Evaluation of Critical Buckling Load in FG Plate using Analytical and Finite Elements Methods
Subject Areas :
Mechanical Engineering
Hossein Ahmadi Rashid
1
,
AMIR GHIASVAND
2
,
Maziar Mahdipour Jalilian
3
,
Mahdi Kazemi
4
1 - Department of Mechanical Engineering,
University of Tabriz, Tabriz, Iran
2 - Department of Mechanical Engineering,
University of Tabriz, Tabriz, Iran
3 - Department of Mechanical Engineering,
Kermanshah Branch, Islamic Azad University, Kermanshah, Iran
4 - Assistant Professor of Mechanical Engineering,
Malayer University, Malayer, Iran
Received: 2020-07-18
Accepted : 2020-09-02
Published : 2022-09-01
Keywords:
Functionally graded materials (FGM),
Buckling,
Third Order Shear Theory,
Finite Elements Analysis,
Abstract :
In this paper, analytical and finite element solutions of mechanical buckling of a thick Functionally Graded (FG) plate have been investigated. Boundary conditions have been assumed as simply supported at all edges and three different loadings have been applied. In analytical section the procedure of developing the critical buckling force by third order shear theory has been presented and then the stability Equations have been reduced from 5 to 2. In continue, the problem has been solved using numerical simulation by ABAQUS. To validate the FEM, results have been compared and validated with analytical solution. The results show that the bi-axial compression loading case with the loading ratio of R to one and R to zero are the most possible and most unlikely case in buckling occurrence, respectively.
References:
Moita, J. S., et al., Buckling and Nonlinear Response of Functionally Graded Plates Under Thermo-Mechanical Loading. Composite Structures, 2018.
Alijani, A., et al., On Nonlinear Thermal Buckling Analysis of Cylindrical Shells, Thin-Walled Structures, Vol. 95, 2015, pp. 170-182.
Jafarinezhad, M., Eslami, M., Coupled Thermoelasticity of FGM Annular Plate Under Lateral Thermal Shock, Composite Structures, Vol. 168, 2017, pp. 758-771.
Ramu, I., Mohanty, S., Buckling Analysis of Rectangular Functionally Graded Material Plates Under Uniaxial and Biaxial Compression Load, Procedia Engineering, Vol. 86, 2014, pp. 748-757.
Hosseini-Hashemi, S., Khorshidi, K., and Amabili, M., Exact Solution for Linear Buckling of Rectangular Mindlin plates, Journal of sound and vibration, Vol. 315, No. 1-2, 2008, pp. 318-342.
Featherston, C. A., Watson, A., Buckling of Optimised Flat Composite Plates Under Shear and In-Plane Bending, Composites Science and Technology, Vol. 65, No. 6, 2005, pp. 839-853.
Piscopo, V., Refined Buckling Analysis of Rectangular Plates Under Uniaxial and Biaxial Compression, International Journal of Mechanical and Mechatronics Engineering, Vol. 4, No. 10, 2010, pp. 1018-1025.
Mohammadi, M., Saidi, A. R., and Jomehzadeh, E., Levy Solution for Buckling Analysis of Functionally Graded Rectangular Plates, Applied Composite Materials, Vol. 17, No. 2, 2010, pp. 81-93.
Javaheri, R., Eslami, M., Buckling of Functionally Graded Plates under In‐plane Compressive Loading, ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 82, No. 4, 2002, pp. 277-283.
Najafizadeh, M., Eslami, M., First-Order-Theory-Based Thermoelastic Stability of Functionally Graded Material Circular Plates, AIAA Journal, Vol. 40, No. 7, 2002, pp. 1444-1450.
Ma, L., Wang, T., Relationships Between Axisymmetric Bending and Buckling of FGM Circular Plates Based on Third-Order Plate Theory and Classical Plate Theory, Int. J. Solids Struct, Vol. 41, No. 1, 2003, pp. 85-101.
Na, K. S., Kim, J. H., Three-Dimensional Thermal Buckling Analysis of Functionally Graded Materials, Composites Part B: Engineering, Vol. 35, No. 5, 2004, pp. 429-437.
Han, Q., et al., Thermal Buckling Analysis of Cylindrical Shell with Functionally Graded Material Coating, Composite Structures, Vol. 181, 2017, pp. 171-182.