Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Concept of Stability Read chapter Read first chapter

2018 | OriginalPaper | Chapter

7. Buckling of Spherical Shells

Author : M. Reza Eslami

Published in: Buckling and Postbuckling of Beams, Plates, and Shells

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Spherical shells, as part of structural systems, are frequently used in many structural design problems. This type of shells is capable to stand high internal or external pressures and is especially quite stable under external pressures. The behavior of deep spherical shells, in particular, under external pressure is quite unique and the bifurcation load is far from expectation. Ancient spherical domes with wide spans in historic buildings is a good example of such structure to show its remarkable stability feature. Spherical shells used in the industrial applications are exposed to different types of mechanical or thermal loads. Under these circumstances, it is necessary to predict the critical mechanical and/or thermal buckling loads of spherical shells. Closed form solutions for the buckling loads are valuable tools for designer in the design stage. This chapter presents the methods to calculate critical buckling temperatures or pressures in spherical shell made of isotropic and functionally graded materials for both perfect and imperfect shells.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
previous chapter Buckling of Circular Cylindrical Shells
next chapter Buckling of Conical Shells
Literature
1.
Brush, D. O., & Almroth, B. O. (1975). Buckling of bars, plates, and shells. New York: McGraw-Hill.MATH
2.
Eslami, M. R. (2010). Thermo-mechanical buckling of composite plates and shells. Tehran: Amirkabir University Press.
3.
Ghaedi, P., Eslami, M. R., & Jahanbakhsh, J. (2012). Thermoelastic stability analysis of imperfect functionally graded shallow spherical shell. Journal of Nonlinear Engineering, 1(1), 11–24.
4.
Shahsiah, R., & Eslami, M. R. (2003). Thermal and mechanical istability of an imperfect shallow spherical cap. Journal of Thermal Stresses, 26, 723–737.CrossRef
5.
Donnell, L. H. (1977). Beams, plates and shells. New York: McGraw-Hill.MATH
6.
Morris, N. F. (1996). Shell stability; the long road from theory to practice. Journal of Engineering Structures, 18, 801–806.CrossRef
7.
Eslami, M. R., Ghorbani, H. R., & Shakeri, M. (2001). Thermoelastic buckling of thin spherical shells. Journal of Thermal Stresses, 24(12), 1177–1198.CrossRef
8.
Zoelly, R. (1915). Ueber ein Krichungra Problem und der Kugclschale, Thesis, Switzerland.
9.
von Karman, T., & Tsien, H. S. (1939). The buckling of spherical shells by external pressure. Journal of the Aeronautical Sciences, 7, 43–50.CrossRefMATHMathSciNet
10.
Kaplan, A. (1974). Buckling of spherical shells, thin-shell structures theory; experiment and design (pp. 247–288). Englewood Cliffs: Prentice-Hall.
11.
Budiansky, B., & Roth, R. S. (1962). Axisymmetric dynamic buckling of clamped shallow spherical caps. Washington: NASA TN.
12.
Weinitschke, H. J. (1962). Asymmetric Buckling of Clamped Shallow Spherical Shell, NASA TND-1510 (pp. 481–490).
13.
Huang, N. C. (1964). Unsymmetrical buckling of thin shallow spherical shells. ASME Journal of Applied Mechanics, 31, 447–457.CrossRefMathSciNet
14.
15.
16.
Anderson, M.S., Thermal Buckling of Cylinders, Collected Papers on Instability of Shell Structures NASA TN-D-1510, pp. 255-265, 1962.
17.
Kovalenko, A. D., & Alblas, J. B. (1969). Thermoelasticity, basic theory and applications, appendix on thermoelastic stability. Groningen: Wolters-Noordhoff Publications.
18.
Muc, A. (1989). Transverse shear effects in stability problems of laminated shallow shells. Composite structures (Vol. 12, pp. 171–180). Amsterdam: Elsevier Science Publishers Ltd.
19.
Jahanbakhsh, J., Eslami, M. R., & Ghaedi, P. (2012). Thermal buckling of imperfect deep functionally graded spherical shell. Journal of Thermal Stresses, 35, 921–946.CrossRef
20.
Ganapathi, M., & Varadan, T. K. (1982). Dynamic buckling of orthotropic shallow spherical shells. Computer and structures (Vol. 15, pp. 517–520).
21.
Ganapathi, M., & Varadan, T. K. (1995). Dynamic buckling of laminated anisotropic spherical caps. Journal of Applied Mechanics, 62(1), 13–19.CrossRefMATH
22.
Muc, Aleksander. (1992). On the buckling of composite shells of revolution under external pressure. Composite structures, 21, 107–119.CrossRef
23.
Love, A. E. H. (1888). On the small free vibration and deformation of elastic shells. Philosophical Transactions of the Royal Society (London), serie A(17), 491–549.CrossRefMATH
24.
Pandey, M. D., & Sherboune, A. N. (1991). Imperfection sensitivity of optimized laminated composite shells: A physical approach. International Journal of Solids and Structures, 27(12), 1575–1595.CrossRef
25.
Palassopoulos, G. V. (1993). New approach to buckling of imperfection sensitive structures. Journal of the Engineering Mechanics, 119(4), 850–869.CrossRef
26.
Kasagi, A., & Sridharan, S. (1995). Imperfection sensitivity of layered composite cylinders. Journal of Engineering Mechanics, 121(7), 810–818.CrossRef
27.
Mirzavand, B., & Eslami, M. R. (2008). Thermoelastic stability analysis of imperfect functionally graded cylindrical shells. Journal of Mechanics of Materials and Structures, 3(8), 1561–1572.CrossRef
28.
Timoshenko, S. P., & Gere, J. M. (1961). Theory of elastic stability. New York: McGraw-Hill.
29.
Incropera, F. P. (2007). Fundamental of heat and mass transfer. New York: Wiley.
30.
Hetnarski, R. B., & Eslami, M. R. (2009). Thermal stresses-advanced theory and applications. New York: Springer.MATH
31.
Prakash, T., Maloy, K. S., & Ganapathi, M. (2007). Nonlinear dynamic thermal buckling of functionally graded spherical caps. AIAA Journal, 45(2), 505–508.CrossRef
32.
Shahsiah, R., Eslami, M. R., & Sabzikar Boroujerdy, M. (2011). Thermal instability of functionally graded deep spherical shells. Archive of Applied Mechanics, 81(10), 1455–1471.CrossRefMATH
33.
Hafezalkotob, A., & Eslami, M. R. (2011). Thermomechanical buckling of simply supported shallow fgm spherical shells with temperature-dependent material. Transactions of the ISME, 11(2), 39–65.
34.
Flugge, W. (1932). The stability of the cylindrical shells. Ingenieur Archiv, 3(5), 463–506.CrossRef
35.
Lundquist, E. E. (1933). Strength tests of thin walled duraliumin cylinders in compression. NACA Report 473.
36.
Donnell, L. H. (1934). A new theory for the buckling of thin cylinders under axial compression and bending. Transactions of the ASME, 56, 795–806.
37.
Donnell, L. H., & Wan, C. C. (1950). Effect of imperfections on buckling of thin cylinders and columns under axial compression. Journal of Applied Mechanics ASME, 17, 73–83.MATH
38.
Donnell, L. H. (1956). Effect of imperfections on buckling of thin cylinders under external pressure. Journal of Applied Mechanics ASME, 23, 569–575.MATHMathSciNet
39.
Wunderlich, W., & Albertin, U. (2002). Buckling behaviour of imperfect spherical shells. International Journal of Non-Linear Mechanics, 37, 589–604.CrossRefMATH
