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

Research output: Contribution to conferencePaper

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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 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.
Original languageEnglish
Publication statusPublished - 26 Jul 2009
EventASME Pressure Vessels and Piping Conference - Prague, Czech Republic
Duration: 26 Jul 200930 Jul 2009

Conference

ConferenceASME Pressure Vessels and Piping Conference
CityPrague, Czech Republic
Period26/07/0930/07/09

Fingerprint

Yield Stress
Yield stress
Upper and Lower Bounds
Kinematics
Upper bound
Dependent
ABAQUS
Lower bound
Residual stresses
Iteration
Temperature
Residual Stress
Stress Field
Theorem
Finite Element
Converge
Numerical Examples

Keywords

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

Cite this

Chen, H. (2009). 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, .
Chen, Haofeng. / 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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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 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.",
keywords = "lower and upper bound, limit load, shakedown, linear matching method",
author = "Haofeng Chen",
note = "Also published in: Journal of Pressure Vessel Technology (2010), 130 (1), pp011202-011210. (This is a variant record); ASME Pressure Vessels and Piping Conference ; Conference date: 26-07-2009 Through 30-07-2009",
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Chen, H 2009, '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, 26/07/09 - 30/07/09.

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

2009. Paper presented at ASME Pressure Vessels and Piping Conference, Prague, Czech Republic, .

Research output: Contribution to conferencePaper

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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

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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

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Chen H. Lower and upper bound shakedown analysis of structures with temperature-dependent yield stress. 2009. Paper presented at ASME Pressure Vessels and Piping Conference, Prague, Czech Republic, .