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Research Papers: Design and Analysis

Shakedown Analysis Combined With the Problem of Heat Conduction

[+] Author and Article Information
Jaan-Willem Simon1

Institute of General Mechanics,  RWTH Aachen University, D-52056 Aachen, Germanysimon@iam.rwth-aachen.de

Min Chen

Institute of General Mechanics,  RWTH Aachen University, D-52056 Aachen, Germanymin@iam.rwth-aachen.de

Dieter Weichert

Institute of General Mechanics,  RWTH Aachen University, D-52056 Aachen, Germanyweichert@iam.rwth-aachen.de

1

Corresponding author.

J. Pressure Vessel Technol 134(2), 021206 (Jan 17, 2012) (8 pages) doi:10.1115/1.4004868 History: Received February 18, 2011; Revised August 04, 2011; Published January 17, 2012; Online January 17, 2012

This paper deals with the computation of shakedown loads of engineering structures subjected to varying loads. In particular, we focus on thermal loading and the resulting heat conduction problem in combination with shakedown analysis. The analysis is based on the lower bound shakedown theorem by Melan. The calculation is carried out by use of an interior-point algorithm. Emphasis is placed on the presentation of theoretical derivations, whereas numerical aspects are out of scope. The methodology is illustrated by application to a simplified model of a tube sheet in heat exchangers.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

System of numerical example

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Figure 3

Temperature distribution due to loading of the left holes

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Temperature distribution due to loading of the right holes

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Figure 5

Temperature distribution due to the superposition of both loading cases

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Figure 6

Equivalent elastic stresses due to loading of the left holes

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Figure 7

Equivalent elastic stresses due to loading of the right holes

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Figure 8

Equivalent elastic stresses due to the superposition of both loading cases

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Figure 9

Elastic solution and shakedown domains

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Figure 10

Elastic limit curve and shakedown domain for a fixed ratio of loads

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Figure 11

Equivalent elastic stresses due surface tractions at free edges of the plate

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Figure 12

Shakedown domain and alternating plasticity criterion under thermo-mechanical loading

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