3rd International Conference on Chemo and BioInformatics, Kragujevac, September 25-26. 2025. (pp. 132-132)
АУТОР(И) / AUTHOR(S): Aleksandar B. Radaković, Dragan V. Čukanović, Gordana Bogdanović, Aleksandar M. Nešović, Petar M. Knežević
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DOI: 10.46793/ICCBIKG25.132R
САЖЕТАК / ABSTRACT:
This paper presents a novel higher-order shear deformation theory (HSDT) shape function for the bending analysis of functionally graded (FGM) plates resting on a Kerr elastic foundation. The formulation ensures shear stress–free boundary conditions and accurately captures through-thickness variations without the need for shear correction factors. Numerical implementation and comparison with established reference solutions confirm the reliability, accuracy, and improved stability of the proposed function for different foundation parameters and geometric ratios. The findings further demonstrate the critical role of the Kerr model in representing interlayer interactions and enhancing the predictive capability of plate–foundation systems. The proposed approach provides an efficient and versatile framework for advanced analysis and design of FGM structures.
КЉУЧНЕ РЕЧИ / KEYWORDS:
FG plates, higher-order theories, Kerr foundation
ПРОЈЕКАТ / ACKNOWLEDGEMENT:
ЛИТЕРАТУРА / REFERENCES:
- R. M. Mahamood, E.T. Akinlabi, M. Shukla, S. Pityana., Functionally graded material: An overview, Proceedings of the World Congress on Engineering, Vol. III, WCE 2012, London, U.K., July 4–6, 2012.
- V. Birman, L.W. Byrd., Modeling and analysis of functionally graded materials and structures, Applied Mechanics Reviews, 60(5) (2007) 195–216.
- V. G. Kirchhoff., Über das Gleichgewicht und die Bewegung einer elastischen Scheibe, Journal für die reine und angewandte Mathematik, 40 (1850) 51–88.
- J. Yang, H.S. Shen., Non-linear analysis of FGM plates under transverse and in-plane loads, International Journal of Non-Linear Mechanics, 38(4) (2003) 467–482.
- Mengzhen Li, C. Guedes Soares, Renjun Yan, Free vibration analysis of FGM plate on Winkler/Pasternak/Kerr foundation by using a simple quasi – 3D HSDT, Composites Structures 264 (2021) 113643.
- S. Chakraverty, K.K. Pradhan., Free vibration of functionally graded thin rectangular plates resting on Winkler elastic foundation with general boundary conditions using Rayleigh–Ritz method, International Journal of Applied Mechanics, 6(4) (2014) 1450043.
- N. D. Phan, J.N. Reddy., Analysis of laminated composite plates using a higher-order shear deformation theory, International Journal for Numerical Methods in Engineering, 21(12) (1985) 2201–2219.
- S. Akavci., Two new hyperbolic shear displacement models for orthotropic laminated composite plates, Mechanics of Composite Materials, 46(2) (2010) 215–226.