Static bending analysis of imperfect FGM plates
DOI:
https://doi.org/10.61591/jslhu.16.378Keywords:
FGM plate, Imperfect, Work-energy principle, Analytical method, Static bendingAbstract
This is the first time to use an analytical method to study the static bending response of a plate made of imperfect functional graded materials (FGM) in terms of material distribution, in which materials were made of the two main components, ceramic and metal. The government equation of this plate is established based on the theory of shear strain in the form of trigonometric functions and the work-energy principle. The calculation theory is verified through comparison with published works. The article also investigates some material parameters and geometrical factors that affect the static bending response of the FGM plate, and the research findings are a useful reference for designers and fabricators of FGM structures in practice.
References
Viet, D. N.; Binh, V. P. Static bending, free vibration, and buckling analyses of two-layer FGM plates with shear connectors resting on elastic foundations. Alexandria Engineering Journal, 2023, 62, pp. 369- 390.
DOI: https://doi.org/10.1016/j.aej.2022.07.038
Nam, H. V; Duc, H. D.; Khoa, M. N.; Thom, D. V.; Hong, T. T. Phase-field buckling analysis of cracked stiffened functionally graded plates. Composite Structures, 2019, 217, pp. 50-59.
DOI: https://doi.org/10.1016/j.compstruct.2019.03.014
Aman, G.; Chalak, H. D.; Anupam, C. Bending analysis of functionally graded sandwich plates using Hozt including transverse displacement effects. Mechanics Based Design of Structures and Machines. 2022, 50 (10), pp. 3563-3577.
DOI: https://doi.org/10.1080/15397734.2020.1814157
Ouinas, D.; Fekirini, H.; Olay, J. A.; Achour, B.; Boukendakdji, M. New hybrid HSDT for bending, free vibration, and buckling analysis of FGM plates (2D & quasi-3D). Smart Structures and Systems, 2022, 29 (3), pp. 395-420.
DOI: https://doi.org/10.12989/sss.2022.29.3.395
Zenkour, A. M. Generalized shear deformation theory for bending analysis of functionally graded plates. Applied Mathematical Modelling, 2009, 30 (1), pp. 67-84