Finite Element Analysis of Functionally Graded Sandwich Plates

Abstract:

Computational methods become a necessity at places where the fields of testing as well as lab model testing poses problems or situations demanding large number of test results at low cost. The accuracy of the computational model can be adjusted by convergence study. The present study uses finite element method for finding static behaviour of sandwich plates having functionally graded core. Power law is employed for quantification of the material properties and zig-zag theory is utilized for the analysis. Hamilton’s theorem is exploited for deriving the equation which is resolved by FEM by taking nine-node C-0 iso-parametric FE having 11 DOF/node. Aspect ratio, power law coefficient and skewness of plate are used as variables to study the bending response of the plate. Present results are found to be consistent with the published ones and new results are also presented.

• Periodical: Key Engineering Materials (Volume 983)
• Pages: 39-44
• DOI: https://doi.org/10.4028/p-i4aLAu
• Online since: July 2024
• Authors: Simmi Gupta, Hanuman Devidas Chalak*
• Keywords: Bending Analysis, Finite Element, HOZT, Sandwich FGM Plate

References

[1] L. Iurlaro, M. Gherlone, and Di M. Sciuva: Bending And Free Vibration Analysis of Functionally Graded Sandwich Plates Using the Refined Zigzag Theory. Journal of Sandwich Structures and Materials, 16(6), 669–699, 2014.

DOI: 10.1177/1099636214548618

[2] M. Kashtalyan, and M. Menshykova: Three-dimensional elasticity solution for sandwich panels with a functionally graded core. Composite Structures, 87(1), 36–43, 2009.

DOI: 10.1016/j.compstruct.2007.12.003

[3] B. Woodward, and M. Kashtalyan: 3D elasticity analysis of sandwich panels with graded core under distributed and concentrated loadings. International Journal of Mechanical Sciences, 53(10), 872–885, 2011.

DOI: 10.1016/j.ijmecsci.2011.07.011

[4] A. Garg, M-O Belarbi, H.D. Chalak and A. Chakrabarti: A review of the analysis of sandwich FGM structures. Composite Structures, 258, 113427, 2021.

DOI: 10.1016/j.compstruct.2020.113427

[5] M. G. Taj, A. Chakrabarti, and M. Talha: Bending analysis of functionally graded skew sandwich plates with through-the thickness displacement variations. In Journal of Sandwich Structures and Materials ,Vol. 16, 2014.

DOI: 10.1177/1099636213512499

[6] J. Yarasca, J. L. Mantari, and R. A. Arciniega: Hermite–Lagrangian finite element formulation to study functionally graded sandwich beams. Composite Structures, 140, 567–581, 2016.

DOI: 10.1016/j.compstruct.2016.01.015

[7] S.S. Tomar and M. Talha: Influence of material uncertainties on vibration and bending behaviour of skewed sandwich FGM plates. Composites Part B: Engineering, 163, 779–793, 2019.

DOI: 10.1016/j.compositesb.2019.01.035

[8] S. Natarajan and G. Manickam: Bending and vibration of functionally graded material sandwich plates using an accurate theory. Finite Elements in Analysis and Design, 57, 32–42, 2012.

DOI: 10.1016/j.finel.2012.03.006

[9] A. Chakrabarti, H.D. Chalak, M. Ashraf and A. Hamid: A new FE model based on higher order zigzag theory for the analysis of laminated sandwich beam with soft core, Composite Structures, 93(2), 271-279, 2011.

DOI: 10.1016/j.compstruct.2010.08.031

[10] S. Brischetto: Classical and mixed advanced models for sandwich plates embedding functionally graded cores, Mechanics of Materials and Structures, Vol. No. 4(1), Page No. 13-33, 2009.

DOI: 10.2140/jomms.2009.4.13

[11] E. Carrera, S. Brischetto, M. Cinefra and M. Soave: Effects of thickness stretching in functionally graded plates and shells. Composites Part B, Vol. No. 42, Page No. 123–33, 2011.

DOI: 10.1016/j.compositesb.2010.10.005

[12] AMA Neves, AJM Ferreira, E Carrera, CMC Roque, M Cinefra and RMN Jorge: A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates, Composites Part B, Vol. No. 43, Page No.711–25, 2012.

DOI: 10.1016/j.compositesb.2011.08.009

[13] AMA Neves, AJM Ferreira, E Carrera, M Cinefra, CMC Roque, RMN Jorge and CMM Soares: Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique. Composites Part B: Engineering, Vol. No. 44(1), Page No. 657–674, 2013.

DOI: 10.1016/j.compositesb.2012.01.089