Local approach to fatigue cracks bifurcation

Doquet, Véronique; Bertolino, G.

doi:10.1016/j.ijfatigue.2007.06.001

Cited by 28 publications

(29 citation statements)

References 11 publications

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“…Thirdly, the magnitude of cyclic plastic deformation is an influencing factor, as increasing cyclic plastic deformation creates a tendency towards shear-dominated crack growth. Results published by Tanaka [6], Brown and Miller [7], Otsuka and Tohgo [8], Socie [9] and Doquet and Bertlino [10] support this argument. The fourth factor to be specified is the crack closure, which is directly dependent on the cyclic plastic deformation.…”

Section: Introductionmentioning

confidence: 87%

Growth of long fatigue cracks under non-proportional loadings – experiment and simulation

Hoș

Vormwald

2016

Frattura Ed Integrità Strutturale

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ABSTRACT. An experimental campaign was carried out on thin-walled tubes under tension and torsion. The results from experiments are measured and compared. It is observed that cracks follow a shear-dominated growth pattern with increasing crack length, instead of a tension-dominated one. The experiments are performed with high amplitudes applied to the specimens, resulting in large cyclic plastic deformations and crack growth rates up to 10 -3 mm/cycle. Stress intensity factors were calculated for the proportional loading case.

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Section: Introductionmentioning

confidence: 87%

Growth of long fatigue cracks under non-proportional loadings – experiment and simulation

Hoș

Vormwald

2016

Frattura Ed Integrità Strutturale

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“…Moreover, it was shown by Sander and Richards [21,22] and Doquet et al [19], respectively, that suitable FE computations allow successful prediction of the crack growth rate [21,22] and direction [19] under non-proportional mixed mode conditions.…”

Section: Modellingmentioning

confidence: 99%

“…The FE method allows determining local loading conditions within the crack tip region that can then be used in a local crack growth criterion. For instance, Doquet et al [19] used elastic-plastic FE computations to determine stresses and strains around the crack tip for sequential mode I / mode II cycles. The average stress and strain fields over a critical distance from the crack tip were then computed and used to determine the plane for which the fatigue damage rate per cycle is the highest.…”

Section: Modellingmentioning

confidence: 99%

“…This is commonly known as plasticity-induced crack closure [3]. These history effects are also present under variable amplitude mixed mode loading conditions [12][13][14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…Finite element methods are useful for analyzing crack tip plasticity under various loading conditions [4,[9][10][11][19][20][21][22]. In particular, FE analyses allow accounting for rather complex material constitutive behaviour [9,10].…”

Section: Introductionmentioning

confidence: 99%

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History effect in fatigue crack growth under mixed-mode loading conditions

Decreuse¹,

Pommier²,

Gentot³

et al. 2009

International Journal of Fatigue

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Plastic deformation within the crack tip region introduces internal stresses that modify subsequent behaviour of the crack and are at the origin of history effects in fatigue crack growth.Consequently, fatigue crack growth models should include plasticity induced history effects. A model was developed and validated for mode I fatigue crack growth under variable amplitude loading conditions. The purpose of this study was to extend this model to mixed mode loading conditions. Finite element analyses are commonly employed to model crack tip plasticity and were shown to give very satisfactory results. However, if millions of cycles need to be modelled to predict the fatigue behaviour of an industrial component, the finite element method becomes computationally too expensive. By employing a multiscale approach, the local results of FE computations can be brought to the global scale. This approach consists of partitioning the velocity field at the crack tip into plastic and elastic parts. Each part is partitioned into mode I and mode II components, and finally each component is the product of a reference spatial field and an intensity factor. The intensity factor of the mode I and mode II plastic parts of the velocity fields, denoted by dρ I /dt and dρ II /dt, allow measuring mixed-mode plasticity in the crack tip region at the global scale.Evolutions of dρ I /dt and dρ II /dt, generated using the FE method for various loading histories, enable the identification of an empirical cyclic elastic-plastic constitutive model for the crack tip region at the global scale. Once identified, this empirical model can be employed, with no need of additional FE computations, resulting in faster computations. With the additional hypothesis that the fatigue crack growth rate and direction can be determined from mixed mode crack tip plasticity (dρ I /dt and dρ II /dt), it becomes possible to predict fatigue crack growth under I/II mixed mode and variable amplitude loading conditions. To compare the predictions of this model with experiments, an asymmetric four point bend test system was set-up. It allows applying any mixed mode loading case from a pure mode I condition to a pure mode II. Initial experimental results showed an increase of the mode I fatigue crack growth rate after the application of a set of mode II overload cycles.

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2013

Extended Finite Element Method for Crack Propagation

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Local approach to fatigue cracks bifurcation

Cited by 28 publications

References 11 publications

Growth of long fatigue cracks under non-proportional loadings – experiment and simulation

Growth of long fatigue cracks under non-proportional loadings – experiment and simulation

History effect in fatigue crack growth under mixed-mode loading conditions

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