A stress invariant based criterion to estimate fatigue damage under multiaxial loading

Cristofori, Alessandro; Susmel, Luca; Tovo, R.

doi:10.1016/j.ijfatigue.2007.11.006

Cited by 79 publications

(66 citation statements)

References 32 publications

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“…Response invariants (e.g. Crossland 1956;Cristofori et al 2008) are an alternative since the hydrostatic and deviatoric components J 1 and J 2 can be obtained straightforward, efficiently allowing for a loading & response path analysis in Euclidean space. However, invariants involve the endurance part only because of the original application in the infinite life region; i.e.…”

Section: Fatigue Damage Criteria Classificationmentioning

confidence: 99%

Fatigue damage criteria classification, modelling developments and trends for welded joints in marine structures

Besten

2018

Ships and Offshore Structures

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Fatigue is typically a governing limit state for marine structures. Welded joints are the weakest links in that respect. Physics involve several resistance dimensions, a range of scales and distinct contributions in different stages of the accumulative damage process. Fatigue damage criteria developed over time have been classified with respect to type of information, geometry, parameter and process zone including plane and life region annotations. The criteria are evaluated regarding model (in)capabilities, showing up to what extent (governing) physics are taken into account. Modelling developments and trends towards complete strength, multi-scale and total life criteria have been identified. Incorporating all four (interacting) fatigue resistance dimensions: material, geometry, loading & response and environment translates into a complete strength fatigue damage criterion. Considering macro-, meso-and micro-scale information provides a multi-scale fatigue damage criterion. Correlation of crack initiation and growth requires matching intact and cracked geometry parameters, revealing a total life fatigue damage criterion. HIGHLIGHTS• Classification of fatigue damage criteria with respect to type of information, geometry, parameter and process zone including plane and life region annotations.• Identification of modelling developments and trends towards complete strength, multi-scale and total life fatigue damage criteria for welded joints in marine structures. NomenclatureA notch strain energy density process zone area C crack growth or fatigue resistance curve intercept (endurance coefficient) D fatigue damage E normal strain at macro-scale E Young's modulus J crack tip energy density J 1 hydrostatic stress or strain component J 2 deviatoric stress or strain component K σ crack tip stress intensity factor K ɛ crack tip strain intensity factor K' work hardening coefficient K N notch stress intensity factor K N I mode-I notch stress intensity factor K N III mode-III notch stress intensity factor K I mode-I stress intensity factor K I T total mode-I stress intensity factor K I r residual mode-I stress intensity factor K III mode-III stress intensity factor K * FE dimensionless FE based notch stress intensity factor N (total) number of cycles until failure N i number of cycles corresponding to initiation N g number of cycles corresponding to growth R notch strain energy density process zone radius S stress based fatigue damage criterion S B Battelle structural normal stress range S e effective notch stress range S eq (equivalent) Von Mises stress range S n nominal stress range S s hot spot structural stress range S T total stress range T temperature T B Battelle structural shear stress range T σS strength scatter band index W energy based fatigue damage criterion W N notch strain energy W N A notch strain energy density Y n notch factor Y f far field factor a crack size (i.e. length) a 0 critical defect size a d long-term corrosion pit size (i.e. depth) a i (real) defect or initial crack size a n (root) not...

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Section: Fatigue Damage Criteria Classificationmentioning

confidence: 99%

Fatigue damage criteria classification, modelling developments and trends for welded joints in marine structures

Besten

2018

Ships and Offshore Structures

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“…Projection by projection (PbP) method is a type of stress invariant based approaches usually employed in the medium/high-cycle fatigue regimes [11]. The method has shown to provide accurate fatigue damage estimates for variable amplitude multiaxial loading spectrums [12].…”

Section: Projection By Projection Damage Criteriamentioning

confidence: 99%

“…Reference stress ratio, , quantifies the proportionality degree of multiaxial stress in terms of the mean value of the maximum hydrostatic pressure , and the inverse slope of the reference SN curve by a linear interpolation relations [11] as:…”

Section: Projection By Projection Damage Criteriamentioning

confidence: 99%

Multiaxial Fatigue Spectrum Editing by Using Combined Wavelet Analysis and Stress Invariant Approach

2018

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Abstract. The practicalities of structural fatigue testing limit the fidelity of the cyclic load history that can be applied to a test structure. Testing is, therefore, a compromise between fatigue damage fidelity and test economy. A new methodology is proposed for multiaxial loading spectrum editing to extract cycles that contribute negligible damage during fatigue crack initiation. The method is based on projection by projection (PbP) technique and wavelet transform analysis (WTA) procedure. In this approach, the cycles with negligible contribution to damage in every decoupled projected loading path (i.e. obtained from PbP approach) are extracted using the WTA procedure. Each extracted segment is then replaced with an equivalent cycle that produces the same amount of damage. The effectiveness of the edited spectrums is evaluated by the degree of fatigue damage retention as the original damage and preservation of statistical parameter values. As a case study, the proposed approach has been applied to the numerically produced random bending-torsion fatigue spectrum in plane-stress condition. The result shows an average of 75% reduction of the original spectrums with retention of 90% of the original spectrums' damage values.

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“…Over the last few decades intensive efforts have been made to develop multiaxial fatigue approaches which are able to deal with difficulties such as (random) variable amplitude (VA) loading and non-proportionality. This has resulted, M amongst others, in multiaxial cycle counting methods [4][5][6], critical plane based criteria [3,[7][8][9] , invariant based criteria [10] and energy based criteria [11]. Furthermore, spectral methods have been developed to assess multiaxial fatigue in the frequency domain, instead of the time domain [12].…”

Section: Introductionmentioning

confidence: 99%

Comparative study of multiaxial fatigue methods applied to welded joints in marine structures

Lieshout¹,

Besten²,

Kaminski³

2016

Frattura Ed Integrità Strutturale

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ABSTRACT. Marine structures are particularly prone to action of waves, winds and currents with stochastically varying composition, intensities and directions. Therefore, resultant stresses may cause multiaxial fatigue in specific welded structural details. For the assessment of multiaxial fatigue in welded joints, a wide variety of methods have been suggested. However, there is still no consensus on a method which can correctly account for non-proportional and variable amplitude loading. This paper beholds a comparative study of multiaxial fatigue methods applicable for design of marine structures. For the purpose of comparison several load cases were defined including non-proportional and variable amplitude loadings with different normal and shear stress amplitude ratios. Three types of methods are compared: those described by three different codes (i.e. Eurocode 3, IIW and DNV-GL), those described by three different multiaxial fatigue approaches from literature (i.e. Modified Carpinteri-Spagnoli Criterion, Modified Wohler Curve Method and Effective Equivalent Stress Hypothesis) and an approach based on Path-Dependent-Maximum-Range multiaxial cycle counting. From this study it has been concluded that non-proportional variable amplitude loading has a significant negative impact on the fatigue lifetime estimates, and that further research and experimental testing are essential to come to a consensus.

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A stress invariant based criterion to estimate fatigue damage under multiaxial loading

Cited by 79 publications

References 32 publications

Fatigue damage criteria classification, modelling developments and trends for welded joints in marine structures

Fatigue damage criteria classification, modelling developments and trends for welded joints in marine structures

Multiaxial Fatigue Spectrum Editing by Using Combined Wavelet Analysis and Stress Invariant Approach

Comparative study of multiaxial fatigue methods applied to welded joints in marine structures

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