Buckling of FGM hybrid truncated conical shells subjected to hydrostatic pressure

Thin-Walled Structures

Volumn 47, Issue 1, 2009, Pages 61-72

  Sofiyev, A H ^a   Kuruoglu, N ^b   Turkmen, M ^a  

^a SULEYMAN DEMIREL UNIVERSITY   (Turkey)

^b BAHCESEHIR UNIVERSITY   (Turkey)

Author keywords

Buckling; Critical load; FGMs; Hydrostatic pressure; Truncated conical shell

Indexed keywords

BUCKLING; GALERKIN METHODS; HYDRAULICS; HYDRODYNAMICS; HYDROSTATIC PRESSURE; NUMERICAL ANALYSIS; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES); SILICON; TITRATION;

ARBITRARY DISTRIBUTIONS; BUCKLING PRESSURES; COMPATIBILITY EQUATIONS; CONICAL SHELLS; CRITICAL LOAD; FGMS; FUNCTIONALLY GRADED; GALERKIN'S METHODS; MATERIAL PROPERTIES; NUMERICAL CALCULATIONS; TI-6AL-4V; TRUNCATED CONICAL SHELL; VOLUME FRACTION DISTRIBUTIONS;

FUNCTIONALLY GRADED MATERIALS;

EID: 56949093155     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tws.2008.05.006     Document Type: Article

References (52)

