A stress invariant based spectral method to estimate fatigue life under multiaxial random loading

Cristofori, Alessandro; Benasciutti, Denis; Tovo, R.

doi:10.1016/j.ijfatigue.2011.01.013

Cited by 73 publications

(51 citation statements)

References 25 publications

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“…for fully reversed torsion [8]. It can be observed that, in general, fatigue damage rate is slightly lower than that of the reference sinusoidal loading.…”

Section: Random Biaxial Loading: Numerical Simulationsmentioning

confidence: 77%

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Effect of spectral cross-correlation on multiaxial fatigue damage: simulations using the critical plane approach

Carpinteri¹,

Spagnoli²,

Vantadori³

2017

Frattura Ed Integrità Strutturale

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ABSTRACT. The present paper aims to discuss a frequency-domain multiaxial fatigue criterion based on the critical plane approach, suitable for fatigue life estimations in the presence of proportional and non-proportional random loading. The criterion consists of the following three steps: definition of the critical plane, Power Spectral Density (PSD) evaluation of an equivalent normal stress, and estimation of fatigue damage. Such a frequency-domain criterion has recently been validated by using experimental data available in the literature, related to combined proportional and non-proportional bending and torsion random loading. The comparison with such experimental data has been quite satisfactory. In order to further validate the above criterion, numerical simulations are herein performed by employing a wide group of combined bending and torsion signals. Each of such signals is described by an ergodic, stationary and Gaussian stochastic process, with zero mean value. The spectrum of each signal is assumed to be represented by a PSD function with rectangular shape. Different values of correlation degree, variance and spectral content are examined. KEYWORDS.Critical plane-based criterion; Frequency-domain criterion; Power Spectral Density.Citation: Carpinteri, A., Spagnoli, A., Vantadori, S., Effect of spectral crosscorrelation on multiaxial fatigue damage: simulations using the critical plane approach, Frattura ed Integrità Strutturale, 41 (2017) 40-44.

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“…for fully reversed torsion [8]. It can be observed that, in general, fatigue damage rate is slightly lower than that of the reference sinusoidal loading.…”

Section: Random Biaxial Loading: Numerical Simulationsmentioning

confidence: 77%

“…By exploiting both Eq. (1) and the Schwartz inequality [8], which states that 16 S is non-negative only where 11 S and 66 S are overlapped and zero elsewhere, the height 16 h of the rectangular cross-spectrum is computed for each considered biaxial loading state. …”

Section: Random Biaxial Loading: Numerical Simulationsmentioning

confidence: 99%

Effect of spectral cross-correlation on multiaxial fatigue damage: simulations using the critical plane approach

Carpinteri¹,

Spagnoli²,

Vantadori³

2017

Frattura Ed Integrità Strutturale

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“…A proposal is made here to reformulate the A-Z scaling law by using the so-called "Projection-by-Projection" (PbP) criterion, which is a stress invariant-based multiaxial criterion that can account for both torsion and tension S-N parameters (the main theoretical aspects are outside the goal of this work and they can be found elsewhere [14,15]). The PbP method computes the fatigue damage in time T as: (20) where d i is the damage intensity (damage/s) of the i-th stress projection in the deviatoric space, which can be estimated by uniaxial spectral methods, see Section 3.1.…”

Section: Fig 10 Distribution Of Log(t S ) (Case 1) By Pbp Criterionmentioning

confidence: 99%

“…the inverse of fatigue damage) for each stress projection is estimated by the TB method for wide-band stress (see Eq. (8) [14,15]). To appreciate the effect of S-N parameters, Fig.…”

Section: Fig 10 Distribution Of Log(t S ) (Case 1) By Pbp Criterionmentioning

confidence: 99%

A bandwidth correction to the Allegri-Zhang solution for accelerated random vibration testing

2018

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Abstract. In 2008, Allegri and Zhang published a study [Int. J. Fatigue. 2008, 30(6):967-977] in which they provided an exact analytical solution to the inverse scaling law for accelerated vibration tests of linear systems submitted to stationary Gaussian excitations By combining finite element analysis with multiaxial spectral methods defined in the frequency-domain, their solution generalised the simple inverse power law model suggested in some standards. The solution adopted the "equivalent von Mises stress" multiaxial criterion combined with the narrow-band damage expression. This work aims to propose a bandwidth correction to the original Allegri-Zhang solution to account for the actual spectral bandwidth of the local multiaxial stress. The corrected Allegri-Zhang solution is also extended to another multiaxial spectral method, namely the "Projection-by-Projection" criterion. A numerical example is finally discussed, in which the corrected solution is applied to an L-shaped beam submitted to random accelerations.

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“…Many authors assume that the crack initiation is governed by the second invariant of the deviatoric stress tensor and the hydrostatic stress (Cristofori et al 2008;Li et al (2009) ;Cristofori et al 2011;Jingran et al 2015). Among current multiaxial fatigue criteria, stress invariant-based criteria, such as the Crossland (1956) and Sines (1955) models are attractive for engineering design of high cycle fatigue components because it is easy-to-use.…”

Section: Introductionmentioning

confidence: 99%

Fatigue Equivalent Stress State Approach Validation in Non-conservative Criteria: a Comparative Study

Tchoupou

Fotsing

2015

Lat. Am. j. solids struct.

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This paper is concerned with the fatigue prediction models for estimating the multiaxial fatigue limit. An equivalent loading approach with zero out-of-phase angles intended for fatigue limit evaluation under multiaxial loading is used. Based on experimental data found in literatures, the equivalent stress is validated in Crossland and Sines criteria and predictions compared to the predictions of existing multiaxial fatigue; results over 87 experimental items show that the equivalent stress approach is very efficient.

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A stress invariant based spectral method to estimate fatigue life under multiaxial random loading

Cited by 73 publications

References 25 publications

Effect of spectral cross-correlation on multiaxial fatigue damage: simulations using the critical plane approach

Effect of spectral cross-correlation on multiaxial fatigue damage: simulations using the critical plane approach

A bandwidth correction to the Allegri-Zhang solution for accelerated random vibration testing

Fatigue Equivalent Stress State Approach Validation in Non-conservative Criteria: a Comparative Study

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