Bending and Free Vibration Analysis of Functionally Graded Sandwich Plates with porosity using Higher-Order Shear Deformation Theory

Authors

  • Lan Hoang Ton-That Faculty of Civil Engineering, University of Architecture Ho Chi Minh City, Vietnam

DOI:

https://doi.org/10.24191/jaeds.v4i2.87

Keywords:

Sandwich plate, functionally graded material, porosity, finite element analysis

Abstract

In this paper, for the first time, the bending and free vibration analysis of porous functionally graded sandwich (PFGS) plates is investigated using a higher-order shear deformation theory (HSDT) C0 type and finite element model. This construction consists of a single homogenous ceramic core and two distinct functionally graded skins. The mechanical results related to bending and free vibration behaviours of it are searched using the Matlab software. The other plates with different materials or arbitrary forms can use this code as well in the future. To verify the procedure's potential of use, the study's findings are contrasted with those of previous studies in the literature. Additionally, the effects of a number of parameters on the bending and vibration of PFGS plates are provided, including the porosity factor, volume fraction index, and geometric ratio. These results show that the distribution of porosity plays a significant role in the mechanical properties of PFGS plates.

Downloads

Download data is not yet available.

References

J. Kim and J. N. Reddy, "Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory," Compos Struct, vol. 103, pp. 86-98, 2013.

K. Swaminathan and D. T. Naveenkumar, "Higher order refined computational models for the stability analysis of FGM plates – Analytical solutions," Eur J Mech A-Solid, vol. 47, pp. 349-361, 2014.

S. J. Singh and S. P. Harsha, "Thermo-mechanical analysis of porous sandwich S-FGM plate for different boundary conditions using Galerkin Vlasov's method: A semi-analytical approach," Thin Wall Struct, vol. 150, p. 106668, 2020.

N. Magouh, L. Azrar and K. Alnefae, "Semi-analytical solutions of static and dynamic degenerate, nondegenerate and functionally graded electro-elastic multilayered plates," Appl Math Model, vol. 111, pp. 722-744, 2023.

G. Shi, "A new simple third-order shear deformation theory of plates," Int J Solids Struct, vol. 44, pp. 4399-4417, 2007.

A. M. Katili and I. Katili, "Improving Felippa Bergan Triangular element by using UI approach for analysis of isotropic and FGM sandwich plates," Compos Struct, vol. 312, p. 116823, 2023.

S. Pandey and S. Pradyumna, "Analysis of functionally graded sandwich plates using a higher-order layerwise theory," Compos Part B-Eng, vol. 153, pp. 325-336, 2018.

M. D. Sciuva and M. Sorrenti, " Bending, free vibration and buckling of functionally graded carbon nanotube-reinforced sandwich plates, using the extended Refined Zigzag Theory," Compos Struct, vol. 227, p. 111324, 2019.

M. Dorduncu, "Stress analysis of sandwich plates with functionally graded cores using peridynamic differential operator and refined zigzag theory," Thin Wall Struct, vol. 146, p. 106468, 2020.

J. L. Mantari and E. V. Granados, "A refined FSDT for the static analysis of functionally graded sandwich plates," Thin Wall Struct, vol. 90, pp. 150-158, 2015.

H. L. Ton-That, "Finite element analysis of functionally graded skew plates in thermal environment based on the new third-order shear deformation theory," J Appl Comput Mech, vol. 6, pp. 1044-1057, 2020.

N. Wattanasakulpong, G. B. Prusty and D. W. Kelly, "Free and forced vibration analysis using improved third-order shear deformation theory for functionally graded plates under high temperature loading," J Sandw Struct Mater, vol. 15, pp. 583-606, 2013.

A. M. Zenkour, "A comprehensive analysis of functionally graded sandwich plates: Part 1 Deflection and stresses," Int J Solids Struct, vol. 42, pp. 5224–5242, 2005.

A. M. Zenkour, "A comprehensive analysis of functionally graded sandwich plates: Part 2 buckling and free vibration," Int J Solids Struct, vol. 42, pp. 5243–5258, 2005.

