Multiaxial fatigue damage estimation of structures under random vibrations using Matsubara’s criterion

•A multiaxial fatigue strategy under random vibrations using Matsubara’s criterion•Each parameter of Matsubara’s criterion will be calculated from the stresses PSDs.•A frequency domain strategy is compared with a time domain strategy which is proposed in this paper.•Numerical applications show the a...

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Bibliographic Details
Published in:International journal of fatigue 2019-07, Vol.124, p.253-264
Main Authors: Yaich, A., El Hami, A.
Format: Article
Language:English
Subjects:
Crack initiation
Crack propagation
Criteria
Damage assessment
Engineering Sciences
Fatigue failure
Fracture mechanics
Frequency domain analysis
Materials fatigue
Matsubara’s criterion
Mechanics
Multiaxial fatigue damage
Parameters
Power spectral density
Random loads
Random vibrations
Structural damage
Vibrations
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Summary:•A multiaxial fatigue strategy under random vibrations using Matsubara’s criterion•Each parameter of Matsubara’s criterion will be calculated from the stresses PSDs.•A frequency domain strategy is compared with a time domain strategy which is proposed in this paper.•Numerical applications show the advantages of the proposed strategy The purpose of such a multiaxial fatigue damage criterion is to estimate the life time of structures subject to multiaxial loads. Therefore, several methods are developed to achieve this purpose. Comparing with other criteria, Matsubara’s criterion predicts the fatigue damage with higher accuracy. However, this method has been applied only for constant amplitude loading. But, in real mechanical application structures are subject to random vibrations. So, in this paper we propose an extension of this criterion in the case of random structures under random vibrations, using a computationally efficient multiaxial fatigue damage strategy developed in frequency domain. Matsubara’s criterion is constituted of two parameters: one governing crack initiation, and the other governing crack growth. Each parameter will be calculated from the stresses Power Spectral Densities determined at each point of the structure. A time domain formulation is also proposed in order to compare the two strategies. Two numerical applications are then used, at the end of this paper, to present the advantages of the frequency domain strategy of Matsubara’s criterion for treating problem of multiaxial fatigue damage of structures under random loads.
ISSN:0142-1123
1879-3452
DOI:10.1016/j.ijfatigue.2019.03.003