Non-linear buckling behavior of FGM truncated conical shells subjected to axial load

International Journal of Non-Linear Mechanics

Volumn 46, Issue 5, 2011, Pages 711-719

  Sofiyev, A H ^a  

^a SULEYMAN DEMIREL UNIVERSITY   (Turkey)

Author keywords

Conical shell; FGMs; Non linear buckling; Upper and lower critical axial loads

Indexed keywords

ARBITRARY DISTRIBUTION; AXIAL COMPRESSIVE LOAD; COMPATIBILITY EQUATION; CONICAL SHELL; FGMS; FUNCTIONALLY GRADED; FUNCTIONALLY GRADED SHELL; LARGE DEFORMATIONS; MATERIAL PROPERTY; NON-LINEAR; NON-LINEAR BUCKLING; NON-LINEAR STABILITIES; NON-LINEARITY; SHELL GEOMETRY; TRUNCATED CONICAL SHELL; UPPER AND LOWER CRITICAL AXIAL LOADS;

AXIAL LOADS; BUCKLING; GALERKIN METHODS; SHELLS (STRUCTURES);

FUNCTIONALLY GRADED MATERIALS;

EID: 79955523789     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2011.02.003     Document Type: Article

References (40)

1. P. Seide Axisymmetrical buckling of circular cones under axial compression Journal of Applied Mechanics 23 1956 625 628
2. J. Singer Buckling of circular conical shells under uniform axial compression AIAA Journal 3 1965 985 987
3. M. Baruch, O. Harari, and J. Singer Low buckling loads of axially compressed conical shells Journal of Applied Mechanics 37 1970 384 392
4. J. Tani, and Y. Yamaki Buckling of truncated conical shells under axial compression AIAA Journal 8 1970 568 570
5. L. Tong Buckling load of composite conical shells under axial compression Journal of Applied Mechanics 61 1994 718 719
6. N. Pariatmono, and M.K. Chryssanthopoulos Asymmetric elastic buckling of axially compressed conical shells with various endconditions AIAA Journal 33 1995 2218 2227
7. A. Spagnoli Koiter circles in the buckling of axially compressed conical shells International Journal of Solids and Structures 40 2003 6095 6109 (Pubitemid 37172304)
8. J. Famili Asymmetric buckling of finitely deformed conical shells AIAA Journal 3 1965 1456 1461
9. L.K. Chang, and S.Y. Lu Nonlinear thermal elastic buckling of conical shells Nuclear Engineering and Design 7 1968 159 169
10. W.A. Nash, and J.A. Wilder Response of thin conical shells to dynamically applied axial force International Journal of Non-Linear Mechanics 7 1972 65 80
11. R.H. Liu Non-linear buckling of symmetrically laminated, cylindrically orthotropic, shallow, conical shells considering shear International Journal of Non-Linear Mechanics 31 1996 89 99
12. M. Jabareen, and I. Sheinman Effect of the nonlinear pre-buckling state on the bifurcation point of conical shells International Journal of Solids and Structures 43 2006 2146 2159 (Pubitemid 43220552)
13. C. Chen, and L. Dai Nonlinear vibration and stability of a rotary truncated conical shell with intercoupling of high and low order modals Communications in Nonlinear Science and Numerical Simulation 14 2009 254 269
14. J.N. Reddy, and C.D. Chin Thermalmechanical analysis of functionally graded cylinders and plates Journal of Thermal Stresses 21 1998 593 626 (Pubitemid 128612780)
15. M. Koizumi The concept of FGM Ceramic Transactions Functionally Gradient Materials 34 1993 3 10
16. S. Suresh, and A. Mortensen Fundamentals of Functionally Graded Materials: Processing and Thermo-Mechanical Behavior of Graded Metals and MetalCeramic Composites 1998 IOM Communications London
17. E. Müller, C. Drašar, J. Schilz, and W.A. Kaysser Functionally graded materials for sensor and energy applications Materials Science Engineering A 362 2003 17 39 (Pubitemid 37325707)
18. T.Y. Ng, K.Y. Lam, K.M. Liew, and J.N. Reddy Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading International Journal of Solids and Structures 38 2001 1295 1309
19. A.H. Sofiyev The stability of compositionally graded ceramicmetal cylindrical shells under a-periodic axial impulsive loading Composite Structures 69 2005 257 267
