Abstract
Thermal buckling behavior of cylindrical shell made of functionally graded material (FGM) is studied. The material constituents are composed of ceramic and metal. The material properties across the shell thickness are assumed to be graded according to a simple power law distribution in terms of the volume fraction rule of mixtures. Based on the Donnell shell theory, a system of dimensionless partial differential equations of buckling in terms of displacement components is derived. The method of separation of variables is used to transform the governing equations to ordinary differential equations (ODEs). A shooting method is used to search for the numerical solutions of the differential equations under two types of boundary conditions. Effects of the power law index, the dimensionless geometrical parameters, and the temperature ratio on the critical buckling temperature are discussed in detail.
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References
Gupta, A. and Talha, M. Recent development in modeling and analysis of functionally graded materials and structures. Progress in Aerospace Sciences, 79, 1–14 (2015)
Eslami, M. R., Ziaii, A. R., and Ghorbanpour, A. Thermoelastic buckling of thin cylindrical shells based on improved stability equations. Journal of Thermal Stresses, 19 (4), 299–315 (1996)
Eslami, M. R. and Javaheri, R. Buckling of composite cylindrical shells under mechanical and thermal loads. Journal of Thermal Stresses, 22 (6), 527–545 (1999)
Eslami, M. R. and Shahsiah, R. Thermal buckling of imperfect cylindrical shells. Journal of Thermal Stresses, 24 (1), 71–89 (2001)
Shahsiah, R. and Eslami, M. R. Thermal buckling of functionally graded cylindrical shell. Journal of Thermal Stress, 26 (3), 277–294 (2003)
Shahsiah, R. and Eslami, M. R. Functionally graded cylindrical shell thermal instability based on improved Donnell equations. AIAA Journal, 41 (41), 1819–1826 (2012)
Mirzavand, B., Eslami, M. R., and Shahsiah, R. Effect of imperfections on thermal buckling of functionally graded shells. AIAA Journal, 43 (43), 2073–2076 (2015)
Wu, L. H., Jiang, Z. Q., and Liu, J. Thermoelastic stability of functionally graded cylindrical shells. Composite Structures, 70 (1), 60–68 (2005)
Yaghoobi, H., Fereidoon, A., and Shahsiah, R. Thermal buckling of axially functionally graded thin cylindrical shell. Journal of Thermal Stresses, 34 (12), 1250–1270 (2011)
Li, S. R. and Batra, R. C. Buckling of axially compressed thin cylindrical shells with functionally graded middle layer. Thin-Walled Structures, 44 (10), 1039–1047 (2006)
Khazaeinejad, P., Najafizadeh, M. M., Jenabi, J., and Isvandzibaei, M. R. On the buckling of functionally graded cylindrical shells under combined external pressure and axial compression. Journal of Pressure Vessel Technology, 132 (6), 1–6 (2010)
Huang, H. W. and Han, Q. Buckling of imperfect functionally graded cylindrical shells under axial compression. European Journal of Mechanics A/Solids, 27 (6), 1026–1036 (2008)
Huang, H. W., Han, Q., Feng, N. W., and Fan, X. J. Buckling of functionally graded cylindrical shells under combined loads. Mechanics of Advanced Materials and Structures, 18 (5), 337–346 (2011)
Sun, J. B., Xu, X. S., and Lim, C. M. Buckling of functionally graded cylindrical shells under combined thermal and compressive loads. Journal of Thermal Stresses, 37 (3), 340–362 (2014)
Sun, J. B., Xu, X. S., Lim, C.W., and Qiao, W. Y. Accurate buckling analysis for shear deformable FGM cylindrical shells under axial compression and thermal loads. Composite Structures, 123 (5), 246–256 (2015)
Sofiyev, A. H. and Kuruoglu, N. Buckling and vibration of shear deformable functionally graded orthotropic cylindrical shells under external pressures. Thin-Walled Structures, 78 (78), 121–130 (2014)
Zhang, Y. Q., Huang, H. W., and Han, Q. Buckling of elastoplastic functionally graded cylindrical shells under combined compression and pressure. Composites: Part B, 69 (69), 120–126 (2015)
Li, S. R., Wan, Z. Q., and Wang, X. Homogenized and classical expressions for static bending solutions for functionally graded material Levinson beams. Applied Mathematics and Mechanics (English Edition), 36 (7), 895–910 (2015) DOI 10.1007/s10483-015-1956-9
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Project supported by the National Natural Science Foundation of China (Nos. 11272278 and 11672260)
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Wan, Z., Li, S. Thermal buckling analysis of functionally graded cylindrical shells. Appl. Math. Mech.-Engl. Ed. 38, 1059–1070 (2017). https://doi.org/10.1007/s10483-017-2225-7
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DOI: https://doi.org/10.1007/s10483-017-2225-7