A finite element implementation of rapid cycle analysis is described and demonstrated. It forms part of a comprehensive framework for static structural analysis which consists of: linear elastic analysis, limit load or nonlinear elastic analysis, and rapid cycle analysis. This approach allows for complex material and loading behavior, but is computationally more efficient and easier to perform than full inelastic analysis. It indicates more complex behavior than can be inferred from linear elastic analysis. The objective of this paper is to calculate shakedown, reverse plasticity, ratcheting, and the increase in strain rate as a result of cyclic mechanical and thermal loading. Results are presented in the form of interaction diagrams, similar to the O’Donnell-Porowski plot in the ASME BPV Code, which are effective design tools. [S0094-9930(00)01604-8]

1.
Ponter
,
A. R. S.
,
1972
, “
Deformation, Displacement and Work Bounds for Structures in a State of Creep and Subject to Variable Loading
,”
J. Appl. Mech.
,
39
, pp.
953
963
.
2.
Ainsworth
,
R. A.
,
1977
, “
Bounding Solutions for Creeping Structures Subjected to Load Variations above the Shakedown Limit”
,
Int. J. Solids Struct.
,
13
, pp.
971
980
.
3.
Carter
,
P.
,
1985
, “
Bounding Theorems for Creep-Plasticity
,”
Int. J. Solids Struct.
,
21
, pp.
527
543
.
4.
Bree
,
J.
,
1967
, “
Elastic-Plastic Behavior of Thin Tubes Subjected to High Internal Pressure and Intermittent High Heat Fluxes with Applications to Fast-Nuclear-Reactor Fuel Elements
,”
J. Strain Anal.
,
2
, No.
3
, pp.
226
238
.
5.
O’Donnell, W. J., and Porowoski, J. S., 1981, “Biaxial Model for Bounding Creep Ratcheting, ORNL Report ORNL/Sub7322/2, ORNL, Oak Ridge, TN.
6.
ASME III Division I Subsection NH. Appendix T, 1998.
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