Estimating fatigue limit distributions under inhomogeneous stress conditions

Lorén, Sara

doi:10.1016/j.ijfatigue.2004.03.014

Cited by 11 publications

(4 citation statements)

References 6 publications

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“…Zhao et al [153] developed an approach to determine an appropriate distribution from four possible assumed distributions of the fatigue life under limited data. Lorén [154] presented a model for calculating the fatigue limit distribution based on the inclusion size.…”

Section: Fatigue Reliability Assessment Using Stress-life Methodmentioning

confidence: 99%

A State-of-the-Art Review on Fatigue Life Assessment of Steel Bridges

Han

2014

Mathematical Problems in Engineering

100

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Fatigue is among the most critical forms of damage potentially occurring in steel bridges, while accurate assessment or prediction of the fatigue damage status as well as the remaining fatigue life of steel bridges is still a challenging and unsolved issue. There have been numerous investigations on the fatigue damage evaluation and life prediction of steel bridges by use of deterministic or probabilistic methods. The purpose of this review is devoted to presenting a summary on the development history and current status of fatigue condition assessment of steel bridges, containing basic aspects of fatigue, classical fatigue analysis methods, data-driven fatigue life assessment, and reliability-based fatigue condition assessment.

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Section: Fatigue Reliability Assessment Using Stress-life Methodmentioning

confidence: 99%

A State-of-the-Art Review on Fatigue Life Assessment of Steel Bridges

Han

2014

Mathematical Problems in Engineering

100

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“…scale specimens; (ii) the slope k has been estimated from the S-N diagram of small scale specs at N ¼ 10 4 cycles; (iii) the fatigue limit of full-scale axles has been estimated through the ML method [28] assuming a log-normal distribution for fatigue strength.…”

Section: Tablementioning

confidence: 99%

Probabilistic fatigue assessment for railway axles and derivation of a simple format for damage calculations

Beretta

Regazzi

2016

International Journal of Fatigue

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This paper describes a procedure for the determination of railway axle risk of fatigue failure under service loading for a simple fatigue assessment compliant to modern structural recommendations.\ud After an initial review of reliability assessment under fatigue, a fully probabilistic approach is outlined, whose input data for the fatigue damage obtained with the EURAXLES project are briefly summarised. Then, a series of Montecarlo simulations was carried out in order to determine the maximum allowable stress for a given axle made of EA4T and EA1N under service conditions identified by di↵erent load spectra from the literature.\ud Results have been obtained in terms of a safety factor for damage calculations that allows designers to adopt a simple semi-probabilistic approach for designing axles for a target reliability against fatigue. The application of this procedure to a railway axle then shows how safety factors should be have to be further increased for taking into the prospective presence of impact damages

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“…Hence, it should be possible to express the probability of survival for a volume element Δ v under homogeneous stress as: The critical defect density, z 1 , can then according to and be expressed as: Introducing this equation into gives the probability of survival for an arbitrary component of volume V : This expression can be compared with the associated expression for the peak over threshold (POT) method. According to Yates et al 43 and Lorén, 44 the probability of survival according to the POT method is given by The scale parameter is given by 33 where a 0 , a * 0 and ξ′ are equal to those in . z 0 ( a th ) is the expected number of defects per unit volume of the material with sizes above the threshold a th .…”

Section: Volume Density Of Critical Defectsmentioning

confidence: 99%

Non‐local stress approach for fatigue assessment based on weakest‐link theory and statistics of extremes

Wormsen

Sjödin

Härkegård

et al. 2007

Fatigue Fract Eng Mat Struct

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A B S T R A C T In the present paper a non-local stress approach for fatigue assessment based on weakestlink theory and statistics of extremes is presented. It is a non-local stress approach in the sense that it takes the complete stress field into account rather than just the highest local stress. The statistical distribution of fatigue strength data from smooth standard specimens serves as a starting point for the computation of the probability of fatigue failure of a mechanical component under cyclic loading. The probability of fatigue failure can be obtained by post-processing results from a standard finite element stress analysis. It is shown that the non-local stress approach can be linked to the probability of finding the fatigue critical defect in the most highly stressed volume of the component. A numerical procedure is presented that is fully compatible with the results from a standard finite element stress analysis. It is further shown how the fatigue strength distribution can be transformed into a fatigue life distribution by using Basquin's equation. Finally, the nonlocal stress approach is used for predicting the fatigue limit of several specimens and predictions are compared with test results.Keywords block maximum method; effective stress amplitude; defects; finite element analysis; finite-element post-processor; statistics of extremes; surface effect; stress field; volume effect; weakest-link model. N O M E N C L A T U R E A = surface areaA 0 = reference surface area a = 'intrinsic' crack length a 0 = scale parameter in the generalized extreme value distribution a * 0 = characteristic largest defect size a crit = critical defect size B = Basquin coefficient b σ , b n = Weibull exponent G(a) = generalised extreme value distribution FEA = finite element analysis |J| = Jacobian determinant l = gauge length m = Basquin exponent n = number of cycles n = element face normal N = fatigue life (random variable) N * 0 = characteristic fatigue life N = element shape functions Correspondence: A. Wormsen.

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Estimating fatigue limit distributions under inhomogeneous stress conditions

Cited by 11 publications

References 6 publications

A State-of-the-Art Review on Fatigue Life Assessment of Steel Bridges

A State-of-the-Art Review on Fatigue Life Assessment of Steel Bridges

Probabilistic fatigue assessment for railway axles and derivation of a simple format for damage calculations

Non‐local stress approach for fatigue assessment based on weakest‐link theory and statistics of extremes

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