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Buckling Analysis of Functionally Graded Plates Based on Two-Variable Refined Plate Theory Using the Bubble Finite Strip Method | ||
| AUT Journal of Civil Engineering | ||
| مقاله 6، دوره 1، شماره 2، اسفند 2017، صفحه 145-152 اصل مقاله (1.01 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/ceej.2017.12358.5184 | ||
| نویسندگان | ||
| Omid Kianian؛ Saeid Sarrami-Foroushani* ؛ Mojtaba Azhari | ||
| Department of Civil Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran | ||
| چکیده | ||
| Functionally graded materials (FGMs) have been widely used in many structural applications over the past decades. The rapid growth of the FGMs is due to their remarkable mechanical and thermal properties. The mechanical buckling analysis of functionally graded ceramic-metal rectangular plates is considered in this paper. The two-variable refined plate theory (RPT), in conjunction with the bubble finite strip method, is employed for the first time to evaluate the mechanical buckling loads of rectangular FGM plates. The theory, which has a strong similarity with the classical plate theory (CPT) in many aspects, accounts for a quadratic variation of transverse shear strains across the thickness of the plate and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using the shear correction factor. In comparison with the ordinary finite strip method, the convergence of the bubble finite strip method is very rapid due to using bubble shape functions. The mechanical properties of the FGM plate are assumed to vary according to a power law distribution of the volume fraction of constituents. The accuracy and efficiency of the present method are confirmed by comparing the present results with those available in the literature. Furthermore, the effects of powerlaw index, plate thickness, aspect ratio, loading types and various boundary conditions on the critical buckling load of the functionally graded rectangular plates are investigated. | ||
تازه های تحقیق | ||
[1] H.T. Thai, S.E. Kim, A review of theories for the modeling and analysis of functionally graded plates and shells, Composite Structures, 128 (2015) 70-86. [2] E. Reissner, The effect of transverse shear deformation on the bending of elastic plates, J. appl. Mech., (1945) 69-77. [3] R.D. Mindlin, Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, J. appl. Mech., 18 (1951) 31-38. [4] B. Shariat, M. Eslami, Buckling of functionally graded plates under in plane compressive loading based on the first order plate theory, in: Proceeding of the Fifth International Conference on Composite Science and Technology. Sharjah, UAE, 2005. [5] M. Mohammadi, A. Saidi, E. Jomehzadeh, A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 224(9) (2010) 1831-1841. [6] J. Reddy, D. Robbins, Theories and computational models for composite laminates, Applied mechanics reviews, 47(6) (1994) 147-169. [7] B.S. Shariat, M. Eslami, Buckling of thick functionally graded plates under mechanical and thermal loads, Composite Structures, 78(3) (2007) 433-439. [8] M. Najafizadeh, H. Heydari, Higher-Order Theory For Bucklng of Functionally Graded Circular Plates, AIAA journal, 45(6) (2007) 1153-1160. [9] M. Bodaghi, A. Saidi, Levy-type solution for buckling analysis of thick functionally graded rectangular plates based on the higher-order shear deformation plate theory, Applied Mathematical Modelling, 34(11) (2010) 3659- 3673. [10] M. Najafizadeh, H. Heydari, An exact solution for buckling of functionally graded circular plates based on higher order shear deformation plate theory under uniform radial compression, International Journal of Mechanical Sciences, 50(3) (2008) 603-612. [11] T. Kant, A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches, Composite Structures, 23(4) (1993) 293-312. [12] R.P. Shimpi, Refined plate theory and its variants, AIAA journal, 40(1) (2002) 137-146. [13] M.S. Ahmed Houari, S. Benyoucef, I. Mechab, A. Tounsi, E.A. Adda Bedia, Two-variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates, Journal of Thermal Stresses, 34(4) (2011) 315-334. [14] S. Mirzaei, M. Azhari, H.A.R. Bondarabady, On the use of finite strip method for buckling analysis of moderately thick plate by refined plate theory and using new types of functions, Latin American Journal of Solids and Structures, 12(3) (2015) 561-582. [15] K. Swaminathan, D. Sangeetha, Thermal analysis of FGM plates–A critical review of various modeling techniques and solution methods, Composite Structures, 160 (2017) 43-60. [16] D.-G. Zhang, Y.-H. Zhou, A theoretical analysis of FGM thin plates based on physical neutral surface, Computational Materials Science, 44(2) (2008) 716-720. [17] S. Sarrami-Foroushani, M. Azhari, Nonlocal buckling and vibration analysis of thick rectangular nanoplates using finite strip method based on refined plate theory, Acta Mechanica, 227(3) (2016) 721-742. [18] H.-T. Thai, D.-H. Choi, An efficient and simple refined theory for buckling analysis of functionally graded plates, Applied Mathematical Modelling, 36(3) (2012) 1008-1022. | ||
| کلیدواژه‌ها | ||
| Functionally graded plate؛ Refined plate theory؛ Buckling؛ Finite strip method؛ Bubble function | ||
| مراجع | ||
|
[1] H.T. Thai, S.E. Kim, A review of theories for the modeling and analysis of functionally graded plates and shells, Composite Structures, 128 (2015) 70-86.