20. R.C. Batra Torsion of a functionally graded cylinder AIAA Journal 44 2006 1363 1365 (Pubitemid 44116550)
21. H. Matsunaga Free vibration and stability of functionally graded circular cylindrical shells according to a 2D higher-order deformation theory Composite Structures 88 2009 519 531
22. M.M. Najafizadeh, A. Hasani, and P. Khazaeinejad Mechanical stability of functionally graded stiffened cylindrical shells Applied Mathematical Modelling 33 2009 1151 1157
23. X. Zhao, and K.M. Liew A mesh-free method for analysis of the thermal and mechanical buckling of functionally graded cylindrical shell panels Computational Mechanics 45 2010 297 310
24. R.K. Bhangale, R.K. Ganesan, and C. Padmanabhan Linear thermo-elastic buckling and free vibration behavior of FG truncated conical shell Journal of Sound and Vibration 292 2006 341 371 (Pubitemid 43253692)
25. A.H. Sofiyev The buckling of functionally graded truncated conical shells under dynamic axial loading Journal of Sound and Vibration 305 2007 808 826 (Pubitemid 47069461)
26. R. Naj, S.M. Boroujerdy, and M.R. Eslami Thermal and mechanical instability of functionally graded truncated conical shells Thin-Walled Structures 46 2008 65 78 (Pubitemid 350116329)
27. A.H. Sofiyev The buckling of FGM truncated conical shells subjected to combined axial tension and hydrostatic pressure Composite Structures 92 2010 488 498
28. H.S. Shen Post-buckling analysis of axially-loaded functionally graded cylindrical shells in thermal environments Composites Science and Technology 62 2002 977 987
29. J. Woo, S.A. Meguid, and K.M. Liew Thermomechanical postbuckling analysis of functionally graded plates and shallow cylindrical shells Acta Mechanica 165 2003 99 115
30. J. Woo, S.A. Meguid, J.C. Stranart, and K.M. Liew Thermomechanical postbuckling analysis of moderately thick functionally graded plates and shallow shells International Journal of Mechanical Sciences 47 2005 1147 1171 (Pubitemid 40788897)
31. J. Yang, K.M. Liew, Y.F. Wu, and S. Kitipornchai Thermo-mechanical post-buckling of FGM cylindrical panels with temperature-dependent properties International Journal of Solids and Structures 43 2006 307 324 (Pubitemid 41691420)
32. R.A. Arciniega, and J.N. Reddy Large deformation analysis of functionally graded shells International Journal of Solids and Structures 44 2007 2036 2052 (Pubitemid 46161503)
33. X. Zhao, and K.M. Liew Geometrically nonlinear analysis of functionally graded plates using the element-free kp-Ritz method Computer Methods in Applied Mechanics and Engineering 198 2009 2796 2811
34. X. Zhao, and K.M. Liew Geometrically nonlinear analysis of functionally graded shells International Journal of Mechanical Sciences 51 2009 131 144
35. H.W. Huang, and Q. Han Nonlinear elastic buckling and postbuckling of axially compressed functionally graded cylindrical shells International Journal of Mechanical Sciences 51 2009 500 507
36. H.W. Huang, and Q. Han Nonlinear buckling and postbuckling of heated functionally graded cylindrical shells under combined axial compression and radial pressure International Journal of Non-Linear Mechanics 44 2009 209 218
37. H.S. Shen Torsional buckling and postbuckling of FGM cylindrical shells in thermal environments International Journal of Non-Linear Mechanics 44 2009 644 657
38. R.C. Batra, and A. Bahrami Inflation and eversion of functionally graded non-linear elastic incompressible circular cylinders International Journal of Non-Linear Mechanics 44 2009 311 323
39. Y.S. Touloukian Thermo Physical Properties of High Temperature Solid Materials 1967 McMillan New York
40. V.L. Agamirov Dynamic Problems of Nonlinear Shells Theory 1990 Nauka Moscow (in Russian)