Using enclosing ellipsoids in multiaxial fatigue strength criteria

We propose in this paper a scalar measure for the amplitude of shear stress variations based on the definition of an enclosing hyper-ellipsoid of minimum Frobenius norm. This equivalent shear amplitude is combined with the maximal mean stress, in both linear and quadratic functions, leading to two a...

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Bibliographic Details
Published in:European journal of mechanics, A, Solids A, Solids, 2006, Vol.25 (1), p.51-71
Main Authors: Zouain, Nestor, Mamiya, Edgar Nobuo, Comes, Fábio
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
High-cycle fatigue
Minimum norm enclosing ellipsoids
Multiaxial fatigue criteria
Physics
Solid mechanics
Structural and continuum mechanics
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Summary:We propose in this paper a scalar measure for the amplitude of shear stress variations based on the definition of an enclosing hyper-ellipsoid of minimum Frobenius norm. This equivalent shear amplitude is combined with the maximal mean stress, in both linear and quadratic functions, leading to two alternative fatigue criteria. The predictions of these criteria are compared with experimental data in order to validate the proposed shear amplitude measure. The crucial issue concerning the feasibility of the computation of the minimum norm ellipsoid is discussed and a practical algorithm is proposed and demonstrated.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2005.07.006