Cycle distribution and fatigue damage assessment in broad-band non-Gaussian random processes

Benasciutti, Denis; Tovo, R.

doi:10.1016/j.probengmech.2004.11.001

Cited by 78 publications

(50 citation statements)

References 12 publications

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“…λ 0 , λ 1 , λ 2 and λ 4 ) through α 1 and α 2 indexes. Although the formula above has been shown to be fairly accurate (see [8,17]), it is our intention to also tentatively verify the following approximation:…”

Section: Tovo-benasciutti Methods (2002 2005)mentioning

confidence: 85%

“…As shown by the authors, this further theoretical step can be achieved if and only if the distribution of rainflow cycles is given as the joint density h RFC (u, v), i.e. a function of peak and valley levels [12].…”

Section: Considered Methods Spectral Parameters Requiredmentioning

confidence: 99%

“…In particular, the TB method has been shown to be as accurate as the DK approach, which is recognised as one of the best predictors for rainflow damage [20,21]. However, the possibility of the TB method estimating the h RFC (u, v) joint density gives the further advantage of including both the mean value influence and the effect of non-normalities (see [12]). …”

Section: Numerical Simulationsmentioning

confidence: 99%

“…In these applications, non-Gaussianity should be adequately included into the fatigue analysis, since it might considerably increase the rate of fatigue damage accumulation. This problem has been addressed by the authors in a separate paper [12].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes

Benasciutti

Tovo

2006

Probabilistic Engineering Mechanics

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164

122

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Section: Tovo-benasciutti Methods (2002 2005)mentioning

confidence: 85%

Section: Considered Methods Spectral Parameters Requiredmentioning

confidence: 99%

Section: Numerical Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes

Benasciutti

Tovo

2006

Probabilistic Engineering Mechanics

Self Cite

164

122

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“…According to this definition, the variance is a statistical quantity which is independent from the mean value of the considered signal. If attention is focussed specifically on time-variable load histories, the variance of a stress/strain signal is seen be related to the amount of damage caused by the signal itself [33,34]. Figure 2c): …”

Section: The Maximum Variance Concept To Determine the Stress/strain mentioning

confidence: 99%

The Modified Manson–Coffin Curve Method to estimate fatigue lifetime under complex constant and variable amplitude multiaxial fatigue loading

Wang

Susmel

2016

International Journal of Fatigue

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This paper investigates the accuracy of the so-called Modified Manson-Coffin Curve Method (MMCCM) in estimating fatigue lifetime of metallic materials subjected to complex constant and variable amplitude multiaxial load histories. The MMCCM postulates that fatigue damage is maximised on that material plane experiencing the maximum shear strain amplitude. In the present investigation, the orientation of the critical plane was determined through that direction along which the variance of the resolved shear strain reaches it maximum value. Under variable amplitude complex load histories, this direction was also used to count the resolved shear strain cycles via the classic Rain-Flow method. Further, the degree of multiaxiality and nonproportionality of the time-variable stress states at the assumed critical locations was directly quantified through a suitable stress ratio which accounts for (i) the mean value and the variance of the stress perpendicular to the critical plane as well as for (ii) the variance of the shear stress resolved along the direction experiencing the maximum variance of the resolved shear strain. The accuracy and reliability of the proposed approach was checked against approximately 650 experimental data taken from the literature and generated by testing un-notched metallic materials under complex constant and variable amplitude multiaxial load histories. The sound agreement between estimates and experimental results which was obtained strongly supports the idea that the proposed design technique is a powerful engineering tool allowing metallic materials to be designed against constant and variable amplitude multiaxial fatigue by always reaching a remarkable level of accuracy. This approach offers a complete solution to the strain based multiaxial fatigue problem.

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Frequency‐based analysis of random fatigue loads: Models, hypotheses, reality

Benasciutti

Tovo

2018

Materialwissenschaft Werkst

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Spectral methods use analytical expressions to estimate the fatigue damage in vibrating structures subjected to uniaxial or multiaxial random stresses. They exploit the random vibration theory which idealizes the random stress as a random process characterized by a power spectral density (PSD) in the frequency‐domain. The random process is hypothesized to be stationary or non‐stationary, Gaussian or non‐Gaussian, and with narrow‐band or wide‐band power spectral density. The accuracy of analytical spectral solutions depends on whether such hypotheses are fulfilled by actual random time‐histories encountered in practice. Knowing the range of applicability of each spectral method is then of utmost importance to avoid estimation errors. After a short account on the frequency‐domain description of random processes, this paper presents a brief survey on selected spectral methods for uniaxial and multiaxial random loading. It then analyzes when the hypotheses behind each spectral method are not verified in reality, with the purpose to provide recommendations for a safe use of frequency‐based methods.

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Cycle distribution and fatigue damage assessment in broad-band non-Gaussian random processes

Cited by 78 publications

References 12 publications

Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes

Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes

The Modified Manson–Coffin Curve Method to estimate fatigue lifetime under complex constant and variable amplitude multiaxial fatigue loading

Frequency‐based analysis of random fatigue loads: Models, hypotheses, reality

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