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

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

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 is implemented into ABAQUS using the same procedure as for 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 field at 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 theoretical solution after a number of iterations.
LanguageEnglish
Article number011202
Number of pages8
JournalJournal of Pressure Vessel Technology
Volume132
Issue number1
DOIs
Publication statusPublished - 1 Feb 2010

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Yield stress
Kinematics
ABAQUS
Residual stresses
Temperature

Keywords

  • limit load
  • shakedown
  • linear matching method
  • pressure vessels

Cite this

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title = "Lower and upper bound shakedown analysis of structures with temperature-dependent yield stress",
abstract = "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 is implemented into ABAQUS using the same procedure as for 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 field at 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 theoretical solution after a number of iterations.",
keywords = "limit load, shakedown, linear matching method, pressure vessels",
author = "Haofeng Chen",
note = "Also presented at: ASME Pressure Vessels and Piping Conference, Prague, Czech Republic, 26-30 July 2009.",
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Lower and upper bound shakedown analysis of structures with temperature-dependent yield stress. / Chen, Haofeng.

In: Journal of Pressure Vessel Technology, Vol. 132, No. 1, 011202, 01.02.2010.

Research output: Contribution to journalArticle

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AU - Chen, Haofeng

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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 is implemented into ABAQUS using the same procedure as for 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 field at 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 theoretical solution after a number of iterations.

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