On the effect of the Poisson's ratio (positive and negative) on the stability of pressure vessel heads

Physica Status Solidi (B) Basic Research

Volumn 246, Issue 9, 2009, Pages 2025-2032

  Ellul, Brian ^a   Muscat, Martin ^a   Grima, Joseph N ^a  

^a UNIVERSITY OF MALTA   (Malta)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 76849093976     PISSN: 03701972     EISSN: 15213951     Source Type: Journal    
DOI: 10.1002/pssb.200982033     Document Type: Article

References (55)

1. R.S. Lakes, Science 235, 1038 (1987).
2. F. Scarpa and F.C. Smith, J. Intel. Mater. Syst. Str. 15(12), 973 (2004).
3. K.E. Evans, M.A. Nkansah, I.J. Hutchinson, and S.C. Rogers, Nature 353, 124 (1991).
4. F. Scarpa and G. Tomlinson, J. Sound Vib. 230(1), 45 (2000).
5. L.J. Gibson, M.F. Ashby, G.S. Schajer, and C.I. Robertson, Proc. R. Soc. Lond. A 382, 25 (1982).
6. F. Scarpa, W.A. Bullough, and P. Lumley, P.I. Mech. Eng. C-J. Mech. Eng. Sci. 218(2), 241 (2004).
7. F. Scarpa, L.G. Ciffo, and J.R. Yates, Smart Mater. Struct. 13(1), 49 (2004).
8. R.F. Almgren, J. Elast. 15(4), 427 (1985).
9. D. Prall and R.S. Lakes, Int. J. Mech. Sci. 39(3), 305 (1997).
10. A. Spadoni, M. Ruzzene, and F. Scarpa, Phys. Status Solidi B 242(3), 695 (2005).
11. K.W. Wojciechowski, Mol. Phys. 61(5), 1247 (1987).
12. K.W. Wojciechowski and A.C. Brańka, Phys. Rev. A 40(12), 7222 (1989).
13. K.W. Wojciechowski, J. Phys. A: Math. Gen. 36(47), 11765 (2003).
14. C.B. He, P.W. Liu, P.J. McMullan, and A.C. Griffin, Phys. Status Solidi B 242(3), 576 (2005).
15. N. Gaspar, C.W. Smith, E.A. Miller, G.T. Seidler, and K.E. Evans, Phys. Status Solidi B 242(3), 550 (2005).
16. C.W. Smith, J.N. Grima, and K.E. Evans, Acta Mater. 48(17), 4349 (2000).
17. K.E. Evans and B.D. Caddock, J. Phys. D: Appl. Phys. 22(12), 1883 (1989).
18. B.D. Caddock and K.E. Evans, J. Phys. D: Appl. Phys. 22(12), 1877 (1989).
19. A. Alderson and K.E. Evans, J. Mater. Sci. 30(13), 3319 (1995).
20. R.H. Baughman and D.S. Galvão, Nature 365(6448), 735 (1993).
21. C.B. He, P.W. Liu, and A.C. Griffin, Macromolecules 31(9), 3145 (1998).
22. J.N. Grima and K.E. Evans, Chem. Commun. 16, 1531 (2000).
23. J.N. Grima, J.J. Williams, and K.E. Evans, Chem. Commun. 32, 4065 (2005).
24. G.Y. Wei, Phys. Status. Solidi B 242(3), 742 (2005).
25. R.H. Baughman, J.M. Shacklette, A.A. Zakhidov, and S. Stafstrom, Nature 392(6674), 362 (1998).
26. A. Yeganeh-Haeri, D.J. Weidner, and D.J. Parise, Science 257(5070), 650 (1992).
27. N.R. Keskar and J.R. Chelikowsky, Phys. Rev. B 46(1), 1 (1992).
28. H. Kimizuka, H. Kaburaki, and Y. Kogure, Phys. Rev. Lett. 84(24), 5548 (2000).
29. A. Alderson and K.E. Evans, Phys. Rev. Lett. 89(22), 225503 (2002).
30. H. Kimizuka, H. Kaburaki, and Y. Kogure, Phys. Rev. B 67(2), 024105 (2003).
31. G.N. Grima, R. Gatt, A. Alderson, and K.E. Evans, J. Mater. Chem. 15, 4003 (2005).
32. K.W. Wojciechowski, A. Alderson, K.L. Alderson, B. Maruszewski, and F. Scarpa, Phys. Status Solidi B 244(3), 813 (2007).
33. K.W. Wojciechowski, A. Alderson, A. Brańka, and K.L. Alderson, Phys. Status Solidi B 242(3), 497 (2005).
34. J.N. Grima and K.W. Wojciechowski, Phys. Status Solidi B 245(11), 2369 (2008).
35. C.W. Smith and K.W. Wojciechowski, Phys. Status Solidi B 245(3), 486 (2008).
36. F. Scarpa, C.W. Smith, M. Ruzzene, and M.K. Wadee, Phys. Status Solidi B 245(3), 584 (2008).
37. M.K. Wadee, M.A. Wadee, and A.P. Bassom, J. Mech. Phys. Solids 55(5), 1086 (2007).
38. D. Bushnell, Computerized analysis of shells. (Kluwer Academic Publishers, Hingham, Dordrecht, Boston, London, 1989).
39. J. Singer and J. Arbocz, Basic concepts, columns, beams and plates, in: Buckling Experiments: Experimental Methods in Buckling of Thin Walled Structures, Vol. 1 (John Wiley & Sons, New York, 1997).
40. R.V. Southwell, Philos. Trans. R. Soc. Ser. A 213, 187 (1913).
41. M. Biot, in: Proceedings of 5th International Congress on Applied Mechanics, Cambridge, USA, 1939, Part B (Wiley, New York, 1939), pp. 117-122.
42. G.D. Galletly and R.W. Aylward, Int. J. Pres. Ves. Pip. 1(2), 139 (1973).
43. P.R. Patel and S.S. Gill, Int. J. Mech. Sci. 20(3), 159 (1978).
44. J. Sorić, Thin-Walled Struct. 23(1-4), 57 (1995).
45. A. Tafreshi, Int. J. Pres. Ves. Pip. 71(1), 77 (1997).
46. Y.Q. Ma, C.M. Wang, and K.K. Ang, Thin-Walled Struct. 46(6), 584 (2008).
47. J.Y. Han, H.Y. Jung, J.R. Cho, J.H. Choi, and W.B. Bae, J. Mater. Process. Tech. 201(1-3), 742 (2008).
48. G.D. Galletly, Stress failure of large pressure vessels - Recommendations resulting from studies of the collapse of a 68ft high × 45ft dia. pressure vessel, Tech. Report No 45-57, Shell Development Corp., Emeryville, California, 1957.
49. S.P. Timoshenko and J.M. Gere, Theory of Elastic Stability, 2nd edition, (McGraw-Hill, Singapore, 1961), pp. 512-517.
50. R. Zoelly, Über ein Knickungsproblem an die Kugelschale, Dissertation, Zürich, 1915.
51. H. Obrecht, B. Rosenthal, P. Fuchs, S. Lange, and C. Marusczyk, Comput. Mech. 37(6), 498 (2006).
52. ANSYS® Academic Research, v. 11.0.
53. C.D. Miller, R.B. Grove, and J.G. Bennett, Int. J. Pres. Ves. Pip. 22(2), 147 (1986).
54. G.D. Galletly and J. Blachut, Proc. Inst. Mech. Eng. Part C 199(3), 225 (1985).
55. R.J. Bellifante and R.R. Meyer, Fabrication and experimental evaluation of common domes having waffle-like stiffening. Part I - program development, Tech. Report No. NASA-CR-62257; SM-47742, PT. 1, Douglas Aircraft Company Inc., Santa Monica, California, 1964.