates to validate the proposed theoretical model’s accuracy. Lastly, the responses are computed using the newly derived model for the variable design-dependent parameters associated with the FG structural geometry and properties. The final deliverables, that is the nonlinear deflection responses (NDFR)/stress values, are discussed under mechanical loadings (static and dynamic).

show abstract

“…Zhou et al 25 performed vibration and flutter analyses for FG-GPLs reinforced porous cylindrical panels under supersonic flow by employing Reddy's HSDT. Ton et al 26 employed Chebyshev polynomials to determine vibration responses of FG curved panels (flat and curved) with GPLs reinforcement using a novel 4-nodded quadrilateral element (i.e., SQ4P). Moreover, several remarkable studies also performed by Wang et al [27][28][29][30][31][32] and Amirabadi et al [33][34][35] to accomplish the wave propagation, free and forced vibration analyses of various GPLs reinforced FG-porous plates and shells.…”

Section: Introductionmentioning

confidence: 99%

On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

Shakir

Talha

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

The present study explores the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions. The material uncertainty is considered in the parameters associated with constituents that is, metal and graphene nanoplatelets (GPLs) individually and simultaneously. The metal matrix is reinforced with ultra-lightweight and high stiffness carbonaceous nanofiller, that is, GPLs. Halpin-Tsai micromechanics model is adopted to estimate effective Young’s modulus of the metal-GPLs composite whereas effective mass density and Poisson’s ratio are calculated using the Voigt model. The micro-structural gradation by creating pores is accomplished along the thickness direction of the panel employing certain continuous functions. These functions describe symmetric and asymmetric porosity distributions and associated patterns of GPLs. The equation of motion is developed using Euler-Lagrange’s equation which is based on C0-continuous structural kinematics with 7 degrees of freedom. Finite element modeling in conjunction with the first-order perturbation technique has been applied to quantify the stochastic natural frequency in terms of the mean and standard deviation of the natural frequency. Various results have been examined to highlight the influence of parameters especially related to porosity, and graphene nanoplatelets on the stochastic natural frequency of FG-GPLs porous panel constrained with conventional and unconventional boundary conditions.

show abstract

A novel quadrilateral element for analysis of functionally graded porous plates/shells reinforced by graphene platelets

Cited by 23 publications

References 105 publications

Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

Nonlinear static and dynamic (deflection/stress) responses of porous functionally graded shell panel and experimental validation

On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

Contact Info

Product

Resources

About