A probabilistic model for the fatigue reliability of structures under random loadings with phase shift effects

A probabilistic model is proposed for the high-cycle fatigue reliability of structures subject to multiaxial Gaussian random loadings with non-zero means. It is based on the Sines’criterion combined with an oriented prismatic hull approach for its equivalent shear stress amplitude J 2 , a in order t...

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Bibliographic Details
Published in:International journal of fatigue 2010-02, Vol.32 (2), p.463-474
Main Authors: Lambert, S., Pagnacco, E., Khalij, L.
Format: Article
Language:English
Subjects:
Applied sciences
Density
Engineering Sciences
Exact sciences and technology
Fatigue
Fatigue (materials)
Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology
Metals. Metallurgy
Multiaxial high-cycle fatigue
Non-proportional loading
Phase shift
Probabilistic methods
Probability theory
Random loading
Stresses
Structural fatigue reliability
Three dimensional
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Summary:A probabilistic model is proposed for the high-cycle fatigue reliability of structures subject to multiaxial Gaussian random loadings with non-zero means. It is based on the Sines’criterion combined with an oriented prismatic hull approach for its equivalent shear stress amplitude J 2 , a in order to account for possible phase shifts between stresses involves in these loadings. The extreme value distributions along the founded directions are efficiently assessed in the frequency domain, from which we formulate the distribution of J 2 , a . This allows assessing the fatigue reliability of 3D structures. The complete methodology is illustrated by a didactic example and on a realistic problem having a wide-band power spectral density field of stresses.
ISSN:0142-1123
1879-3452
DOI:10.1016/j.ijfatigue.2009.09.007