Abstract
| Language | English |
|---|---|
| Number of pages | 29 |
| Journal | European Journal of Mechanics - A/Solids |
| Publication status | Accepted/In press - 2 Mar 2018 |
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Keywords
- ratchet boundary
- shakedown
- two-plane model
- plastic FEA
- noncyclic method
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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 journal › Article
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
UR - https://www.sciencedirect.com/journal/european-journal-of-mechanics-a-solids
M3 - Article
JO - European Journal of Mechanics - A/Solids
JF - European Journal of Mechanics - A/Solids
SN - 0997-7538
ER -