A simple approach for calculating upper-bound shakedown loads is described. The method is based on a series of iterative elastic finite element analyses (the elastic compensation procedure) applied to Koiter’s upper-bound shakedown theorem. The method is demonstrated for a typical pressure vessel application; an axisymmetric nozzle in a spherical shell. Several geometrical configurations are investigated. The calculated upper-bound shakedown loads are compared with lower-bound results obtained by the authors, simple shakedown criteria, and various results given in the literature.

Issue Section:
Research Papers
Topics:
Stress, Finite element analysis, Nozzles, Pressure vessels, Spherical shells, Theorems (Mathematics)
1.
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An Iterative Elastic Analysis Procedure for Estimating Lower-Bound Limit Loads
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-Vol.
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8.
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D.
, and
Boyle
J. T.
,
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a, “
A Method of Estimating Limit Loads by Iterative Elastic Analysis. I—Simple Examples
,”
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,”
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10.
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c, “
A Simple Method of Estimating Shakedown Loads for Complex Structures
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ASME PVP
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11.
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A Method of Estimating Limit Loads by Iterative Elastic Analysis, II-Nozzle Sphere Intersections With Internal Pressure and Radial Load
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16.
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,”
International Journal of Pressure Vessels & Piping
, Vol.
53
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1
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142
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