Probabilistic predicting the fatigue crack growth under variable amplitude loading

Kocańda, D.; Jasztal, Michał

doi:10.1016/j.ijfatigue.2011.03.011

Cited by 24 publications

(9 citation statements)

References 12 publications

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“…Use of worst case input parameters and very pessimistic estimations can be avoided. In probabilistic fatigue calculation many authors take into consideration crack growth in depth direction only for simplification purpose [9] or assume basic Paris crack growth in depth and surface direction where crack growth rates are equal : Ca=Cc [10]. Leander and Al-Emrani [11] published reliability fatigue assessment of steel bridge.…”

Section: Introductionmentioning

confidence: 99%

Effect of shape factor on structural reliability analysis of a surface cracked pipeline-parametric study

Guillal

Abdelbaki

Bensghier

et al. 2019

Frattura Ed Integrità Strutturale

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The variation of crack shape factor (a/c) during propagation has an important role on calculation of the stress intensity factor (SIF), where imprecise estimation of this latter can lead us to an inaccurate prediction of failure probabilities. For the case of external cracked surface pipeline carried oil and gas products, such estimation can results undesired fault decisions like excessive repairs action or inspection planning. In this paper, the structural integrity analysis of pipeline with semi elliptical crack on the external surface is evaluated. Reliability calculations expressed in term of reliability index β are carried out based on Monte Carlo simulation and First Order reliability Method (FORM). The crack shape factors are varied to cover a variety of geometries from shallow to deep cracks while fatigue crack growth is assumed in depth direction. For SIF estimation, surface and deep point are considered. Results of the analysis indicate that for a constant crack depth a/t, the reliability index is strongly affected by a/c ratio and the trend is not similar in deep and surface point for different crack shapes.

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Section: Introductionmentioning

confidence: 99%

Effect of shape factor on structural reliability analysis of a surface cracked pipeline-parametric study

Guillal

Abdelbaki

Bensghier

et al. 2019

Frattura Ed Integrità Strutturale

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“…The fatigue crack growth process is an integrates of random factors such as inhomogeneity of real material, manufacturing processes, load spectrum, the geometry of component, randomness or cracking process and condition of technological such as quality of manufacturing and environmental conditions [9,10]. These random factors explained the influencing of the uncertainty factors to the fatigue crack growth process, and it contributes to the scattering of the crack size.…”

Section: Introductionmentioning

confidence: 99%

“…Keywords: Fatigue lifetime, Markov Chain model, Paris law equation, probability distribution models: randomization of the deterministic model with fatigue crack growth model by providing the distribution of random time and randomization of the Paris-Erdogan equation [9,18].…”

Section: Introductionmentioning

confidence: 99%

The analysis of initial probability distribution in Markov Chain model for lifetime estimation

Januri

Nopiah²,

Ihsan³

et al. 2018

IJIE

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“…The deep and depth analysis regarding fatigue crack growth is required to guarantee the result is reliable. Fatigue crack growth process is an integrated of random factors such as inhomogeneity of real material, manufacturing processes, number of loading, geometry of component, condition of technological and environmental condition [5] [2]. These random factors explained the influencing of the uncertainty factors to the fatigue crack growth process and it contributes to the scattering of the crack size.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, probabilistic method has brought great concerned to the research area to replace deterministic method in determining fatigue life prediction [9] [11]. Probabilistic also known as stochastic with two types of the crack growth model: randomization of the deterministic model with fatigue crack growth model by providing the distribution of random time and secondly, randomization of the Paris-Erdogan equation [5] , [14] . In addition, probabilistic method is interested to study because of the dependant of the microstructure [12].…”

Section: Introductionmentioning

confidence: 99%

Initial Probability Distribution in Markov Chain Model for Fatigue Crack Growth Problem

SarahJanuri¹,

Nopiah²,

Ihsan³

et al. 2018

IJET

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Stochastic processes in fatigue crack growth problem usually due to the uncertainties factors such as material properties, environmental conditions and geometry of the component. These random factors give an appropriate framework for modelling and predicting a lifetime of the structure. In this paper, an approach of calculating the initial probability distribution is introduced based on the statistical distribution of initial crack length. The fatigue crack growth is modelled and the probability distribution of the damage state is predicted by a Markov Chain model associated with a classical deterministic crack Paris law. It has been used in calculating the transition probabilities matrix to represent the physical meaning of fatigue crack growth problem. The initial distribution has been determined as lognormal distribution which 66% that the initial crack length will happen in the first state. The data from the experimental work under constant amplitude loading has been analyzed using the Markov Chain model. The results show that transition probability matrix affect the result of the probability distribution and the main advantage of the Markov Chain is once all the parameters are determined, the probability distribution can be generated at any time, x.

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Probabilistic predicting the fatigue crack growth under variable amplitude loading

Cited by 24 publications

References 12 publications

Effect of shape factor on structural reliability analysis of a surface cracked pipeline-parametric study

Effect of shape factor on structural reliability analysis of a surface cracked pipeline-parametric study

The analysis of initial probability distribution in Markov Chain model for lifetime estimation

Initial Probability Distribution in Markov Chain Model for Fatigue Crack Growth Problem

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