Simplified three-dimensional model for fatigue crack initiation

Huang, Xiang; Brückner‐Foit, A.; Besel, Michael; Motoyashiki, Yasuko

doi:10.1016/j.engfracmech.2006.05.027

Cited by 15 publications

(13 citation statements)

References 6 publications

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“…This effect may be quite high due to the nonlinear dependence of the initiation relations on the resolved shear stress as it can be seen from and . A simplified three‐dimensional model described in 14 in more detail gave results which were very close to the plane stress model.…”

Section: Methodssupporting

confidence: 52%

“…This effect may be quite high due to the nonlinear dependence of the initiation relations on the resolved shear stress as it can be seen from Eqs (4) and (5). A simplified three-dimensional model described in 14 in more detail gave results which were very close to the plane stress model. The results for the critical shear stress are model dependent in the sense that a different random cell structure will lead to different values for the crack density.…”

Section: O N T H E D E T E R M I N a T I O N O F M A T E R I A L P A mentioning

confidence: 67%

“…A more detailed description can be found in Refs [12,13]. A simulated crack density is generated using a mesoscopic random cell structure, see and, for more details see Refs 3,11,14 . Finally the simulated crack density is fitted to the experimental crack density with the results discussed in of the paper.…”

Section: Introductionmentioning

confidence: 99%

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On the determination of material parameters in crack initiation laws

Brückner‐Foit

Huang

2008

Fatigue Fract Eng Mat Struct

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A B S T R A C T Crack initiation along slip bands can be described by the Tanaka-Mura relation and its extensions. These relations are based on dislocation theory and determine the number of load cycles to reach a critical dislocation density for a given value of the resolved shear stress along the potential crack path. An important material parameter in these relations is the critical shear stress which is a threshold value for crack initiation, i.e. the number of cycles to crack initiation becomes infinitely high if the resolved shear stress along the potential crack path stays below this threshold value. This critical shear stress is determined using a database for microcrack initiation, microcrack growth, and coalescence obtained with a martensitic steel. The number of cracks per unit area, the so-called crack density, was derived from this database as a function of the number of load cycles. These experimentally observed values of the crack density are compared to values obtained by simulating the crack initiation process using a random cell structure as a mesoscopic unit cell. A best fit is obtained for values of the critical shear stress between 110 and 160 MPa with the uncertainty both related to simplifications in the model and to limitations of the experimental analysis.

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Section: Methodssupporting

confidence: 52%

Section: O N T H E D E T E R M I N a T I O N O F M A T E R I A L P A mentioning

confidence: 67%

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On the determination of material parameters in crack initiation laws

Brückner‐Foit

Huang

2008

Fatigue Fract Eng Mat Struct

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“…Several authors applied the model of TM to simulate the fatigue crack (i.e. PSC) initiation process.…”

Section: Fatigue Crack Initiation and Growth Analysismentioning

confidence: 99%

“…the interaction with obstacles such as fine precipitate fields. 20,21 Several authors 8,[22][23][24][25][26][27] applied the model of TM to simulate the fatigue crack (i.e. PSC) initiation process.…”

Section: F a T I G U E C R A C K I N I T I A T I O N A N D G R O W T mentioning

confidence: 99%

Modelling of overload effects on fatigue crack initiation in case of carbon steel

Mlikota

Schmauder

Božić

et al. 2017

Fatigue Fract Eng Mat Struct

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This paper deals with the modelling of short crack initiation within a microstructure of medium carbon steel under fatigue loading, as well as with the influence of overload on the crack initiation period. Studies on the long crack growth show that the overload introduces first an increase in the crack growth rate that is then followed with a decrease, a so‐called retardation. A micro‐model containing the microstructure of the material is analysed using the finite element method in combination with a model for crack development – the assessment of number of cycles needed for crack initiation was based on the Tanaka–Mura equation. The analysis brings in a correlation between the crack growth rate and the crack length together with the effects of the overload on the crack growth rate. The overload is found to accelerate the short crack growth; however, the following retardation could not be captured due to the inability of the model to produce residual stresses, which are considered to be the main cause of the retardation effect.

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Modeling Crack Initiation in Low Cycle Fatigue: A Review

Zahran

Zinovev

Terentyev

et al. 2022

Proceedings of the 10th International Conference on Fracture Fatigue and Wear

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The typical fatigue life of a component is mainly divided into two phases: crack initiation, and crack propagation. This study is concerned with the crack initiation life as some designers regard the crack initiation as the end of the design life of the component. Crack initiation is caused by the formation of persistent slip bands that interact with the matrix leading to embryonic crack formation. There are several studies defining the point of crack initiation, and this article addresses some of these definitions. The main aim of this study is to review the different modelling methodologies for crack initiation under low cycle fatigue. These models are divided into three main types: microscopic models, damage parameters, and probabilistic models. There is no preferred methodology among the ones discussed. The choice of which model to use depends on the type of loading, the material in use, and the required level of detail. This study is intended as a reference for using one of these models or introducing modifications to enhance them.

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Simplified three-dimensional model for fatigue crack initiation

Cited by 15 publications

References 6 publications

On the determination of material parameters in crack initiation laws

On the determination of material parameters in crack initiation laws

Modelling of overload effects on fatigue crack initiation in case of carbon steel

Modeling Crack Initiation in Low Cycle Fatigue: A Review

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