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Thermal and Mechanical Buckling of Short and Long Functionally Graded Cylindrical Shells Using First Order Shear Deformation Theory
Abstract:This paper presents the buckling analysis of short and long functionally graded cylindrical shells under thermal and mechanical loads. The shell properties are assumed to vary continuously from the inner surface to the outer surface of the shell. The equilibrium and stability equations are derived using the total potential energy equations, Euler equations and first order shear deformation theory assumptions. The resulting equations are solved for simply supported boundary conditions. The critical temperature and pressure loads are calculated for both short and long cylindrical shells. Comparison studies show the effects of functionally graded index, loading type and shell geometry on critical buckling loads of short and long functionally graded cylindrical shells.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1328442Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1944
 L. H. Donnell, Stability of Thin-walled Tubes Under Torsion. NACA Tr- 479, 1934.
 W. T. Koiter, Theoretical and Applied Mechanics. New York: North Holland, 1977.
 W. Fl├╝gge, Stresses in Shells. Springer Verlage, 1960.
 L. S. D. Morley, "An improvement on Donnell-s approximation for thinwalled circular cylinders," J. Mech. Appl. Math., vol. 12, 1959, p. 89.
 D. O. Brush, and B. O. Almorth, Buckling of Beams, Plates and Shells. New York: McGraw-Hill, 1975.
 R. Shahsiah, and M. R. Eslami, "Functionally Graded Cylinder Shell Thermal Instability Based on Improved Donnell," AIAA J., vol. 41, pp. 1819-1826, 2003.
 J. Woo, and S. A. Meguid, "Thermomechanical postbuckling analysis of functionally graded plates and shallow cylindrical shells," Acta Mech., vol. 165, 99-115, 2003.
 H. S. Shen, "Thermal postbuckling behavior of functionally graded cylindrical shells with temperature-dependent properties," Int. J. Solids Struct., vol. 41, pp. 1961-1974, 2004.
 P. Khazaeinejad, and M.M. Najafizadeh, "Mechanical buckling of cylindrical shells with varying material properties," Proc. the Inst. Mech. Eng., Part C, J. Mech. Eng. Sci., vol. 224, No. 8, 1551-1557, 2010.
 G. N. Praveen, and J. N. Reddy, "Nonlinear transient thermoelastic analysis of functionlly graded ceramic-metal plates," Int. J. Solids Struct., vol. 35, pp. 4457-4471, 1998.