Issue 33

C. Montebello et alii, Frattura ed Integrità Strutturale, 33 (2015) 159-166; DOI: 10.3221/IGF-ESIS.33.20 166 The future works will focus on the development of a fatigue criterion that take as input the nonlocal stress intensity factors extracted from the post-treatment of the velocity field. In this way it should be possible to place the position of the crack initiation frontier easily. The second main objective is to apply the procedure to an industrial part. In particular the disc-blade root attachment will be analyzed. The authors acknowledge Snecma (Safran group) for its financial support, within the IRG COGNAC project framework. R EFERENCES [1] Araújo, J., Susmel, L., Taylor, D., Ferro, J., Mamiya, E., On the use of the theory of critical distances and the modified wöhler curve method to estimate fretting fatigue strength of cylindrical contacts, International Journal of Fatigue, 29 (1) (2007) 95-107. [2] Fouvry, S., Gallien, H., Berthel, B., From uni- to multi-axial fretting-fatigue crack nucleation: Development of a stress-gradient-dependent critical distance approach, International Journal of Fatigue, 62(0) (2014) 194-209. [3] Fouvry, S., Nowell, D., Kubiak, K., Hills, D., Prediction of fretting crack propagation based on a short crack methodology, Engineering Fracture Mechanics, 75 (6) (2008) 1605-1622. [4] Dini, D., Nowell, D., Dyson, I. N., The use of notch and short crack approaches to fretting fatigue threshold prediction: Theory and experimental validation, Tribology International, 39(10) (2006) 1158-1165. [5] Giannakopoulos, A., Lindley, T., Suresh, S., Aspects of equivalence between contact mechanics and fracture mechanics: theoretical connections and a life-prediction methodology for fretting-fatigue, Acta Mater, 46(9) (1998) 2955-68. [6] Giannakopoulos, A., Suresh, S., Chenut, S., Similarities of stress concentrations in contact at round punches and fatigue at notches: implication to fretting fatigue crack initiation, Fatigue Fract Eng Mater Struct, 23(7) (2000) 561-71. [7] Pommier, S., Hamam, R., Incremental model for fatigue crack growth based on a displacement partitioning hypothesis of mode I elastic-plastic displacement fields, Fatigue & Fracture of Engineering Materials & Structures, 30 (7) (2007) 582-598. [8] Pommier, S., Lopez-Crespo, P., Decreuse, P.Y., A multi-scale approach to condense the cyclic elastic-plastic behaviour of the crack tip region into an extended constitutive model, Fatigue & Fracture of Engineering Materials & Structures, 32(11) (2009) 899-915. [9] Montebello, C., Pommier, S., Demmou, K., Leroux, J., Meriaux, J., Analysis of the stress gradient effect in fretting- fatigue through nonlocal intensity factors, Internation Journal of Fatigue, (2015). [10] Loéve, M., Probability Theory, Van Nostrand, New York, (1955). [11] Vingsbo, O., Söderberg, S., On fretting maps, Wear, 126(2) (1988) 131-147.