[2] E. Reissner, The effect of transverse shear deformation on the bending of elastic plates, J. appl. Mech., (1945) 69-77.
[3] R.D. Mindlin, Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, J. appl. Mech., 18 (1951) 31-38.
[4] B. Shariat, M. Eslami, Buckling of functionally graded plates under in plane compressive loading based on the first order plate theory, in: Proceeding of the Fifth International Conference on Composite Science and Technology. Sharjah, UAE, 2005.
[5] M. Mohammadi, A. Saidi, E. Jomehzadeh, A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 224(9) (2010) 1831-1841.
[6] J. Reddy, D. Robbins, Theories and computational models for composite laminates, Applied mechanics reviews, 47(6) (1994) 147-169.
[7] B.S. Shariat, M. Eslami, Buckling of thick functionally graded plates under mechanical and thermal loads, Composite Structures, 78(3) (2007) 433-439.
[8] M. Najafizadeh, H. Heydari, Higher-Order Theory For Bucklng of Functionally Graded Circular Plates, AIAA journal, 45(6) (2007) 1153-1160.
[9] M. Bodaghi, A. Saidi, Levy-type solution for buckling analysis of thick functionally graded rectangular plates based on the higher-order shear deformation plate theory, Applied Mathematical Modelling, 34(11) (2010) 3659- 3673.
[10] M. Najafizadeh, H. Heydari, An exact solution for buckling of functionally graded circular plates based on higher order shear deformation plate theory under uniform radial compression, International Journal of Mechanical Sciences, 50(3) (2008) 603-612.
[11] T. Kant, A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches, Composite Structures, 23(4) (1993) 293-312.
[12] R.P. Shimpi, Refined plate theory and its variants, AIAA journal, 40(1) (2002) 137-146.
[13] M.S. Ahmed Houari, S. Benyoucef, I. Mechab, A. Tounsi, E.A. Adda Bedia, Two-variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates, Journal of Thermal Stresses, 34(4) (2011) 315-334.
[14] S. Mirzaei, M. Azhari, H.A.R. Bondarabady, On the use of finite strip method for buckling analysis of moderately thick plate by refined plate theory and using new types of functions, Latin American Journal of Solids and Structures, 12(3) (2015) 561-582.
[15] K. Swaminathan, D. Sangeetha, Thermal analysis of FGM plates–A critical review of various modeling techniques and solution methods, Composite Structures, 160 (2017) 43-60.
[16] D.-G. Zhang, Y.-H. Zhou, A theoretical analysis of FGM thin plates based on physical neutral surface, Computational Materials Science, 44(2) (2008) 716-720.
[17] S. Sarrami-Foroushani, M. Azhari, Nonlocal buckling and vibration analysis of thick rectangular nanoplates using finite strip method based on refined plate theory, Acta Mechanica, 227(3) (2016) 721-742.
[18] H.-T. Thai, D.-H. Choi, An efficient and simple refined theory for buckling analysis of functionally graded plates, Applied Mathematical Modelling, 36(3) (2012) 1008-1022. | ||
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