1. Niordson F.I.N. Buckling of conical shells subjected to uniform external lateral pressure. Trans R Inst Technol, Stockholm 10 (1947) 1-21
2. Mushtari KM, Sachenkov AV. Stability of cylindrical and conical shells of circular cross section with simultaneous action of axial compression and external normal pressure. NASA TM-1433 (1958) [Original published in Prikladnaia Matematika and Mekhanika 1954;18:667-74].
3. Seide P. On the buckling of truncated conical shells under uniform hydrostatic pressure. In: Proceedings of the IUTAM symposium on the theory of thin elastic shells, Deft, 1959, Amsterdam: North-Holland Pub. Co.; 1960. p. 363-8.
4. Singer J. Buckling of circular conical shells under axisymmetrical external pressure. J Mech Eng Sci 3 (1961) 330-339
5. Singer J. The effect of axial constraint on the instability of thin conical shells under external pressure. J Appl Mech (1962) 212-214
6. Thurston G.A. Effect boundary conditions on the buckling of conical shells under hydrostatic pressure. J Appl Mech 1 (1965) 208-209
7. Baruch M., Harari O., and Singer J. Influence of in-plane boundary conditions on the stability of conical shells under hydrostatic pressure. Israel J Technol 5 (1967) 12-24
8. Volmir AS. Stability of elastic systems, Nauka, Moscow. English translation: Foreign Tech. Division, Air Force Systems Command. Wright-Patterson Air Force Base, Ohio, AD 628508, 1967.
9. Tani J, Yamaki N. Buckling of truncated conical shells under hydrostatic pressure. The report of the Institute of High Speed Mechanics, Tohoku University, Sendai, Japan 2, 1969. p. 235-61.
10. Agamirov V.L. Dynamic problems of nonlinear shells theory (1990), Nauka, Moscow [in Russian]
11. Wang H., and Wang T.K. Stability of laminated composite circular conical shells under external pressure. Appl Math Mech Engl Ed 12 (1991) 153-161
12. Tong L., Tabarrok B., and Wang T.K. Simple solution for buckling of orthotropic conical shells. Int J Solid Struct 29 (1992) 933-946
13. Goldfeld Y., and Arbocz J. Buckling of laminated conical shells given the variations of the stiffness coefficients. AIAA J 42 (2004) 642-649
14. Noda N. Thermal stresses in materials with temperature-dependent properties. Appl Mech Rev 44 (1991) 383-397
15. Koizumi M. The concept of FGM. In: Holt J.B., Koizumi M., Hirai T., and Munir Z.A. (Eds). Ceramic transactions, functionally gradient materials vol. 34 (1993), American Society, Westerville, OH 3-10
16. Obata Y., and Noda N. Optimum material design for functionally gradient material plate. Arch Appl Mech 66 (1996) 581-589
17. Suresh S., and Mortensen A. Fundamentals of functionally graded materials (1998), Institute of Materials (IOM) Communications Limited, London
18. Wetherhold R.C., Seelman S., and Wang J.Z. Use of functionally graded materials to eliminate or control thermal deformation. Compos Sci Technol 56 (1996) 1099-1144
19. Birman V. Buckling of functionally graded hybrid composite plates. In: Proceedings of the 10th conference on engineering mechanics, Boulder, USA, 1995. p. 1199-202.
20. Feldman E., and Aboudi J. Buckling analysis of functionally graded plates subjected to uniaxial loading. Compos Struct 38 (1997) 29-36
21. Reddy J.N., and Chin C.D. Thermal-mechanical analysis of functionally graded cylinders and plates. J Therm Stresses 21 (1998) 593-626
22. Praveen G.N., and Reddy J.N. Nonlinear transient thermal elastic analysis of functionally graded ceramic-metal plates. Int J Solids Struct 35 (1998) 4457-4476
23. Reddy J.N. Analysis of functionally graded plates. Int J Numer Meth Eng 47 (2000) 663-684
24. Pitakthapanaphong S., and Busso E.P. Self-consistent elasto-plastic stress solutions for functionally graded material systems subjected to thermal transients. J Mech Phys Solids 50 (2002) 695-716
25. Javaheri R., and Eslami M.R. Buckling of functionally graded plates under in plane compressive loading. J Appl Math Phys (ZAMM) 82 (2002) 277-283
26. Liew KM, He XQ, Ray T. Computational intelligence for shape control of FGM smart plates. In: Proceedings of the 7th US national congress of computational mechanics, New Mexico, USA, 2003.
27. Vel S.S., and Batra R.C. Three-dimensional exact solution for the vibration of functionally graded rectangular plates. J Sound Vibr 272 (2004) 705-730
28. Kitipornchai S., Yang J., and Liew K.M. Semi analytical for nonlinear vibration of laminated FGM plates with geometric imperfections. Int J Solids Struct 41 (2004) 2235-2257
29. Ramirez F., Heyliger P.R., and Pan E. Static analysis of functionally graded elastic anisotropic plates using a discrete layer approach. Composites: Part B Eng 37 (2006) 10-20
30. Samsam Shariat B.A., and Eslami M.R. Buckling of thick functionally graded plates under mechanical and thermal loads. Compos Struct 78 (2007) 433-439
31. Li S.R., Zhang J.H., and Zhao Y.G. Nonlinear thermo-mechanical post-buckling of circular FGM plate with geometric imperfection. Thin Walled Struct 5 (2007) 528-536
32. k. Int J Solid Struct 45 (2008) 191-210
33. Loy C.T., Lam J.N., and Reddy J.N. Vibration of functionally graded cylindrical shells. Int J Mech Sci 41 (1999) 309-324
34. Pradhan S.C., Loy C.T., Lam K.Y., and Reddy J.N. Vibration characteristics of functionally graded cylindrical shells under various boundary conditions. Appl Acoust 61 (2000) 119-129
35. Ng T.Y., Lam K.Y., Liew K.M., and Reddy J.N. Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading. Int J Solid Struct 38 (2001) 1295-1309
36. Woo J., and Meguid S.A. Thermo-mechanical post-buckling analysis of functionally graded plates and shallow cylindrical shells. Acta Mech 165 (2003) 99-115
37. Patel B.P., Gupta M.S., Loknath M.S., and Kadu C.P. Free vibration analysis of a functionally graded elliptical cylindrical shells using higher-order theory. Compos Struct 69 (2005) 259-270
38. Haddadpour H., Mahmoudkhani S., and Navazi H.M. Free vibration analysis of functionally graded cylindrical shells including thermal effects. Thin-Walled Struct 45 (2007) 591-599
39. Sofiyev A.H. Dynamic buckling of functionally graded cylindrical shells under non-periodic impulsive loading. Acta Mech 165 (2003) 151-163
40. Shen H.S. Post-buckling analysis of pressure loaded functionally graded cylindrical shells in thermal environments. Eng Struct 25 (2003) 487-497
41. Yang J., Liew K.M., Wu Y.F., and Kitipornchai S. Thermo-mechanical post-buckling of FGM cylindrical panels with temperature-dependent properties. Int J Solids Struct 43 (2006) 307-324
42. Shen H.S., and Noda N. Post-buckling of pressure-loaded FGM hybrid cylindrical shell in thermal environments. Compos Struct 77 (2007) 546-560
43. Sofiyev A.H. The stability of functionally graded truncated conical shells subjected to a-periodic impulsive loading. Int J Solids Struct 41 (2004) 3411-3424
44. Sofiyev A.H. The buckling of functionally graded truncated conical shells under dynamic axial loading. J Sound Vibr 305 (2007) 808-826
45. Patel B.P., Shukla K.K., and Nath Y. Thermal-elastic buckling analysis of laminated cross-ply truncated circular conical shells. Compos Struct 71 (2005) 101-114
46. Bhangale R.K., Ganesan R.K., and Padmanabhan C. Linear thermo-elastic buckling and free vibration behavior of FG truncated conical shell. J Sound Vibr 292 (2006) 341-371
47. Sofiyev A.H., Deniz A., Akcay I.H., and Yusufoglu E. The vibration and stability of a three-layered conical shell containing a FGM layer subjected to axial compressive load. Acta Mech 183 (2006) 129-134
48. Sofiyev A.H., Zerin Z., and Korkmaz A. The stability of a thin three-layered composite truncated conical shell containing an FCM layer subjected to non-uniform lateral pressure. Compos Struct 85 (2008) 105-115
49. Touloukian Y.S. Thermo-physical properties of high temperature solid materials (1967), Macmillan, New York
50. Hutchinson J.W., and Amazigo J.C. Imperfection-sensitivity of eccentrically stiffened cylindrical shells. AIAA J 5 (1967) 392-401
51. Kasagi A., and Sridharan S. Buckling and post-buckling analysis of thick composite cylindrical shells under hydrostatic pressure. Compos Eng 3 (1993) 467-487
52. Batdorf SB. A simplified method of elastic-stability analysis for thin cylindrical shells, NACA TR-874; 1947.