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THE IMPACT OF VOLUME FRACTION METAL/CERAMIC CONSTITUENTS ON CRITICAL BUCKLING TEMPERATURE OF FUNCTIONALLY GRADED PLATE
Authors:
Gordana Bogdanović1
, Dragan Čukanović2, Aleksandar Radaković3, Vladimir Geroski1
1Faculty of Engineering, University of Kragujevac, Serbia
2Faculty of Technical Sciences – Kosovska Mitrovica, University of Priština, Serbia
3State University of Novi Pazar, Serbia
Received 05.11.2017.
Accepted 05.12.2017.
Available 15.12.2017.
Abstract:
A thermal buckling analysis of functionally graded rectangular plates is presented. Mechanical and thermal properties of the functionally graded material, except Poisson’s ratio, are assumed to vary continuously through the thickness of the plate according to a power-law distribution of the metal and ceramic volume fractions. Formulations of equilibrium and stability equations are based on high order shear deformation theory including shape function. An analytical method for determination of critical buckling temperature is developed. Numerical results were obtained in МАTLAB software using combinations of symbolic and numeric values. The effects of power-law index and temperature gradient on mechanical responses of the plates are discussed and appropriate conclusions are given.
Keywords:
Functionally graded plate,thermal buckling, power-lawdistribution, high order sheardeformation theory
References:
[1] S. Veličković, S. Garić, B. Stojanović, A. Vencl, Tribological properties of aluminium matrix nanocomposites, Applied Engineering Letters, 1 (3), 2016: pp.72-79.
[2] D. K. Jha, T. Kant, R.K. Singh, A critical review of recent research on functionally graded plates, Compos. Struct., 96 (-), 2013: pp.833-849. https://doi.org/10.1016/j.compstruct.2012.09.001
[3] I. Miletić, M. Miletić, The buckling analysis of a rectangular plate elastically clamped along the longitudinal edges, Applied Engineering Letters, 1 (1), 2016: pp.24-28.
[4] G. N. Praveen, J. N. Reddy, Nonlinear transient thermoelastic analysis of functionally graded ceramic–metal plates, Int. J. Solids. Struct., 35(33) 1998: pp.4457-4476. https://doi.org/10.1016/S0020-7683(97)00253-9
[5] J. N. Reddy, C. M. Wang, S. Kitipornchai, Axisymmetric bending of functionally graded circular and annular plates, Eur. Ј. Mech. A/Solids, 18 (2), 1999: pp.185-199. https://doi.org/10.1016/S0997-7538(99)80011-4
[6] R. Javaheri, M. R. Eslami, Thermal buckling of functionally graded plates, AIAA J., 40 (1), 2002: pp.162-169. https://arc.aiaa.org/doi/abs/10.2514/2.1626
[7] M. Bodaghi, A. R. Saidi, Thermoelastic buckling behavior of thick functionally graded rectangular plates, Arch. Appl. Mech., 81 (11), 2011: pp.1555-1572. https://doi.org/10.1007/s00419-010-0501-0
[8] H. Matsunaga, Thermal buckling of functionally graded plates according to a 2D higher-order deformation theory, Compos. Struct., 90 (1), 2009: pp.76-86. https://doi.org/10.1016/j.compstruct.2009.02.004
[9] S. S. Akavci, Thermal buckling analysis of functionally graded plates on an elastic foundation according to a hyperbolic shear deformation theory, Mech. Compos. Mater., 50 (2), 2014: pp.197-212. https://doi.org/10.1007/s11029-014-9407-1
[10] E. Reissner, Y. Stavsky, Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates, J. Appl. Mech-T ASME, 28 (3), 1961: pp.402-408.
[11] J. L. Mantari, E. M. Bonilla, C. G. Soares, A new tangential-exponential higher order shear deformation theory for advanced composite plates, Compos. B Eng., 60, 2014: pp.319-328. https://doi.org/10.1016/j.compositesb.2013.12.001
[12] J. N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. CRC Press LLC, New York, United State of America, 2004.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
Volume 10
Number 3
September 2025
Last Edition
Volume 10
Number 3
September 2025
How to Cite
G. Bogdanović, D. Čukanović, A. Radaković, V. Geroski, The Impact of Volume Fraction Metal/Ceramic Constituents on Critical Buckling Temperature of Functionally Graded Plate. Applied Engineering Letters, 2(4), 2017: 139-143.
More Citation Formats
Bogdanović, G., Čukanović, D., Radaković, A., & Geroski, V. (2017). The Impact of Volume Fraction Metal/Ceramic Constituents on Critical Buckling Temperature of Functionally Graded Plate. Applied Engineering Letters, 2(4), 139-143.
Bogdanović, Gordana, et al. “The Impact of Volume Fraction Metal/Ceramic Constituents on Critical Buckling Temperature of Functionally Graded Plate.“ Applied Engineering Letters, vol. 2, no. 4, 2017, pp. 139-143.
Bogdanović, Gordana, Dragan Čukanović, Aleksandar Radaković, and Vladimir Geroski, “The Impact of Volume Fraction Metal/Ceramic Constituents on Critical Buckling Temperature of Functionally Graded Plate. “ Applied Engineering Letters, 2 (4): 139-143.
Bogdanović, G., Čukanović, D., Radaković, A. and Geroski, V. (2017). The Impact of Volume Fraction Metal/Ceramic Constituents on Critical Buckling Temperature of Functionally Graded Plate. Applied Engineering Letters, 2(4), 139-143.
Journal Menu
Archive
THE IMPACT OF VOLUME FRACTION METAL/CERAMIC CONSTITUENTS ON CRITICAL BUCKLING TEMPERATURE OF FUNCTIONALLY GRADED PLATE
Authors:
Gordana Bogdanović1
, Dragan Čukanović2, Aleksandar Radaković3, Vladimir Geroski1
1Faculty of Engineering, University of Kragujevac, Serbia
2Faculty of Technical Sciences – Kosovska Mitrovica, University of Priština, Serbia
3State University of Novi Pazar, Serbia
Received 05.11.2017.
Accepted 05.12.2017.
Available 15.12.2017.
Abstract:
A thermal buckling analysis of functionally graded rectangular plates is presented. Mechanical and thermal properties of the functionally graded material, except Poisson’s ratio, are assumed to vary continuously through the thickness of the plate according to a power-law distribution of the metal and ceramic volume fractions. Formulations of equilibrium and stability equations are based on high order shear deformation theory including shape function. An analytical method for determination of critical buckling temperature is developed. Numerical results were obtained in МАTLAB software using combinations of symbolic and numeric values. The effects of power-law index and temperature gradient on mechanical responses of the plates are discussed and appropriate conclusions are given.
Keywords:
Functionally graded plate,thermal buckling, power-lawdistribution, high order sheardeformation theory
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)
Volume 10
Number 3
September 2025
Last Edition
Volume 10
Number 3
September 2025