Research Papers: Design and Analysis

Shakedown Analysis of Nuclear Components Using Linear and Nonlinear Methods

[+] Author and Article Information
Dan Vlaicu

 Ontario Power Generation, Pickering, ON, L1W 3J2, Canadadan.vlaicu@opg.com

J. Pressure Vessel Technol 132(2), 021203 (Jan 26, 2010) (7 pages) doi:10.1115/1.4000505 History: Received July 03, 2008; Revised September 28, 2009; Published January 26, 2010; Online January 26, 2010

A cyclically loaded structure made of elastic-plastic material is considered as an elastic shakedown if plastic straining occurs in the first few cycles and the sequent response is wholly elastic. In this paper, the finite element method is used to develop upper and lower bound limits for the elastic shakedown of structures under periodic loading conditions. Linear methods using elastic compensation approach and the residual stress method derived from Melan’s theorem are used to generate the lower bound limit for the shakedown load, while the upper bound is found through a method derived from Koiter’s theorem. Furthermore, the results are compared with cycle-by-cycle method based on nonlinear material properties.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 1

Plot between axial stress and strain

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Figure 2

Model 1: finite element mesh and pressure loads

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Figure 3

Model 1: load case 2: NSM method results

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Figure 4

Model 1: NSM method-iterative procedure

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Figure 5

Model 1: accumulated plastic strain check

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Figure 6

Model 2: finite element mesh

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Figure 7

Model 2: interaction diagram

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Figure 8

Model 2: accumulated plastic strain check

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Figure 9

Model 2: Analysis No. 3: displacements versus cycles

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Figure 10

Model 2: Analysis No. 11: displacements versus cycles



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