In an accompanying paper an extended shakedown theory was described for structures subjected to constant mechanical loads and cyclically varying thermal loads, a circumstance of interest in Fast Reactor design. In this paper the upper bound theorem is used to construct interactive diagrams for a sequence of sample problems. These examples imply that for many shell problems, where the temperature variations occur along the surface, ratchetting occurs in two distinct ways. For low thermal loading the structure deforms in the same mechanism that occurs at plastic collapse when only the mechanical loads are applied. For high levels of thermal loading the mechanism changes to a local concentration of strain. This behavior differs significantly from that of the Bree problem. In one example this mechanism involves through-thickness shear deformation of a plate; as a consequence the use of thin shell theory which ignores shear deformation in numerical solutions of problems of this type is likely to result in nonconservative estimates of inelastic deformations.
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December 1985
Research Papers
An Extended Shakedown Theory for Structures That Suffer Cyclic Thermal Loading, Part 2: Applications
A. R. S. Ponter,
A. R. S. Ponter
Leicester University, Leicester LE1 7RH, England
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S. Karadeniz
S. Karadeniz
University of Erciyes, Kayseri, Turkey
Search for other works by this author on:
A. R. S. Ponter
Leicester University, Leicester LE1 7RH, England
S. Karadeniz
University of Erciyes, Kayseri, Turkey
J. Appl. Mech. Dec 1985, 52(4): 883-889 (7 pages)
Published Online: December 1, 1985
Article history
Received:
September 1, 1983
Revised:
October 1, 1984
Online:
July 21, 2009
Citation
Ponter, A. R. S., and Karadeniz, S. (December 1, 1985). "An Extended Shakedown Theory for Structures That Suffer Cyclic Thermal Loading, Part 2: Applications." ASME. J. Appl. Mech. December 1985; 52(4): 883–889. https://doi.org/10.1115/1.3169163
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