Thermal and Mechanical Buckling of Short and Long Functionally Graded Cylindrical Shells Using First Order Shear Deformation Theory
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.
[1] L. H. Donnell, Stability of Thin-walled Tubes Under Torsion. NACA Tr-
479, 1934.
[2] W. T. Koiter, Theoretical and Applied Mechanics. New York: North
Holland, 1977.
[3] W. Fl├╝gge, Stresses in Shells. Springer Verlage, 1960.
[4] L. S. D. Morley, "An improvement on Donnell-s approximation for thinwalled
circular cylinders," J. Mech. Appl. Math., vol. 12, 1959, p. 89.
[5] D. O. Brush, and B. O. Almorth, Buckling of Beams, Plates and Shells.
New York: McGraw-Hill, 1975.
[6] R. Shahsiah, and M. R. Eslami, "Functionally Graded Cylinder Shell
Thermal Instability Based on Improved Donnell," AIAA J., vol. 41, pp.
1819-1826, 2003.
[7] J. Woo, and S. A. Meguid, "Thermomechanical postbuckling analysis
of functionally graded plates and shallow cylindrical shells," Acta
Mech., vol. 165, 99-115, 2003.
[8] 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.
[9] 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.
[10] 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.
[1] L. H. Donnell, Stability of Thin-walled Tubes Under Torsion. NACA Tr-
479, 1934.
[2] W. T. Koiter, Theoretical and Applied Mechanics. New York: North
Holland, 1977.
[3] W. Fl├╝gge, Stresses in Shells. Springer Verlage, 1960.
[4] L. S. D. Morley, "An improvement on Donnell-s approximation for thinwalled
circular cylinders," J. Mech. Appl. Math., vol. 12, 1959, p. 89.
[5] D. O. Brush, and B. O. Almorth, Buckling of Beams, Plates and Shells.
New York: McGraw-Hill, 1975.
[6] R. Shahsiah, and M. R. Eslami, "Functionally Graded Cylinder Shell
Thermal Instability Based on Improved Donnell," AIAA J., vol. 41, pp.
1819-1826, 2003.
[7] J. Woo, and S. A. Meguid, "Thermomechanical postbuckling analysis
of functionally graded plates and shallow cylindrical shells," Acta
Mech., vol. 165, 99-115, 2003.
[8] 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.
[9] 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.
[10] 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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:49584", author = "O. Miraliyari and M.M. Najafizadeh and A.R. Rahmani and A. Momeni Hezaveh", title = "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.", keywords = "Buckling, Functionally graded materials, Short and long cylindrical shell, Thermal and mechanical loads.", volume = "5", number = "2", pages = "289-5", }