Comparative thermal buckling analysis of functionally graded plate
2017
Аутори
Cukanović, Dragan V.Bogdanović, Gordana M.
Radaković, Aleksandar B.
Milosavljević, Dragan I.
Veljović, Ljiljana V.
Balać, Igor
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
A thermal buckling analysis of functionally graded thick rectangular plates according to von Karman non-linear theory is presented. The material properties of the functionally graded plate, except for the Poisson's ratio, were assumed to be graded in the thickness direction, according to a power-law distribution, in terms of the volume fractions of the metal and ceramic constituents. Formulations of equilibrium and stability equations are derived using the high order shear deformation theory based on different types of shape functions. Analytical method for determination of the critical buckling temperature for uniform increase of temperature, linear and non-linear change of temperature across thickness of a plate is developed. Numerical results were obtained in MATLAB software using combinations of symbolic and numeric values. The paper presents comparative results of critical buckling temperature for different types of shape functions. The accuracy of the formulation presented is ver...ified by comparing to results available from the literature.
Кључне речи:
von Karman non-linear theory / thermal buckling / shape function / power-law distribution / higher-order shear deformation theoryИзвор:
Thermal Science, 2017, 21, 6, 2957-2969Издавач:
- Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd
DOI: 10.2298/TSCI160614182C
ISSN: 0354-9836
WoS: 000418781700025
Scopus: 2-s2.0-85041619882
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Cukanović, Dragan V. AU - Bogdanović, Gordana M. AU - Radaković, Aleksandar B. AU - Milosavljević, Dragan I. AU - Veljović, Ljiljana V. AU - Balać, Igor PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2642 AB - A thermal buckling analysis of functionally graded thick rectangular plates according to von Karman non-linear theory is presented. The material properties of the functionally graded plate, except for the Poisson's ratio, were assumed to be graded in the thickness direction, according to a power-law distribution, in terms of the volume fractions of the metal and ceramic constituents. Formulations of equilibrium and stability equations are derived using the high order shear deformation theory based on different types of shape functions. Analytical method for determination of the critical buckling temperature for uniform increase of temperature, linear and non-linear change of temperature across thickness of a plate is developed. Numerical results were obtained in MATLAB software using combinations of symbolic and numeric values. The paper presents comparative results of critical buckling temperature for different types of shape functions. The accuracy of the formulation presented is verified by comparing to results available from the literature. PB - Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd T2 - Thermal Science T1 - Comparative thermal buckling analysis of functionally graded plate EP - 2969 IS - 6 SP - 2957 VL - 21 DO - 10.2298/TSCI160614182C ER -
@article{ author = "Cukanović, Dragan V. and Bogdanović, Gordana M. and Radaković, Aleksandar B. and Milosavljević, Dragan I. and Veljović, Ljiljana V. and Balać, Igor", year = "2017", abstract = "A thermal buckling analysis of functionally graded thick rectangular plates according to von Karman non-linear theory is presented. The material properties of the functionally graded plate, except for the Poisson's ratio, were assumed to be graded in the thickness direction, according to a power-law distribution, in terms of the volume fractions of the metal and ceramic constituents. Formulations of equilibrium and stability equations are derived using the high order shear deformation theory based on different types of shape functions. Analytical method for determination of the critical buckling temperature for uniform increase of temperature, linear and non-linear change of temperature across thickness of a plate is developed. Numerical results were obtained in MATLAB software using combinations of symbolic and numeric values. The paper presents comparative results of critical buckling temperature for different types of shape functions. The accuracy of the formulation presented is verified by comparing to results available from the literature.", publisher = "Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd", journal = "Thermal Science", title = "Comparative thermal buckling analysis of functionally graded plate", pages = "2969-2957", number = "6", volume = "21", doi = "10.2298/TSCI160614182C" }
Cukanović, D. V., Bogdanović, G. M., Radaković, A. B., Milosavljević, D. I., Veljović, L. V.,& Balać, I.. (2017). Comparative thermal buckling analysis of functionally graded plate. in Thermal Science Univerzitet u Beogradu - Institut za nuklearne nauke Vinča, Beograd., 21(6), 2957-2969. https://doi.org/10.2298/TSCI160614182C
Cukanović DV, Bogdanović GM, Radaković AB, Milosavljević DI, Veljović LV, Balać I. Comparative thermal buckling analysis of functionally graded plate. in Thermal Science. 2017;21(6):2957-2969. doi:10.2298/TSCI160614182C .
Cukanović, Dragan V., Bogdanović, Gordana M., Radaković, Aleksandar B., Milosavljević, Dragan I., Veljović, Ljiljana V., Balać, Igor, "Comparative thermal buckling analysis of functionally graded plate" in Thermal Science, 21, no. 6 (2017):2957-2969, https://doi.org/10.2298/TSCI160614182C . .