The Bree problem with different yield stresses on-load and off-load and application to creep ratcheting

Bradford, R.; Ure, James Michael; Chen, Haofeng

doi:10.1016/j.ijpvp.2013.11.004

Cited by 21 publications

(14 citation statements)

References 12 publications

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“…31,32 Most engineering components are in fact subjected to creep and ratcheting interaction, suffering more damage than under creep or ratcheting alone. 33,34 This makes the ratcheting phenomenon more complicated. Their synergetic effect challenges structural integrity and operating safety of pressure vessels.…”

Section: Introductionmentioning

confidence: 99%

Ratcheting‐fatigue behaviour of bainite 2.25Cr1MoV steel with tensile and compressed hold loading at 455°C

Zhao

Chen

et al. 2019

Fatigue Fract Eng Mat Struct

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The ratcheting behaviour of a bainite 2.25Cr1MoV steel was studied with various hold periods at 455°C. Particular attention was paid to the effect of stress hold on whole‐life ratcheting deformation, fatigue life, and failure mechanism. Results indicate that longer peak hold periods stimulate a faster accumulation of ratcheting strain by contribution of creep strain, while double hold at peak and valley stress has an even stronger influence. Creep strains produced in peak and valley hold periods are noticeable and result in higher cyclic strain amplitudes. Dimples and acquired defects are found in failed specimen by microstructure observation, and their number and size increase under creep‐fatigue loading. Enlarged cyclic strain amplitude and material deterioration caused by creep lead to fatigue life reduction under creep‐fatigue loading. A life prediction model suitable for asymmetric cycling is proposed based on the linear damage summation rule.

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Section: Introductionmentioning

confidence: 99%

Ratcheting‐fatigue behaviour of bainite 2.25Cr1MoV steel with tensile and compressed hold loading at 455°C

Zhao

Chen

et al. 2019

Fatigue Fract Eng Mat Struct

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“…The Bree problem is a typical benchmark example for uniaxial shakedown and ratchet analysis of structure under thermomechanical loading. Some authors (Bree, 1967;Bradford et al, 2014) have studied the shakedown boundary considering the effect of mean temperature on yield strength analytically. In these analyses, the elastoplastic material with different yield strengths off-load and on-load is considered, and the temperature gradient across can wall is small enough thus the yield stress is uniform over the whole structure.…”

Section: Verification Of the Methods For Plane Stress Element By The Bmentioning

confidence: 99%

Shakedown analysis of elastic-plastic structures considering the effect of temperature on yield strength: Theory, method and applications

Peng

Liu

Chen

2019

European Journal of Mechanics - A/Solids

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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.

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“…Two dimensional problem and the Poisson's effect were also considered by the author and it was concluded that the ASME design code is conservative. Bradford et al carried the studies over Bree diagram with different values of yield stress during on-load and off-load [5]. The temperature dependence of yield stress was taken into account and off-load (no thermal load) yield stress was assumed to be greater than the on-load yield stress.…”

Section: Introductionmentioning

confidence: 99%

Shakedown analysis of thick cylinders with multiple radial openings

Singh

Khan

Sharma

et al. 2016

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. Shakedown and ratcheting behaviour of thick cylinder with multiple radial crossholes is investigated in this paper by inelastic finite element analysis. Effect of opening radius ( ⁄ ), thickness of the vessel i.e. thickness ratios ( ⁄ ) and availability of ligament between two openings ( ⁄ ) is studied. In order to normalise the applied pressure, limit load for thick cylindrical vessel without any opening was considered and it was found to be highly conservative. Later, interaction diagram normalised with respect to the limit load for thick cylinder taking into account the effects of opening was plotted. In order to distinguish between plastic shakedown and ratcheting, thickness advantage is taken into consideration. A more practical assessment technique is also discussed where the maximum range of thermal stress is computed through finite element analysis and the results were found to be in accordance with the Bree diagram. However the elastic-plastic shakedown boundary was found to be affected significantly with the incorporation of discontinuities and with changes in the parameters.

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The Bree problem with different yield stresses on-load and off-load and application to creep ratcheting

Cited by 21 publications

References 12 publications

Ratcheting‐fatigue behaviour of bainite 2.25Cr1MoV steel with tensile and compressed hold loading at 455°C

Ratcheting‐fatigue behaviour of bainite 2.25Cr1MoV steel with tensile and compressed hold loading at 455°C

Shakedown analysis of elastic-plastic structures considering the effect of temperature on yield strength: Theory, method and applications

Shakedown analysis of thick cylinders with multiple radial openings

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