Probabilistic simulation of fatigue crack growth by damage accumulation

Ellyin, F.; Fakinlede, C. O. A.

doi:10.1016/0013-7944(85)90133-x

Cited by 23 publications

(12 citation statements)

References 21 publications

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“…Элементы описанной техники накопления повреждений основываются на ранних работах Глинки и Элайна [22,23], которые получили свое развитие в работах [10,24] и др. В этих исследованиях, однако, не использовался метод конечных элементов, поле деформаций у вершины трещины описывалось приближенно, а оценка роста трещины производилась только при плоском напряженном состоянии.…”

Section: моделирование развития четвертьэллиптической трещиныunclassified

Surface Fatigue Crack Growth Simulation Based on the Finite-Element Aided Damage Accumulation Procedure

Guchinsky¹,

Petinov²

2015

J. Sib. Fed. Univ. Eng. technol.

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Section: моделирование развития четвертьэллиптической трещиныunclassified

Surface Fatigue Crack Growth Simulation Based on the Finite-Element Aided Damage Accumulation Procedure

Guchinsky¹,

Petinov²

2015

J. Sib. Fed. Univ. Eng. technol.

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“…Oh [117] in 1979 and Sobczyk [118] in 1982 proposed an idea of using Markov chain and Markov diffusion process to model the stochastic growth of crack. Sobczyk [122] in 1989…”

Section: Fracture and Fatiguementioning

confidence: 99%

Probabilistic Analysis of a Thin-Walled Beam with a Crack

Kunaporn¹,

Singh²,

Patil³

et al. 2010

51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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Probabilistic Analysis of a Thin-walled Beam with a CrackChalitphan Kunaporn (ABSTRACT) It is reasonable to assume that an aircraft might experience some in-flight discrete source damage caused by various incidents. It is, thus, necessary to evaluate the impact of such damage on the performance of the aircraft. This study is focused on evaluating the effect of a simple discrete damage in an aircraft wing on its static and dynamic response.The damaged wing is modeled by a thin-walled beam with a longitudinal crack the response of which can be obtained analytically. As uncertainties are present in the location and size of the crack as well as in the applied loads, their effects are incorporated into the framework consisting of structural response, crack propagation and aeroelasticity.The first objective of this study is to examine the effect of damage represented by a crack on the wing flexibility that influences its deformation and aero-elastic divergence characteristics. To study this, the thin-walled beam is modeled by Benscoter thin-walled beam theory combined with Gunnlaugsson and Pedersen compatibility conditions to accurately account for the discontinuity at the interface of the cracked and uncracked beam segments. Instead of conducting a detailed finite element analysis, the solution is obtained in an exact sense for general distributed loads representing the wind pressure effects. This analytical approach is shown to provide very accurate values for the global beam response compared with the detailed finite element shell analysis. This analytical solution is, then, used to study the beam response probabilistically. The crack location and size are assumed to be uncertain and are, thus, characterized by random variable. For a specified limit state, the probability of failure can be conveniently calculated by the first order second moment analysis using the safety index approach. The same analytical solution is also used to study the aero-elastic divergence characteristics of a wing, the inner structure of which is represented by a thin-walled beam with a crack of uncertain size and position along the beam.iii The second objective of this study is to examine the time growth of a crack under dynamic gust type of loading to which a wing is likely to be exposed during flight.Damage propagating during operation further deteriorates the safety of the aircraft and it is necessary to study its time growth so that its impact on the performance can be evaluated before it reaches its unstable state. The proposed framework for the crack growth analysis is based on classical fracture mechanics where the remaining flight time is obtained by Monte Carlo simulation in which various uncertainties are taken into account. To obtain equivalent cyclic loading required for crack growth analysis, random vibration analysis of the thin-walled beam is conducted for stochastic wind load defined by a gust load spectral density function. The probability of failure represented by the crack size approaching the critical crack size wit...

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“…This facilitates the development of models which relate well known fatigue properties to the rate of growth of fatigue cracks. A brief survey of such models is given in [2]. Two major inputs are required for this type of crack growth modelling: (i) a suitable damage function, and (ii) a failure criterion.…”

Section: Introductionmentioning
confidence: 99%

“…of it has been assumed to be a random variable with the mean of unity. This argument was used in the earlier simulation model [2]. Such an approach helps account for the random factors that make (2) deviate from the value of unity.…”

Section: Introductionmentioning
confidence: 99%

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Probabilistic crack growth by nonlinear damage accumulation
Ellyin
¹
,
Fakinlede
²

1988
Int J Fract
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A probabilistic crack growth model based on a nonlinear damage accumulation criterion is presented. The damage criterion takes cognizance of the effect of the loading sequence, and is an energy-based function. The simulation results are shown to compare favourably with experimental data of four different types of steels and an aluminum alloy. The predicted results are also compared with that of the linear damage theory and, in general, are found to be superior.
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Probabilistic simulation of fatigue crack growth by damage accumulation

Cited by 23 publications

References 21 publications

Surface Fatigue Crack Growth Simulation Based on the Finite-Element Aided Damage Accumulation Procedure

Surface Fatigue Crack Growth Simulation Based on the Finite-Element Aided Damage Accumulation Procedure

Probabilistic Analysis of a Thin-Walled Beam with a Crack

Probabilistic crack growth by nonlinear damage accumulation

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