Skip to main content

Simplified Methods for the Steady State Inelastic Analysis of Cyclically Loaded Structures

  • Chapter
Inelastic Analysis of Structures under Variable Loads

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 83))

Abstract

Structures, nowadays, in order to increase efficiency, are being pushed to operate in higher and higher levels of loads and temperature. In the design of such structures like nuclear reactors, aircraft gas turbine propulsion engines, etc, a prediction of the inevitable accumulation of creep and plastic strains throughout their life is necessary.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Melan, E. (1938) Zur Plastizität des räumlichen Kontinuums, Ing. Archiv. 8, 116–126.

    Article  Google Scholar 

  2. Leckie, F. A. and Ponter, A.R.S. (1970) Deformation bounds for bodies which creep in the plastic range, J. Appl. Mech. 37, 426–430.

    Article  Google Scholar 

  3. Leckie, F. A and Ponter, A.R.S. (1972) Theoretical and experimental investigation of the relationship between plastic and creep deformation of structures, Arch. Mechanics 24, 419–437.

    MATH  Google Scholar 

  4. Ponter, AR.S. (1972) Deformation, displacement, and work bounds for structures in a state of creep and subject to variable loading, J. Appl. Mech. 39, 953–958.

    Article  Google Scholar 

  5. Ainsworth, R.A. (1977) Bounding solutions for creeping structures subjected to load variations above the shakedown limit, Int. J. Solids Structures 13, 971–980.

    Article  MathSciNet  MATH  Google Scholar 

  6. Ponter, A.R.S. (1976) The analysis of cyclically loaded creeping structures for short cycle times, Int. J. Solids Structures 12, 809–825.

    Article  MATH  Google Scholar 

  7. Ponter, A.R.S. and Brown, P.R. (1978) The finite element solution of rapid cycling creep problems, Int. J. Num. Meth. Engin. 12, 1001–1024.

    Article  MATH  Google Scholar 

  8. Chan, A.S.L. and Spiliopoulos, K.V. (1987) A simplified method of solution for the short cycle creep- plasticity problem, Comp. Meth. Appl. Mech. Engng 60, 257–274.

    Article  MATH  Google Scholar 

  9. Spiliopoulos, K.V. (1993) Numerical implementation of smplified methods of inelastic analysis of structures subjected to short period loads, Proc 12 th SmiRTConf, L11/7, 273–278.

    Google Scholar 

  10. Spiliopoulos, K.V. (1984) Estimation of accumulated creep deformation for structures subjected to cyclic change of loading in the plastic range, Ph.D. Thesis, University of London.

    Google Scholar 

  11. Drucker, D.C. (1959) A definition of stable inelastic material, J. Appl. Mech. 26, 101–106.

    MathSciNet  MATH  Google Scholar 

  12. Frederick, C. O. and Armstrong P.J. (1966) Convergent internal stresses and steady cyclic states of stress, Journ. of Strain Analysis 1, 154–169.

    Article  Google Scholar 

  13. Ponter, A.R.S. (1973) On the stress analysis of creeping structures subject to variable loading, J. Appl. Mech. 40, 589–594.

    Article  MATH  Google Scholar 

  14. Kraus, H (1980) Creep analysis, John Wiley & Sons, USA.

    Google Scholar 

  15. Lubliner, J ( 1990; Plasticity theory, Macmllan Publishing Company, USA.

    MATH  Google Scholar 

  16. Grafton, P.E. and Strome, D.R. (1963) Analysis of axisymmetrical shells by the direct stiffness method, A.I.AA Journ. 1, 2342–2347.

    MATH  Google Scholar 

  17. Cyras, A. A. (1983) Mathematical models for the analysis and optimization of elastoplastic structures, Ellis Horwood Ltd, England.

    MATH  Google Scholar 

  18. Tolstov, G.P. (1962) Fourier series, Dover Publications, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Kluwer Academic Publishers

About this chapter

Cite this chapter

Spiliopoulos, K.V. (2000). Simplified Methods for the Steady State Inelastic Analysis of Cyclically Loaded Structures. In: Weichert, D., Maier, G. (eds) Inelastic Analysis of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9421-4_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-9421-4_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0382-0

  • Online ISBN: 978-94-010-9421-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics