A probabilistic two‐scale model for high‐cycle fatigue life predictions

Doudard, Cédric; Calloch, Sylvain; Cugy, P.; Galtier, André; Hild, François

doi:10.1111/j.1460-2695.2005.00854.x

Cited by 122 publications

(156 citation statements)

References 30 publications

Supporting

Mentioning

152

Contrasting

Unclassified

Order By: Relevance

“…For this type of mechanism, it was shown that the power law (1) is able to model not only the fatigue properties but also dissipation phenomena [23]. As explained in Section 2.3, continuous formation of mesocracks corresponds to an incubation "time" (or number of cycles), that is the time needed by microcracks to initiate and propagate before forming a mesocrack.…”

Section: Microcrack Densitymentioning

confidence: 99%

“…This hypothesis was already used to analyze probabilistic features associated with brittle fracture [18], multiple cracking of composites [19], dynamic fragmentation of ceramics [20], damage and fracture in cyclic fatigue [21][22][23]. In many instances, Monte-Carlo simulations are then devised to account for the afore-mentioned phenomena [19,21,24,22].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A probabilistic model to predict the formation and propagation of crack networks in thermal fatigue

Malesys

Vincent

Hild

2009

International Journal of Fatigue

View full text Add to dashboard Cite

A probabilistic model is presented to predict the formation and propagation of crack networks in thermal fatigue. It is based on a random distribution of sites where cracks initiate and on the shielding phenomenon corresponding to the relaxed stress field created around cracks. Currently, the model considers only heterogeneous uniaxial stress loading even if thermal fatigue is multiaxial. However, the first simulations on a uniaxial mechanical loading representative of the stress gradient that appears in thermal fatigue shocks are in qualitative agreement with experimental results. The larger the stress amplitude, the denser the crack network and the smaller the crack sizes.

show abstract

Section: Microcrack Densitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A probabilistic model to predict the formation and propagation of crack networks in thermal fatigue

Malesys

Vincent

Hild

2009

International Journal of Fatigue

View full text Add to dashboard Cite

show abstract

“…(9), Weibull proposed that   should be replaced by the normal stresses acting on the material plane. The same kind of expression was introduced by Doudard [22] for a multiaxial fatigue model in order to take into account heat generated by local microplasticity induced by fatigue cycling. In the following, for sake of simplicity the parameter   0 y  will be considered to be negligible compared to the load level represented by a T .…”

Section: Meso-plasticity In the Matrix: Elastic Shakedown At The Mesomentioning

confidence: 99%

Modelling the role of non-metallic inclusions on the anisotropic fatigue behaviour of forged steel

Pessard

Morel

et al. 2011

International Journal of Fatigue

View full text Add to dashboard Cite

is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractForged components are known to show high cyclic and monotonic mechanical properties. This is mainly due to a better compactness and a finer microstructure introduced by the forming process. However, this good mechanical behaviour is sometimes a source of anisotropy especially when the microstructural heterogeneities are not randomly distributed and/or oriented. This study aims at describing the high cycle fatigue response of a forged bainitic steel. This material contains a lot of elongated manganese sulphide (MnS) inclusions, oriented as a function of the rolling or forging direction. Specimens with different orientations relative to the rolling direction are tested in fatigue under push-pull uniaxial and torsion loads.The influence of "inclusion clusters" is clearly demonstrated via the observation of the failure surfaces. Experiments show that the anisotropic fatigue behaviour is due to a change in the crack initiation mechanism. At 0°, when the inclusions are parallel to the applied stress, micro-crack initiation is controlled by the material matrix. At 45° and 90°, elongated manganese-sulfide inclusion clusters are the origin of crack initiation and the fatigue strength drops significantly.A statistical approach based on the competition between two different crack initiation mechanisms is proposed. One mechanism is modelled by local elastic shakedown concepts and the other by linear elastic fracture mechanics. This approach leads to a Kitagawa type diagram and explains the anisotropy in the material. The approach developed in this study demonstrates a framework using both the elastic shakedown concept and the weakest link theory to account for the loading mode, loading path and data scatter in High Cycle Fatigue.

show abstract

“…One observes that beyond a given stress level, that is closed to the fatigue limit, the steady-state temperature increase significantly (Figure 4). Recently, a two-scale probabilistic model has been proposed to identify HCF properties from self-heating measurement [6]. The influence on the fatigue properties of the studied steel can be determined by self-heating measurements by using specimen with a constant section that have been uniformerly pre-strained (figure 4).…”

Section: Introductionmentioning

confidence: 99%

Digital image correlation and infrared measurements to determine the inﬂuence of a uniaxial pre-strain on fatigue properties of a dual phase steel.

Munier

Doudard²,

Calloch³

et al. 2010

EPJ Web of Conferences

Self Cite

View full text Add to dashboard Cite

Abstract. The high cycle fatigue (HCF) is a major element for a great design of automotive parts. A wide part of the steel sheets for the automotive industry are stamped, sometimes deeply. During this operation, the steel is plastically strained in different directions, so that a good prediction of the fatigue behavior requires the determination of the fatigue properties of the pre-strained material. Nowadays, the evolution of HCF properties is often neglected, because of prohibitive time dedicated to traditional fatigue campaigns. To reduce the characterization time, self-heating measurements are used. This approach permits to identify the influence of homogeneous pre-strain on fatigue properties. The aim of this paper is to develop an original experimental test to identify this influence for a wide range of pre-strain with only one specimen. The study of a particular case of specimen with a constant gradient of pre-strain is presented. Digital image correlation is a way to determine the heterogeneity of the plastic pre-strain on the specimen and infrared measurements with a "1D" approach allows the determination of the influence of a plastic pre-strain on the fatigue properties of the studied steel.

show abstract

A probabilistic two‐scale model for high‐cycle fatigue life predictions

Cited by 122 publications

References 30 publications

A probabilistic model to predict the formation and propagation of crack networks in thermal fatigue

A probabilistic model to predict the formation and propagation of crack networks in thermal fatigue

Modelling the role of non-metallic inclusions on the anisotropic fatigue behaviour of forged steel

Digital image correlation and infrared measurements to determine the inﬂuence of a uniaxial pre-strain on fatigue properties of a dual phase steel.

Contact Info

Product

Resources

About