The propagation of fatigue cracks in sheet specimens

Frost, Nancy; Dugdale, D.S.

doi:10.1016/0022-5096(58)90018-8

Cited by 311 publications

(96 citation statements)

References 5 publications

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“…For n = (m/2), the quasi-2D infinite plane SIF solution is involved. Dimensional analysis shows that the crack growth rate should be proportional to the crack length: (da/dn) = C·(Δσ) m ·a, as confirmed for several crack growth observations and n = 1 does the F&D model (Frost and Dugdale 1958) appear. Since all formulations imply (partially) straight lines on log-scale, however, an apparent agreement of different or even contradictory relations can be identified for the same test data; the 'correct' one should correlate a wide range of test data rather than a single one (Paris and Erdogan 1963).…”

Section: Crack Tip Stress Intensity Criterionsupporting

confidence: 58%

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: Crack Tip Stress Intensity Criterionsupporting

confidence: 58%

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

Besten

2018

Ships and Offshore Structures

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“…Since as per [40,41,43,44,47,48] the value of  is proportional to the cube of the stress the value of after patching ( patch ) is related to its value prior to patching ( unpatched ) and the ratio of the change of stress due to patching, viz:…”

Section: Appendixmentioning

confidence: 99%

Composite repairs to bridge steels demystified

Ali

Raman

Zhao

et al. 2017

Composite Structures

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“…Equation (13) has the same form as the Frost and Dugdale relation [36], which has been successfully used to predict the growth of near micrometer-sized cracks for steels and aluminium alloys [37]. This indicates that the equivalent crack growth rate in FGA accords with the Frost and Dugdale relation.…”

Section: Model and Analysismentioning

confidence: 59%

A two-parameter model to predict fatigue life of high-strength steels in a very high cycle fatigue regime

2015

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In this paper, ultrasonic (20 kHz) fatigue tests were performed on specimens of a high-strength steel in very high cycle fatigue (VHCF) regime. Experimental results showed that for most tested specimens failed in a VHCF regime, a fatigue crack originated from the interior of specimen with a fish-eye pattern, which contained a fine granular area (FGA) centered by an inclusion as the crack origin. Then, a two-parameter model is proposed to predict the fatigue life of high-strength steels with fish-eye mode failure in a VHCF regime, which takes into account the inclusion size and the FGA size. The model was verified by the data of present experiments and those in the literature. Furthermore, an analytic formula was obtained for estimating the equivalent crack growth rate within the FGA. The results also indicated that the stress intensity factor range at the front of the FGA varies within a small range, which is irrespective of stress amplitude and fatigue life.

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The propagation of fatigue cracks in sheet specimens

Cited by 311 publications

References 5 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

Composite repairs to bridge steels demystified

A two-parameter model to predict fatigue life of high-strength steels in a very high cycle fatigue regime

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