Research Papers

Durability of an Elastic Bar Under Tension With Linear or Nonlinear Relationship Between Corrosion Rate and Stress

[+] Author and Article Information
Isaac Elishakoff

 Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431-0991elishako@fau.edu

Guillaume Ghyselinck

 Département de Mécanique et Matériaux, Ecole des Mines d’Alès, Alès, 30100, Franceguillaume.ghyselinck@mines-ales.fr

Yohann Miglis

 Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431-0991myohan@fau.edu

J. Appl. Mech 79(2), 021013 (Feb 24, 2012) (8 pages) doi:10.1115/1.4005564 History: Received March 18, 2011; Revised August 23, 2011; Posted January 31, 2012; Published February 13, 2012; Online February 24, 2012

In this study we investigate the durability of a bar subjected to tension in the presence of corrosion. Various possible relationships are considered between the corrosion velocity and stress. We concentrate on linear, quadratic, purely cubic, and general cubic relationships. Closed-form expressions are obtained for the structure’s durability, which is identified with time to failure, with failure defined as the stress reaching the yield level. Among other things, we evaluate the validity of the assumption that the average diameter of the bar remains constant, as suggested by Dolinskii (1967, “Analysis of Loaded Tubes Subjected to Corrosion,” Khimicheskoe I Neftianoe Mashinostroenie (Chemical and Oil Machinery), 2 , pp. 9–10, (in Russian)). We show that in certain circumstances this assumption may lead to an unacceptably large error.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 1

Durability in years versus v0 and initial stress σ0

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Figure 2

Time to failure in years versus σ0 and stress v0 with the Dolinskii’s assumption

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Figure 3

Time to failure versus v0 and initial stress σ0 with a quadratic relationship

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Figure 4

Time to failure versus v0 for different σ0 with a purely cubic relationship

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Figure 5

Time to failure T versus initial corrosion rate for the general cubic case



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