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The Bree problem with primary load cycling in-phase with the secondary load

Authors
Journal
International Journal of Pressure Vessels and Piping
0308-0161
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.ijpvp.2012.07.014
Keywords
  • Shakedown
  • Ratcheting
  • Bree

Abstract

Abstract Shakedown and ratcheting behaviour is derived for uniaxial primary membrane and thermal bending stresses both cycling strictly in-phase. The complete analytic solution for perfect plasticity is presented, including the shakedown/ratcheting diagram and the ratchet strains or cyclic plastic strains where relevant. This cyclic loading is shown to be considerably more benign than that of the original Bree problem in which the primary membrane stress does not cycle.

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