A new non-local criterion in high-cycle multiaxial fatigue for non-proportional loadings

Chamat, A.; Abbadi, M.; Gilgert, J.; Cocheteux, Franck; Azari, Z.

doi:10.1016/j.ijfatigue.2006.10.033

Cited by 24 publications

(12 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We examined one family of predictors in this class, characterized by the parameters α and β as defined by equations (9) and (10). Using planar domains with elliptic notches we demonstrated that this family of predictors is equivalent to the predictor proposed by Peterson [2] within the range of notch radii investigated by Peterson.…”

Section: Discussionmentioning

confidence: 96%

See 1 more Smart Citation

Predictors of fatigue damage accumulation in the neighborhood of small notches

Szabó

Actis

Rusk

2016

International Journal of Fatigue

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 96%

“…The distinction between the two categories is blurred by the fact that the classical criteria can be viewed as applications of non-local criteria [9]. A summary of several local and non-local criteria is presented in [10], [1].…”

Section: Predictors Of Damage Accumulationmentioning

confidence: 99%

Predictors of fatigue damage accumulation in the neighborhood of small notches

Szabó

Actis

Rusk

2016

International Journal of Fatigue

View full text Add to dashboard Cite

“…Chamat et al 56 . proposed the following combination of the effective normal and shear stresses to evaluate the fatigue reliability under multiaxial non‐proportional fatigue loading conditions.…”

Section: A Brief Review Of Some Of the Prominent Or Recently Proposedmentioning

confidence: 99%

Three energy‐based multiaxial HCF criteria for fatigue life determination in components under random non‐proportional stress fields

Shariyat¹

2009

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

A B S T R A C TThe prominent high cycle fatigue (HCF) criteria have been generally proposed based on definition of an equivalent stress that is mainly a modified version of a static failure criterion or a static yield function. One or more effects including the mean normal and shear stresses, different phase shifts or random frequencies of the stress components, relative instantaneous time variations of the stress components, relative time locations of the extrema of the time histories of the stress components, etc. have not been considered by many of the previously proposed criteria. In the present paper, based on the proposed instantaneous stress amplitude and mean stress concepts, three new energy-based HCF criteria are proposed to overcome the mentioned shortcomings. A relevant fatigue life assessment algorithm is proposed and results of the prominent criteria are compared with results of the proposed criteria as well as the experimental results prepared by the author. To introduce a comprehensive study, the criteria are examined for components with complicated geometries under proportional, non-proportional and random loadings. Results confirm the efficiency and accuracy of the proposed criteria. Furthermore, it is deduced that the Liu-Zenner type criteria which include the hydrostatic stress implicitly are more accurate than the Papadopoulos-type criteria that consider the hydrostatic stress explicitly.Keywords energy approach; experimental fatigue; high cycle fatigue; instantaneous stress amplitude; random non-proportional loading; three-dimensional stress field. N O M E N C L A T U R E a, a, b, c, d = material-dependent parameters b = exponent of Coffin's expression D = fatigue damage E = elastic modulus f = shear strength at the failure, frequency f , m, n = constants of Marin's equation G = shear elastic modulus k = a material constant k = cyclic coefficient of Ramberg-Osgood equation J 2 = second invariant of the deviatoric stress tensor m = exponent of the S-N or T-N curve equation for a fully reversed loading m = a unit vector N = number of cycles to failure N 2 = number of cycles of the base stress component signal n = a unit vector normal to the examination plane Correspondence: M. Shariyat.

show abstract

“…The equivalent stress amplitude or range is then used to enter a uniaxial S-N curve to determine the damage indicator D i of the sequential law. The famous methods for making such transformation are extensions of von Mises (octahedral shear stress) or Tresca (maximum shear stress) yield criteria for proportional loading conditions [5,[7][8][9]. Here, von Mises yield criteria is used for the transformation and multiaxial stress fields at critical locations were considered in terms of equivalent von Mises stress amplitudes or ranges.…”

Section: A New Damage Indicator Based Sequential Lawmentioning

confidence: 99%