Bounding Methods and Applications

  • F. A. Leckie
Part of the International Centre for Mechanical Sciences book series (CISM, volume 295)


Using the constitutive equations which describe the rate of growth of damage, bounding theorems are developed which can he used to determine the failure life of components. An example of the technique is illustrated by determining the rupture life of a shell component subjected to cyclic loading.


Cyclic Loading Limit Load Rupture Life Creep Damage Creep Rupture 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Hayhurst, D. R., Trampczynski, W. A., and Leckie, F. A., “Creep Rupture under Non-Proportional Loading,” Acta Met., 28, 1981, 1171.CrossRefGoogle Scholar
  2. 2.
    F. A. Leckie and D. L. Hayhurst, “Creep Rupture of Structures,” Proc. Royal Soc., A340, 1974, 324.ADSCrossRefGoogle Scholar
  3. 3.
    Ashby, M. F. and Dyson, B. F., “Creep Damage Mechanics and Micromechanisms,” National Physical Laboratory, Report DMA/1A/77 1984.Google Scholar
  4. 4.
    Trampczynski, W. A., Hayhurst, D. R. and Leckie, F. A., “Creep Rupture of Copper and Aluminum under Non-proportional Loading,” J. Mech. Phys. Solids, 29, 1981, 353.ADSCrossRefGoogle Scholar
  5. 5.
    Ponter, A.R.S., “Upper Bounds on the Creep Rupture Life of Structures Subjected to Variable Load and Temperature,” Int. J. Mech. Sei., 19, 1977, 79Google Scholar
  6. 6.
    A.C.F. Cocks and F. A. Leckie, “Deformation Bounds for Cyclically Loaded Shell Structures Operating under Creep Conditions.” Report No. 1986, Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL.Google Scholar
  7. 7.
    Cocks, A.C.F. and Leckie, F. A., “Creep Constitutive Equations for Damaged Materials,” Theoretical and Applied Mechanics, Department Report 480, 1986.Google Scholar
  8. 8.
    P. G. Hodge, “Limit Analysis of Rotationally Symmetric Plates and Shells,” Prentice-Hall, Englewood, 1963.Google Scholar
  9. 9.
    Ponter, A.R.S. and Leckie, F. A., “The Application of Energy Theorems to Bodies which Creep in the Plastic Range,” J. Mech. 37, 1970, 753.CrossRefGoogle Scholar
  10. 10.
    Hayhurst, D. R., “Estimates of the Creep Rupture Lives of Structures Subjected to Cyclic Loading,” Int. J. Mech. Sei., Vol. 18, 1976, 75–83.CrossRefGoogle Scholar
  11. 11.
    Gokhfeld, D. A. and Cherniaysky, O. R., “Limit Analysis of Structures at Thermal Cycling,” Sijthoff and Noordhoof, Amsterdam, 1980.Google Scholar

Copyright information

© Springer-Verlag Wien 1987

Authors and Affiliations

  • F. A. Leckie
    • 1
  1. 1.Department of Theoretical and Applied MechanicsUniversity of IllinoisUrbanaUSA

Personalised recommendations