40.
Nie, G. H. (2003). On the buckling of imperfect squarely-reticulated shallow spherical shells supported by elastic media. Thin-Walled Structures, 41, 1–13.CrossRef
41.
Nie, G. H. (2003). Analysis of non-linear behaviour of imperfect shallow spherical shells on Pasternak foundation by the asymptotic iteration method. International Journal of Pressure Vessels and Piping, 80, 229–235.CrossRef
42.
Shahsiah, R., Eslami, M. R., & Naj, R. (2006). Thermal instability of functionally graded shallow spherical shell. Journal of Thermal Stresses, 29(8), 771–790.CrossRef
43.
Kao, R. (1981). Nonlinear creep buckling analysis of initially imperfect shallow spherical shells. Computers and Structures, 14(1–2), 111–122.CrossRefMATH
44.
Batista, M., & Kosel, F. (2006). Thermoelastic stability of a double-layered spherical shell. International Journal of Non-Linear Mechanics, 41, 1016–1027.CrossRefMATH
45.
Dumir, P. C., Dube, G. P., & Mallick, A. (2005). Axisymmetric buckling of laminated thick annular spherical cap. Nonlinear Science and Numerical Simulation, 10(2), 191–204.CrossRefMATH
46.
Hamed, E., Bradford, M. A., & Ian Gilbert, R. (2010). Nonlinear long-term behaviour of spherical shallow thin-walled concrete shells of revolution. International Journal of Solids and Structures, 47(2), 204–215.CrossRefMATH
47.
Krizhevsky, G., & Stavsky, Y. (1995). Refined theory for non-linear buckling of heated composite shallow spherical shells. Computers and Structures, 55(6), 1007–1014.CrossRefMATH
48.
Enclyclopedia of Thermal Stresses. (2013). Edit. R.B., Springer, The Netherlands: Hetnarski.
49.
Liew, K. M., Yang, J., & Kitipornchai, S. (2003). Postbuckling of piezoelectric FGM plates subject to thermo-electro-mechanical loading. International Journal of Solids and Structures, 40, 3869–3892.CrossRefMATH
50.
Shen, H. S. (2005). Postbuckling of FGM plates with piezoelectric actuators under thermo-electro-mechanical loadings. International Journal of Solids and Structures, 42, 6101–6121.CrossRefMATH
51.
Shen, H. S. (2002). Postbuckling of axially loaded FGM hybrid cylindrical shells in thermal environments. Composites Science and Technology, 65, 1675–1690.CrossRef
52.
Shen, H. S., & Noda, N. (2007). Postbuckling of pressure-loaded FGM hybrid cylindrical shells in thermal environments. Composite Structures, 77(4), 546–560.CrossRef
53.
Mirzavand, B., & Eslami, M. R. (2007). Thermal buckling of simply supported piezoelectric FGM cylindrical shells. Journal of Thermal Stresses, 30(11), 1117–1135.CrossRef
54.
Mirzavand, B., & Eslami, M. R. (2010). Dynamic thermal postbuckling analysis of piezoelectric functionally graded cylindrical shells. Journal of Thermal Stresses, 33(7), 646–660.CrossRef
55.
56.
57.
Ravikiran, K., & Ganesan, N. (2005). A theoretical analysis of linear thermoelastic buckling of composite hemispherical shell with a cut-out at apex. Composite Structures, 68(1), 87101.
58.
59.
Bich, D. H., & Tung, H. V. (2011). Non-linear axisymmetric response of functionally graded shallow spherical shells under uniform external pressure including temperature effects. International Journal of Non-Linear Mechanics, 46, 1195–1204.CrossRef
Metadata
Title
Buckling of Spherical Shells
Author
M. Reza Eslami
Copyright Year
2018
Book
Buckling and Postbuckling of Beams, Plates, and Shells

Print ISBN: 978-3-319-62367-2

Electronic ISBN: 978-3-319-62368-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-62368-9_7

Premium Partners

    Image Credits