Experimental and statistical investigation of the weakest link integral and the volume effect

Karlén, Kristoffer; Olsson, Mårten

doi:10.1016/j.proeng.2010.03.157

Cited by 11 publications

(6 citation statements)

References 3 publications

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“…It has been used previously in the literature [3][4][5]19], and has proven to have relatively good predictive capabilities. In order to compute the fatigue failure probability using the WL-integral, a summation of the surface area of the specimen can be performed as…”

Section: The D-model Defect Based Mechanisms For Fatiguementioning

confidence: 99%

“…In a solid mechanics setting, the defects can be modeled using either stress based models like the Weakest Link (WL)-integral, [1,2], as in [3][4][5], or defect tolerant approaches for instance [6]. The defects can be either internal, volumetric, defects or surface defects.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, it is still possible that fatigue is initiated in a region of low stress because a large defect may be found there. The integration is performed either over the specimen volume, as in [3][4][5][13][14][15][16], or the specimen surface area, as in [4,5,17,18].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: The D-model Defect Based Mechanisms For Fatiguementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An investigation of a fatigue model with two competing failure mechanisms

Karlén¹,

Olsson²

2014

International Journal of Fatigue

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“…This specimen has been used in [1,3,4,9] for determining both the fatigue limits (one for each notch) and the finite life behavior. A set of experiments where fatigue failure could occur in both notches were performed.…”

Section: Introductionmentioning

confidence: 99%

“…Another way to model the fatigue limit scatter is to use the WL-integral, [7,8]. The integration can be performed over the specimen surface area [1,4,9,11,12] or as a volumetric entity [1,3,4,9,13,14].…”

Section: Introductionmentioning

confidence: 99%

An investigation of the location of fatigue initiation – Deterministic and probabilistic aspects

Karlén

Olsson

2014

International Journal of Fatigue

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Fatigue limit tests where there are two competing fatigue failure locations, two notches of different size, are performed in this paper. The normal distribution is used for describing the experimental outcome, where the largest occurring stress value or the gradient adjusted stress is used as a stress measure. Another model for describing the experimental outcome is the Weakest Link (WL)-integral where the integration is performed over the specimen surface area or the specimen volume. The longitudinal positions of the estimated fatigue failure sites are measured and investigated as well. Neither the normal distribution (point stress and gradient adjusted point stress), nor the WL-integral can explain the experimental outcome from the competing notch tests. They all predict the same trend, but not the same trend as in the experiments. When looking at the estimated longitudinal location of fatigue failure it can be seen that it differs considerably from experiment to experiment. If the stress is evaluated at the estimated fatigue failure location, it is seen that the local stress is much lower than the maximal stress. The load cases where there should be an equal amount of failures in both notches according to the different models do not agree with the experimental findings. It is concluded that stress based continuum models can not describe the experimental outcome when there are competing fatigue failure sites (notches) present.

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A study of the volume effect and scatter at the fatigue limit – experiments and computations for a new specimen with separated notches

Karlén¹,

Olsson²

2011

International Journal of Fatigue

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Experimental and statistical investigation of the weakest link integral and the volume effect

Cited by 11 publications

References 3 publications

An investigation of a fatigue model with two competing failure mechanisms

An investigation of a fatigue model with two competing failure mechanisms

An investigation of the location of fatigue initiation – Deterministic and probabilistic aspects

A study of the volume effect and scatter at the fatigue limit – experiments and computations for a new specimen with separated notches

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