Formulation of gradient multiaxial fatigue criteria

•Formulation of gradient fatigue criteria to capture gradient and loading effects.•Gradients of the shear stress amplitude and hydrostatic stress are simultaneously introduced.•Gradient versions of Crossland and Dang Van criteria are provided.•Experimental observations of gradient and loading effect...

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Bibliographic Details
Published in:International journal of fatigue 2014-04, Vol.61, p.170-183
Main Authors: Luu, D.H., Maitournam, M.H., Nguyen, Q.S.
Format: Article
Language:English
Subjects:
Applied sciences
Criteria
Engineering Sciences
Exact sciences and technology
Fatigue
Fatigue (materials)
Fatigue limit
Gradient effect
Gradient multiaxial fatigue
High cycle fatigue
Illustrations
Loading effect
Mathematical models
Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology
Metals. Metallurgy
Shear stress
Size effect
Stresses
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Summary:•Formulation of gradient fatigue criteria to capture gradient and loading effects.•Gradients of the shear stress amplitude and hydrostatic stress are simultaneously introduced.•Gradient versions of Crossland and Dang Van criteria are provided.•Experimental observations of gradient and loading effects are reproduced. A formulation of gradient fatigue criteria is proposed in the context of multiaxial high-cycle fatigue (HCF) of metallic materials. The notable dependence of fatigue limit on some common factors not taken into account in classical fatigue criteria, is analyzed and modeled. Three interconnected factors, the size, stress gradient and loading effects, are here investigated. A new class of fatigue criteria extended from classical ones with stress gradient terms introduced not only in the normal stress but also in the shear stress components, is formulated. Such a formulation allows to capture gradient effects and related “size” effects, as well as to cover a wide range of loading mode, then can model both phenomena “Smaller is Stronger” and “Higher Gradient is Stronger”. Gradient versions of some classical fatigue criteria such as Crossland and Dang Van are provided as illustrations.
ISSN:0142-1123
1879-3452
DOI:10.1016/j.ijfatigue.2013.11.014