Thermal buckling of imperfect functionally graded cylindrical shells based on the Wan-Donnell model

Journal of Thermal Stresses

Volumn 29, Issue 1, 2006, Pages 37-55

  Mirzavand, B ^a   Eslami, M R ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

FGM; Imperfection; Thermal buckling; Thin cylindrical shell

Indexed keywords

FUNCTIONALLY GRADED MATERIALS; KINEMATICS; MATHEMATICAL MODELS; SHELLS (STRUCTURES); VOLUME FRACTION;

SANDERS NONLINEAR KINEMATIC RELATIONS; SHELL GEOMETRY; THERMAL BUCKLING; THIN CYLINDRICAL SHELLS;

BUCKLING;

EID: 29044440008     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/01495730500257409     Document Type: Article

References (24)

1. L. H. Donnell, A New Theory for the Buckling of Thin Cylinders under Axial Compression and Bending, ASME Trans., vol. 56, pp. 795-806, 1934.
2. L. H. Donnell and C. C. Wan, Effect of Imperfections on Buckling of Thin Cylinders and Columns Under Axial Compression, J. Appl. Mech., vol. 17, pp. 73-83, 1950.
3. L. H. Donnell, Effect of Imperfections on Buckling of Thin Cylinders Under External Pressure, J. Appl. Mech., vol. 23, pp. 569-575, 1956.
4. N. G. Tsouvalis, A. A. Zafeiratou, V. J. Papazoglou, N. C. Gabrielides, and P. D. Kaklis, Numerical Modeling of Composite Laminated Cylinders in Compression Using a Novel Imperfection Modeling Method, Composites, Part B: Eng., vol. 32, pp. 387-399, 2001.
5. A. S. Petreli and N. G. Tsouvalis, A Parametric Study of the Effect of Geometric Imperfections on the Buckling Behavior of Composite Laminated Cylinders, Proceedings of the HELLAS-COMP 2001, Second National Conference on Composite Materials, Patras, Greece, 2001.
6. W. Wunderlich and U. Albertin, Buckling Behavior of Imperfect Spherical Shells, Inter. J. Non-Linear Mech., vol. 37, pp. 589-604, 2002.
7. M. R. Eslami and R. Shahsiah, Thermal Buckling of Imperfect Cylindrical Shells, J. Thermal Stresses, vol. 24, pp. 71-89, 2001.
8. R. Shahsiah and M. R. Eslami, Thermal and Mechanical Buckling of Imperfect Spherical Cap, J. Thermal Stresses, vol. 26, no. 7, pp. 723-737, 2003.
9. T. Y. Ng, Y. K. Lam, K. M. Liew, and J. N. Reddy, Dynamic Stability Analysis of Functionally Graded Cylindrical Shell under Periodic Axial Loading, Inter. J. Solids Structures, vol. 38, pp. 1295-1300, 2001.
10. R. Javaheri and M. R. Eslami, Thermal Buckling of Functionally Graded Plates Based on Higher Order Theory, J. Thermal Stresses, vol. 25, pp. 603-625, 2002.
11. R. Javaheri and M. R. Eslami, Thermal Buckling of Functionally Graded Plates, AIAA J., vol. 40, no. 1, pp. 162-169, 2002.
12. E. Feldman and J. Aboudi, Postbuckling Analysis and Imperfection Sensitivity of Metal Matrix Laminated Cylindrical Panels, Comp. Struct., vol. 25, pp. 241-248, 1993.
13. M. M. Najafizadeh and M. R. Eslami, Buckling Analysis of Circular Plates of Functionally Graded Materials Based on First Order Theory, AIAA J., vol. 40, no. 7, pp. 1444-1450, 2002.
14. L. S. Ma and T. J. Wang, Buckling of Functionally Graded Circular/Annular Plates Based on the First-Order Shear Deformation Plate Theory, Key Eng. Mater., vol. 261-263, pp. 609-614, 2004.
15. R. Shahsiah and M. R. Eslami, Functionally Graded Cylindrical Shell Thermal Instability Based on Improved Donnell Equations, AIAA J., vol. 41, no. 9, pp. 1819-1826, 2003.
16. R. Shahsiah and M. R. Eslami, Thermal Buckling of Functionally Graded Cylindrical Shells, J. Thermal Stresses, vol. 26, pp. 277-294, 2003.
17. S. Suresh and A. Mortensen, Fundamentals of Functionally Graded Materials, IOM Communications Ltd, London, 1998.
18. G. N. Praveen and J. N. Reddy, Nonlinear Transient Thermoelastic Analysis of Functionally Graded Ceramic-Metal Plates, Inter. J. Solids Struct., vol. 35, no. 33, pp. 4457-4476, 1998.
19. D. O. Brush and B. O. Almroth, Buckling of Bars, Plates, and Shells, McGraw-Hill, New York, 1975.
20. L. H. Donnell, Beams, Plates, and Shells, McGraw-Hill, New York, 1976.
21. J. Woo and S. A. Meguid, Nonlinear Analysis of Functionally Graded Plates and Shallow Shells, Inter. J. Solids Structures, vol. 38, pp. 7409-7421, 2001.
22. S. P. Timoshenko and J. M. Giere, Theory of Elastic Stability, McGraw-Hill, New York, 1961.
23. B. Mirzavand, M. R. Eslami, and R. Shahsiah, Effect of Imperfections on Thermal Buckling of Functionally Graded Cylindrical Shells, AIAA J., vol. 43, no. 9, pp. 2073-2076, 2005.
24. M. R. Eslami, A. R. Ziaii, and A. Ghorbanpour, Thermoelastic Buckling of Thin Cylindrical Shells Based on Improved Stability Equations, J. Thermal Stresses, vol. 19, pp. 299-315, 1996.