Fatigue crack growth under non‐proportional mixed‐mode loading in ferritic‐pearlitic steel

Doquet, Véronique; Pommier, Sylvie

doi:10.1111/j.1460-2695.2004.00817.x

Cited by 50 publications

(34 citation statements)

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“…Does the loading path have an intrinsic influence, or can all this influence be captured through appropriate corrections for closure and friction effects on stress intensity factors, that is, by the use of K effective I , K effective II , K effective III ? This problem is complex and no clear answer emerges from the literature on non-proportional mixedmode I and II (Gao et al 1983;Hourlier et al 1985;Wong et al 1996Wong et al , 2000Planck and Kuhn 1999;Yu and Abel 2000;Doquet and Pommier 2004) or mode I and III (Feng et al 2006). The latter concludes: "with identical loading magnitudes in the axial and torsional directions, the crack growth and crack profiles are strongly dependent on the loading path.…”

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Influence of the loading path on fatigue crack growth under mixed-mode loading

et al. 2009

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International audienceFatigue crack growth testswere performed under various mixed-mode loading paths, on maraging steel. The effective loading paths were computed by finite element simulations, in which asperity-induced crack closure and friction were modelled. Application of fatigue criteria for tension or shear-dominated failure after elastic–plastic computations of stresses and strains, ahead of the crack tip, yielded predictions of the crack paths, assuming that the crack would propagate in the direction which maximises its growth rate. This approach appears successful in most cases considered herein

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Influence of the loading path on fatigue crack growth under mixed-mode loading

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“…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%

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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“…The question whether a ΔK I based curve would always be a conservative upper bound to mixed mode results or not is not easily answered. Note that some synergy effects between mode I and II could occur: Superimposed mode I loading would cause a reduction of crack face friction this way promoting mode II crack propagation and mode II loading could influence mode I propagation by affecting crack closure [119]. Note that, at least for shorter cracks, liquids entrapped in the crack could also play a role (cf.…”

Section: Figure 58mentioning

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Introduction to the damage tolerance behaviour of railway rails – a review

Zerbst¹,

Lundén

Edel

et al. 2009

Engineering Fracture Mechanics

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Despite substantial advantages in material development and in periodic non-destructive inspection together with periodic grinding and other measures in order to guarantee safe service, fatigue crack propagation and fracture is still in great demand as emphasised by the present special issue. Rails, as the heart of the railway system, are subjected to very high service loads and harsh environmental conditions. Since any potential rail breakage includes the risk of catastrophic derailment of vehicles, it is of paramount interest to avoid such a scenario. The aim of the present paper is to introduce the most important questions regarding crack propagation and fracture of rails. These include the loading conditions: contact forces from the wheel and thermal stresses due to restrained elongation of continuously welded rails together with residual stresses from manufacturing and welding in the field, which is discussed in Section 2. Section 3 provides an overview of crack-type rail defects and potential failure scenarios. Finally the stages of crack propagation from initiation up to final breakage are discussed.

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Fatigue crack growth under non‐proportional mixed‐mode loading in ferritic‐pearlitic steel

Abstract: International audienc

Cited by 50 publications

References 17 publications

Influence of the loading path on fatigue crack growth under mixed-mode loading

Influence of the loading path on fatigue crack growth under mixed-mode loading

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

Introduction to the damage tolerance behaviour of railway rails – a review

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