### Abstract

Language | English |
---|---|

Pages | 318-330 |

Number of pages | 13 |

Journal | European Journal of Mechanics - A/Solids |

Volume | 73 |

Early online date | 25 Sep 2018 |

DOIs | |

Publication status | Published - 28 Feb 2019 |

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### Keywords

- shakedown analysis
- effect of temperature
- yield strength
- stress compensation method
- thermomechanical loading

### Cite this

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**Shakedown analysis of elastic-plastic structures considering the effect of temperature on yield strength : theory, method and applications.** / Peng, Heng; Liu, Yinghua; Chen, Haofeng.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Shakedown analysis of elastic-plastic structures considering the effect of temperature on yield strength

T2 - European Journal of Mechanics - A/Solids

AU - Peng, Heng

AU - Liu, Yinghua

AU - Chen, Haofeng

PY - 2019/2/28

Y1 - 2019/2/28

N2 - According to the extended Melan's static theorem, theoretical and numerical aspects of the stress compensation method (SCM) are presented to perform shakedown analysis of elastic-plastic structures considering the effect of temperature on yield strength. Instead of constructing a mathematical programming formulation, this developed method consists of the two-level iterative scheme. The inner loop constructs the statically admissible self-equilibrating stress field, while the outer loop evaluates a sequence of decreasing load factors to approach to the shakedown limit multiplier. The yield strength considering temperature effect is updated based on the current temperature at each outer iteration, and the yield conditions are checked at all Gauss points. The numerical procedure is well incorporated into ABAQUS finite element code and used for calculating the shakedown limits of structures considering yield strengths as different functions of temperature under complex thermomechanical loading system. The method is validated by some plane stress and axisymmetric numerical examples with theoretical and numerical solutions, and subsequently applied to solve the practical shakedown problem of a pipe with oblique nozzle. The results demonstrate that the developed method is stable, accurate and efficient, and can effectively evaluate the shakedown limit of an elastic-plastic structure where the yield strength of material varies with temperature.

AB - According to the extended Melan's static theorem, theoretical and numerical aspects of the stress compensation method (SCM) are presented to perform shakedown analysis of elastic-plastic structures considering the effect of temperature on yield strength. Instead of constructing a mathematical programming formulation, this developed method consists of the two-level iterative scheme. The inner loop constructs the statically admissible self-equilibrating stress field, while the outer loop evaluates a sequence of decreasing load factors to approach to the shakedown limit multiplier. The yield strength considering temperature effect is updated based on the current temperature at each outer iteration, and the yield conditions are checked at all Gauss points. The numerical procedure is well incorporated into ABAQUS finite element code and used for calculating the shakedown limits of structures considering yield strengths as different functions of temperature under complex thermomechanical loading system. The method is validated by some plane stress and axisymmetric numerical examples with theoretical and numerical solutions, and subsequently applied to solve the practical shakedown problem of a pipe with oblique nozzle. The results demonstrate that the developed method is stable, accurate and efficient, and can effectively evaluate the shakedown limit of an elastic-plastic structure where the yield strength of material varies with temperature.

KW - shakedown analysis

KW - effect of temperature

KW - yield strength

KW - stress compensation method

KW - thermomechanical loading

UR - https://www.sciencedirect.com/journal/european-journal-of-mechanics-a-solids

U2 - 10.1016/j.euromechsol.2018.09.011

DO - 10.1016/j.euromechsol.2018.09.011

M3 - Article

VL - 73

SP - 318

EP - 330

JO - European Journal of Mechanics - A/Solids

JF - European Journal of Mechanics - A/Solids

SN - 0997-7538

ER -