B. L. Liu, S. Li and Y. S. Li, "Bending of FGM sandwich plates with tunable auxetic core using DQM," Eur J Mech A-Solid, vol. 97, p. 104838, 2023.

S. S. Tomar and M. Talha, "Influence of material uncertainties on vibration and bending behaviour of skewed sandwich FGM plates," Compos Part B-Eng, vol. 163, pp. 779-793, 2019.

M. M. Alipour and M. Shariyat, "Analytical stress analysis of annular FGM sandwich plates with non-uniform shear and normal tractions, employing a zigzag-elasticity plate theory," Aerosp Sci Technol, vol. 32(1), pp. 235-259, 2014.

N. N. Beni and M. B. Dehkordi, "An extension of Carrera unified formulation in polar coordinate for analysis of circular sandwich plate with FGM core using GDQ method," Compos Struct, vol. 185, pp. 421-434, 2018.

F. Moleiro, V. M. F. Correia, A. J. M. Ferreira and J. N. Reddy, "Fully coupled thermo-mechanical analysis of multilayered plates with embedded FGM skins or core layers using a layerwise mixed model," Compos Struct, vol. 210, pp. 971-996, 2019.

D. Li, Z. Deng, H. Xiao and P. Jin, "Bending analysis of sandwich plates with different face sheet materials and functionally graded soft core," Thin Wall Struct, vol. 122, pp. 8-16, 2018.

A. Alibeigloo and M. Alizadeh, "Static and free vibration analyses of functionally graded sandwich plates using state space differential quadrature method," Eur J Mech A-Solid, vol. 54, pp. 252-266, 2015.

D. P. Bhaskar, S. V. Bhaskar, S. S. Raj and L. S. Dhamande, "Numerical investigation of sandwich plate in bending by a new inverse shear deformation theory based on finite element analysis," Forces Mech., vol. 13, p. 100238, 2023.

L. H. T. That, "Four-node quadrilateral C0-element based on cell-based smoothed strains strategy and third-order shear deformation theory for functionally graded carbon nanotube reinforced composite plates," Raken. Mek., vol. 56(1), p. 1-23, 2023.

H. L. Ton-That, "Plate structural analysis based on a double interpolation element with arbitrary meshing," Acta Mech. et Autom., vol. 15(2), pp. 91-99, 2021.

H. L. Ton-That, "A new C0 third-order shear deformation theory for the nonlinear free vibration analysis of stiffened functionally graded plates," Facta Univ. Ser.: Mech. Eng., vol. 19(2), pp. 285-305, 2021.

H. L. Ton-That, "A novel quadrilateral element for dynamic response of plate‎ structures subjected to blast loading," J Appl Comput Mech, vol. 6, pp. 1314-1323, 2020.

H. Dang-Trung, D. J. Yang and Y. C. Liu, "Improvements in shear locking and spurious zero energy modes using Chebyshev finite element method," J. Comput. Inf. Sci. Eng., vol. 19(1), p. 011006, 2019.

T. Chau-Dinh, T. K. Nguyen, H. Nguyen-Van and H. L. Ton-That, "A MITC3+ element improved by edge-based smoothed strains for analyses of laminated composite plates using the higher-order shear deformation theory," Acta Mech, vol. 232, pp. 389-422, 2021.

T. Q. Bui, T. V. Do, L. H. T. Ton, D. H. Doan, S. Tanaka, D. T. Pham, T. A. Nguyen-Van, T. Yu and S. Hirose, "On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory," Compos Part B-Eng, vol. 92, pp. 218-241, 2016.

H. L. Ton-That, H. Nguyen-Van and T. Chau-Dinh, "A novel quadrilateral element for analysis of functionally graded porous plates/shells reinforced by graphene platelets," Arch. Appl. Mech., vol. 91, pp. 2435-2466, 2021.

Downloads

Published

2024-09-27

How to Cite

Ton-That, L. H. (2024). Bending and Free Vibration Analysis of Functionally Graded Sandwich Plates with porosity using Higher-Order Shear Deformation Theory. Journal of Applied Engineering Design and Simulation, 4(2), 68-77. https://doi.org/10.24191/jaeds.v4i2.87