Skip to main content

The Effects of Thermal Loading on the Deformation of Shell Structures

  • Conference paper
Inelastic Behaviour of Plates and Shells

Summary

The effect of severe cyclic thermal loading on the plastic and creep deformation of shell structures may be understood through the use of shakedown theory and its extension to time dependent material properties. The paper discusses methods of estimating shakedown limits, deformation in excess of shakedown, and steady state creep strain rates using solution technique based on this theory with the objective of forming a broad understanding of the material and structural phenomena involved. The incentive for this work arises from problems associated with the structural design of the U.K. Commercial Sodium Cooled Fast-Breeder Reactors.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Holmes, J.A.G.: “High temperature problems associated with the design of the commercial fast reactor”, Creep in Structures (Ed. Ponter, A.R.S. and Hayhurst, D.R.). Springer-Verlag, Berlin (1981) pp 279–287.

    Google Scholar 

  2. Loiter, W.T.: “General Theorems for elastic-plastic solids”, Progress in Solid Mechanics (Ed. Hill, R. and Sneddon, I.) North Holland Press, 1960, pl67.

    Google Scholar 

  3. Prager, W.: “Shakedown in elastic-plastic media subjected to cycles of load and temperature”, Symposium Su la Plasticita’ Nella Scienza Delle Construzioni, Bologna, 1957, pp 239–244.

    Google Scholar 

  4. Ponter, A.R.S.: “Deformation, displacement and work bounds for structures in a state of creep and subjected to variable loading”, Trans ASME, Jn. Appl. Mech., Vol. 39, 1972, pp 953.

    Article  Google Scholar 

  5. Ponter, A.R.S.: “Deformation bounds for the Bailey-Orowan theory of creep”, Trans ASME, Jn. Appl. Mech. Vol. 42, 1975, p.619.

    Article  MATH  Google Scholar 

  6. Ponter, A.R.S.: “The analysis of cyclically loaded creeping structure for short cycle times”, Int. Jn. Solids and Structures, Vol. 12, (1976) p.809.

    Article  MATH  Google Scholar 

  7. Bree, J.: “Elastic-plastic behaviour of thin tubes subjected to internal pressure and intermittent high heat fluxes with application to fast nuclear reactor fuel elements”. J. Strain Analysis, Vol. 2., 1967, pp 226–238.

    Article  Google Scholar 

  8. Ponter, A.R.S. and Karadeniz, S.: “An extended shakedown theory for structures which suffer cyclic thermal loading”, Part I and II, to appear Trans ASME, Jn. Applied Mech. 1985.

    Google Scholar 

  9. Karadeniz, S. and Ponter, A.R.S.: “A linear programming upper bound approach to the shakedown limit of thin shells subjected to variable thermal loading”, Jn. Of Strain Analysis, Vol. 19, 1984, pp. 221–230.

    Article  Google Scholar 

  10. Karadeniz, S.: Phd. Thesis, University of Leicester, 1984.

    Google Scholar 

  11. Bell, R.T.: “Ratcheting experiments on thin cylinders subjected to axially moving temperature fronts”, UKAEA, Risley Nuclear Power Development Establishment, Report ND-R-835(R), Risley, U.K., Oct. 1980.

    Google Scholar 

  12. Ponter, A.R.S. and Cocks, A. C. F.: “The incremental strain growth of an elastic-plastic body loaded in excess of the shakedown limit”. Trans ASME, Jn of Appl. Mech., Paper WA/APM-10, 1984.

    Google Scholar 

  13. Ponter, A. R. S. and Cocks, A. C. F.: “The incremental strain growth of elastic- plastic bodies subjected to high levels of cyclic thermal loading”, Trans ASME, Jn. of Appl., Mech., Paper WA/APM-11 1984.

    Google Scholar 

  14. Cocks, A. F. and Ponter, A. R. S.: “The accumulation of plastic strains in excess of the shakedown limit for weakly strain hardening materials”, to appear.

    Google Scholar 

  15. Odquist, F. K. G.: “Mathematical Theory of Creep and Creep Rupture” Oxford University Press, 2nd edition, 1974.

    Google Scholar 

  16. Ponter A. R. S., Jakeman R. R. and Morrison C. J.: “An experimental study of simplified methods for the prediction of the deformation of structures subject to severe cyclic thermal loading”, to appear Jn of Strain Analysis, 1985.

    Google Scholar 

  17. Jakeman R. R., and Ponter A. R. S.: “Comparisons of available creep structural ratchetting data and the consequences for fast reactor design”, to appear.

    Google Scholar 

  18. Ponter, A. R. S. and Megahed, M. M.: “Creep and plastic ratchetting in cyclically thermally loaded structures”, IUTAM Symposium on Physical Non-Linearities in Structural Analysis”, Senlis 1980 (Ed. Hult J. and J. Lemaitre), Springer Verlag, Berlin, 1981, pp220–227.

    Google Scholar 

  19. Megahed, M. M., Ponter, A. R. S. and Morrison C. J.: “An experimental and theoretical investigation into the creep properties of a simple structure of 316 stainless steel”, Int. Jn. Mech. Sci., Vol.26, No.3 1984, ppl49–164.

    Article  Google Scholar 

  20. Ainsworth, R. A: “An experimental study of a three bar structure subjected to variable temperature”, Int. Jn. Mech. Sci., Vol 19. 1977, pp247–256.

    Article  Google Scholar 

  21. Corum, J.M., Young, H C. and Grindell, A.C: “Thermal ratchetting in pipes subjected to intermittent thermal downshock at elevated temperatures”. 2nd Nat. Cong, of Press. Vess. Piping, San Francisco, Cal., ASME 1975, pp 47–58.

    Google Scholar 

  22. Corum, J. M;: “Material property data for elastic-plastic creep analysis of benchmark problems”, ibid, pp99–109.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer, Berlin Heidelberg

About this paper

Cite this paper

Ponter, A.R.S., Carter, K.F., Karadeniz, S. (1986). The Effects of Thermal Loading on the Deformation of Shell Structures. In: Bevilacqua, L., Feijóo, R., Valid, R. (eds) Inelastic Behaviour of Plates and Shells. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82776-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-82776-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82778-5

  • Online ISBN: 978-3-642-82776-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics