### Abstract

Original language | English |
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Publication status | Published - 26 Jul 2009 |

Event | ASME Pressure Vessels and Piping Conference - Prague, Czech Republic Duration: 26 Jul 2009 → 30 Jul 2009 |

### Conference

Conference | ASME Pressure Vessels and Piping Conference |
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City | Prague, Czech Republic |

Period | 26/07/09 → 30/07/09 |

### Fingerprint

### Keywords

- lower and upper bound
- limit load
- shakedown
- linear matching method

### Cite this

*Lower and upper bound shakedown analysis of structures with temperature-dependent yield stress*. Paper presented at ASME Pressure Vessels and Piping Conference, Prague, Czech Republic, .

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**Lower and upper bound shakedown analysis of structures with temperature-dependent yield stress.** / Chen, Haofeng.

Research output: Contribution to conference › Paper

TY - CONF

T1 - Lower and upper bound shakedown analysis of structures with temperature-dependent yield stress

AU - Chen, Haofeng

N1 - Also published in: Journal of Pressure Vessel Technology (2010), 130 (1), pp011202-011210. (This is a variant record)

PY - 2009/7/26

Y1 - 2009/7/26

N2 - Based upon the kinematic theorem of Koiter, the Linear Matching Method (LMM) procedure has been proved to produce very accurate upper bound shakedown limits. This paper presents a recently developed LMM lower bound procedure for shakedown analysis of structures with temperature-dependent yield stress, which was implemented into ABAQUS in the sameprocedure of upper bounds. According to the Melan's theorem, a direct algorithm has been carried out to determine the lower bound of shakedown limit using the best residual stress field calculated during the LMM upper bound procedure with displacement-based finite elements. By checking the yield condition at every integration point, the lower bound is calculated by the obtained static fieldat each iteration, with the upper bound given by the obtained kinematic field. A number of numerical examples confirm the applicability of this procedure and ensure that the upper and lower bounds are expected to converge to the accurate solution after a number of iterations.

AB - Based upon the kinematic theorem of Koiter, the Linear Matching Method (LMM) procedure has been proved to produce very accurate upper bound shakedown limits. This paper presents a recently developed LMM lower bound procedure for shakedown analysis of structures with temperature-dependent yield stress, which was implemented into ABAQUS in the sameprocedure of upper bounds. According to the Melan's theorem, a direct algorithm has been carried out to determine the lower bound of shakedown limit using the best residual stress field calculated during the LMM upper bound procedure with displacement-based finite elements. By checking the yield condition at every integration point, the lower bound is calculated by the obtained static fieldat each iteration, with the upper bound given by the obtained kinematic field. A number of numerical examples confirm the applicability of this procedure and ensure that the upper and lower bounds are expected to converge to the accurate solution after a number of iterations.

KW - lower and upper bound

KW - limit load

KW - shakedown

KW - linear matching method

UR - http://www.asmeconferences.org/pvp09/

UR - http://strathprints.strath.ac.uk/15967/

M3 - Paper

ER -