A Crack Closure Study to Predict the Threshold Behaviour of Small Cracks

Journet, Bertrand; Lefrançois, André; Pineau, A.

doi:10.1111/j.1460-2695.1989.tb00530.x

Cited by 20 publications

(8 citation statements)

References 10 publications

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“…have to be fitted by a proper law. It has been found that the commonly used exponential law (see Journet et al and McEvily et al)

normalΔ K_{t h} = normalΔ K_{t h, italicop} + normalΔ K_{t h, italiceff} = ((), 1 - e^{prefix- k \cdot normalΔ a}) \cdot ((), normalΔ K_{t h, L C} - normalΔ K_{t h, italiceff}) + normalΔ K_{t h, italiceff}

did not yield a satisfactory approximation of the data in the initial part of the R ‐curve. A better fitting has been obtained employing a power law, which then resulted in the following expression:

\frac{normalΔ K_{t h}}{normalΔ K_{t h, L C}} = ({, \begin{array}{c} center & 0.856 \cdot normalΔ a^{0.198} & normalf normalo normalr normalΔ a < 2.2 normalmm \\ center & 1 & normalf normalo normalr normalΔ a \geq 2.2 normalmm \end{array})

for the present material.…”

Section: Proposal For the Determination Of The Initial Crack Sizementioning

confidence: 96%

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Fracture mechanics based assessment of the fatigue strength: approach for the determination of the initial crack size

Zerbst

Madia

2015

Fatigue Fract Eng Mat Struct

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In a number of previous papers, the authors have proposed a model for fracture mechanics based prediction of the S‐N characteristics of metallic components with large microstructural defects. Here, an extension to materials that do not show large defects onto the fracture surfaces is provided. In such cases, an approach based on a so‐called cyclic R‐curve analysis is proposed for the determination of the initial flaw size, which has to be used in the calculation of fatigue crack propagation. The principle is explained and demonstrated by a first application to a welded joint.

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“…have to be fitted by a proper law. It has been found that the commonly used exponential law (see Journet et al and McEvily et al)

normalΔ K_{t h} = normalΔ K_{t h, italicop} + normalΔ K_{t h, italiceff} = ((), 1 - e^{prefix- k \cdot normalΔ a}) \cdot ((), normalΔ K_{t h, L C} - normalΔ K_{t h, italiceff}) + normalΔ K_{t h, italiceff}

\frac{normalΔ K_{t h}}{normalΔ K_{t h, L C}} = ({, \begin{array}{c} center & 0.856 \cdot normalΔ a^{0.198} & normalf normalo normalr normalΔ a < 2.2 normalmm \\ center & 1 & normalf normalo normalr normalΔ a \geq 2.2 normalmm \end{array})

for the present material.…”

Section: Proposal For the Determination Of The Initial Crack Sizementioning

confidence: 96%

“…by a proper law. It has been found that the commonly used exponential law (see Journet et al 16 and McEvily et al 17 )…”

Section: The Cyclic R-curvementioning

confidence: 99%

Fracture mechanics based assessment of the fatigue strength: approach for the determination of the initial crack size

Zerbst

Madia

2015

Fatigue Fract Eng Mat Struct

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“…The data points had to be fitted by a proper law to be used in a resistance curve analysis. The existing works in the literature dealing with this issue, propose a fitting with an exponential law [21,22]. The use of these laws in case of our data points did not provide a satisfactory approximation in the mechanically short crack regime, which is the most important to the goal of the present work, as it is the region in which non-propagating cracks occur.…”

Section: Experimental Derivation Of the Cyclic R-curvementioning

confidence: 83%

Application of the cyclic R-curve method to notch fatigue analysis

Madia

Zerbst

2016

International Journal of Fatigue

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“…The exact transition point, when crack closure becomes stationary, depends on the material and can vary between some hundred micrometres to millimetres (see [57]). A very rough guide value is a depth of 0.5 mm and a length at surface of 1 mm in the case of semi-elliptical surface cracks in medium strength steel [58].…”

Section: Small Cracksmentioning

confidence: 99%