Application of a weakest‐link concept to the fatigue limit of the bearing steel SAE 52100 in a bainitic condition

Bomas, H.; Linkewitz, T.; Mayr, P.

doi:10.1046/j.1460-2695.1999.t01-1-00211.x

Cited by 55 publications

(48 citation statements)

References 11 publications

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“…The endurance limits were calculated on the basis of the weakest-link concept, as described before [2]. For crack initiation in the volume Dang Van's criterion [3] was applied, which uses the equivalent value τ α…”

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confidence: 99%

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Crack initiation and endurance limit of hard steels under multiaxial cyclic loads

Bomas

Kienzler

Kunow³

et al. 2008

Strength Mater

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confidence: 99%

“…Hereby, the influence of mean stresses, multiaxial stress conditions and stress gradients on the fatigue behavior could be evaluated. Based on the collected data, a calculation method was applied which is based on the weakest-link model [1] and on suitable high-cycle fatigue criteria for surface and volume crack initiation [2,3].…”

mentioning

confidence: 99%

Crack initiation and endurance limit of hard steels under multiaxial cyclic loads

Bomas

Kienzler

Kunow³

et al. 2008

Strength Mater

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“…The competition between the two failure modes (area and volume) has been modeled in HCF using a Poisson process in [7][8][9]. In [11,12], the two different failure mechanisms are modeled as two different WL-integrals, one for area and one for volume.…”

Section: Introductionmentioning

confidence: 99%

An investigation of a fatigue model with two competing failure mechanisms

Karlén¹,

Olsson²

2014

International Journal of Fatigue

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A new combined fatigue model that considers a defect based and a stress based mechanism is presented. The defect part is based on the weakest link theory, where the integration is performed either over the surface area or the volume of the component. The stress based mechanism is described by the normal distribution, where the stress is either the largest occurring stress value, the point stress, or the point stress adjusted with the stress gradient, denoted the gradient adjusted point stress. Experiments on notched specimens have been performed. The combined model behaves almost like only a stress based model at high failure probabilities. At low failure probabilities, results are less clear. There, the stress based model is not accurate and the defect based model (both for area and volume) dominates. Using the gradient adjusted point stress in the stress based model and the volumetric weakest link integral in the defect based model being described by gives the best overall fit to the probability of failure. It is noted that for design with respect to high failure probabilities (> 20 %), it is enough use only the gradient adjusted stress based model.

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“…This formalism has been used by several authors to predict the probability distribution of the fatigue strength. The approach by Bomas et al [3] is based on a relation between the distribution of the size of defects in the material and the failure probability. These authors distinguish the fatigue crack initiation on the surface and in the core of material.…”

Section: Introductionmentioning

confidence: 99%

“…A usual statistical approach (i.e. the weakest link concept, already used by Bomas [3], Hild [4], Chantier [5] and Flacelière [6]) is hereafter combined with the deterministic volumetric energy-based criterion proposed in Refs. [1,2].…”

Section: Introductionmentioning

confidence: 99%

Estimation of the fatigue strength distribution in high-cycle multiaxial fatigue taking into account the stress–strain gradient effect

Delahay

Palin‐Luc

2006

International Journal of Fatigue

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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. AbstractBased on the weakest link concept, a probabilistic approach in high-cycle multiaxial fatigue is developed to predict, for a given number of cycles, the probability distribution of the fatigue strength for metallic structural components. EMAS: Stockholm; 2002, p. 283-90]. Whatever the stress state and the loading type are, the corresponding fatigue strength probability distribution can be deduced from three usual experimental fatigue limits. The scale effect is also predicted. Experimental probability distributions and theoretical predictions of the fatigue strength of smooth specimens are in good agreement for the five materials investigated: the 30NiCrMo16 and 35CrMo4 quenched and tempered steels, the C20 annealed steel, the EN-GJS800-2 nodular cast iron and the Ti-6Al-4V titanium alloy.

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Application of a weakest‐link concept to the fatigue limit of the bearing steel SAE 52100 in a bainitic condition

Cited by 55 publications

References 11 publications

Crack initiation and endurance limit of hard steels under multiaxial cyclic loads

Crack initiation and endurance limit of hard steels under multiaxial cyclic loads

An investigation of a fatigue model with two competing failure mechanisms

Estimation of the fatigue strength distribution in high-cycle multiaxial fatigue taking into account the stress–strain gradient effect

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