The Bree problem with different yield stresses on-load and off-load and application to creep ratcheting

R.A.W. Bradford, James Ure, Haofeng Chen

Research output: Contribution to journalArticle

13 Citations (Scopus)
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Abstract

The ratchet boundaries and ratchet strains are derived for the Bree problem and an elastic perfectly plastic material with different yield stresses on-load and off-load. The Bree problem consists of a constant uniaxial primary membrane stress and a cycling thermal bending stress. The ratchet problem with differing yield stresses is also solved for a modified loading in which both the primary membrane and thermal bending stresses cycle in-phase. The analytic solutions for the ratchet boundaries are compared with the results of deploying the linear
matching method (LMM) and excellent agreement is found. Whilst these results are of potential utility for purely elastic-plastic behaviour, since yield stresses will often differ at the two ends of the cycle, the solution is also proposed as a means of assessing creep ratcheting via a creep ductility exhaustion approach.
Original languageEnglish
Number of pages19
JournalInternational Journal of Pressure Vessels and Piping
Volume113
Early online date27 Nov 2013
DOIs
Publication statusPublished - Jan 2014

Keywords

  • ratcheting
  • creep ratcheting
  • Bree
  • linear matching method
  • LMM

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