A new four-dimensional ratcheting boundary: derivation and numerical validation

Jun Shen, Haofeng Chen, Yinghua Liu

Research output: Contribution to journalArticle

Abstract

A new four-dimensional ratcheting boundary is derived analytically for the first time considering the interaction among four types of stresses: constant mechanical membrane stress, mechanical bending stress, cyclic thermal membrane stress, and thermal bending stress. A uniaxial beam model is used to derive the closed-form ratcheting boundary for these combined cyclic and constant loadings. The Tresca yield condition and elastic-perfectly plastic behavior are assumed. A novel two-plane FE model is proposed for numerical validation and the results predicted by analytical solution agree very well with that obtained by two-plane FE model. The solution of the classical Bree problem is the one of special cases when this new four-dimensional ratcheting boundary is reduced into two-dimensional style. The relationship between the three-dimensional ratcheting boundary adopted by the newly implemented ASME VIII -2 Pressure Vessel Code and the proposed four-dimensional ratcheting boundary is also discussed.
LanguageEnglish
Number of pages29
JournalEuropean Journal of Mechanics - A/Solids
Publication statusAccepted/In press - 2 Mar 2018

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derivation
Membrane
Pressure vessel codes
membranes
Membranes
Mechanical Stress
pressure vessels
Vessel
Plastics
Analytical Solution
Closed-form
plastics
Model
Three-dimensional
Interaction
interactions
Hot Temperature

Keywords

  • ratchet boundary
  • shakedown
  • two-plane model
  • plastic FEA
  • noncyclic method

Cite this

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abstract = "A new four-dimensional ratcheting boundary is derived analytically for the first time considering the interaction among four types of stresses: constant mechanical membrane stress, mechanical bending stress, cyclic thermal membrane stress, and thermal bending stress. A uniaxial beam model is used to derive the closed-form ratcheting boundary for these combined cyclic and constant loadings. The Tresca yield condition and elastic-perfectly plastic behavior are assumed. A novel two-plane FE model is proposed for numerical validation and the results predicted by analytical solution agree very well with that obtained by two-plane FE model. The solution of the classical Bree problem is the one of special cases when this new four-dimensional ratcheting boundary is reduced into two-dimensional style. The relationship between the three-dimensional ratcheting boundary adopted by the newly implemented ASME VIII -2 Pressure Vessel Code and the proposed four-dimensional ratcheting boundary is also discussed.",
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A new four-dimensional ratcheting boundary : derivation and numerical validation. / Shen, Jun; Chen, Haofeng; Liu, Yinghua.

In: European Journal of Mechanics - A/Solids, 02.03.2018.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A new four-dimensional ratcheting boundary

T2 - European Journal of Mechanics - A/Solids

AU - Shen, Jun

AU - Chen, Haofeng

AU - Liu, Yinghua

PY - 2018/3/2

Y1 - 2018/3/2

N2 - A new four-dimensional ratcheting boundary is derived analytically for the first time considering the interaction among four types of stresses: constant mechanical membrane stress, mechanical bending stress, cyclic thermal membrane stress, and thermal bending stress. A uniaxial beam model is used to derive the closed-form ratcheting boundary for these combined cyclic and constant loadings. The Tresca yield condition and elastic-perfectly plastic behavior are assumed. A novel two-plane FE model is proposed for numerical validation and the results predicted by analytical solution agree very well with that obtained by two-plane FE model. The solution of the classical Bree problem is the one of special cases when this new four-dimensional ratcheting boundary is reduced into two-dimensional style. The relationship between the three-dimensional ratcheting boundary adopted by the newly implemented ASME VIII -2 Pressure Vessel Code and the proposed four-dimensional ratcheting boundary is also discussed.

AB - A new four-dimensional ratcheting boundary is derived analytically for the first time considering the interaction among four types of stresses: constant mechanical membrane stress, mechanical bending stress, cyclic thermal membrane stress, and thermal bending stress. A uniaxial beam model is used to derive the closed-form ratcheting boundary for these combined cyclic and constant loadings. The Tresca yield condition and elastic-perfectly plastic behavior are assumed. A novel two-plane FE model is proposed for numerical validation and the results predicted by analytical solution agree very well with that obtained by two-plane FE model. The solution of the classical Bree problem is the one of special cases when this new four-dimensional ratcheting boundary is reduced into two-dimensional style. The relationship between the three-dimensional ratcheting boundary adopted by the newly implemented ASME VIII -2 Pressure Vessel Code and the proposed four-dimensional ratcheting boundary is also discussed.

KW - ratchet boundary

KW - shakedown

KW - two-plane model

KW - plastic FEA

KW - noncyclic method

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M3 - Article

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