Comptes Rendus
no. 12
A simple multiaxial fatigue criterion for metals
[Un critère simple d'éndurance à la fatigue multiaxiale des métaux.]

Présenté par : Évariste Sanchez-Palencia

Camilla de Andrade Gonçalves1  ; José Alexander Araújo1  ; Edgar Nobuo Mamiya1
1 Departamento de Engenharia Mecânica, Universidade de Brasília, 70910-900 Brasília, DF, Brasil
Comptes Rendus. Mécanique, Volume 332 (2004) no. 12, pp. 963-968.

On propose un critère simple d'endurance à la fatigue polycyclique, applicable à des situations pour lesquelles l'envelope convexe associé à l'histoire des contraintes s'approche bien d'une ellipse. Le critère considère, comme mesures de solicitation à la fatigue : (i) une nouvelle définition de l'amplitude de contrainte de cisaillement ; et (ii) la contrainte principale maximale au cours de l'histoire de chargement.

A new simple multiaxial high-cycle fatigue endurance criterion, suitable for situations where the convex hull associated with the stress path approximates well an ellipsoid, is proposed. It considers, as measures of fatigue solicitation: (i) a new definition for the equivalent shear stress amplitude; and (ii) the maximum principal stress along the stress history. Assessment of the resulting criterion for a wide range of in-phase and out-phase cyclic loads shows that it compares very well with experimental data published in the literature.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2004.09.003
Keywords: Fatigue, Fatigue strength, Multiaxial high-cycle fatigue, Nonproportional loading
Mot clés : Fatigue, Éndurance à la fatigue, Fatigue multiaxiale polycyclique, Chargement non-proportionel
Camilla de Andrade Gonçalves 1 ; José Alexander Araújo 1 ; Edgar Nobuo Mamiya 1

1 Departamento de Engenharia Mecânica, Universidade de Brasília, 70910-900 Brasília, DF, Brasil 
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Camilla de Andrade Gonçalves; José Alexander Araújo; Edgar Nobuo Mamiya. A simple multiaxial fatigue criterion for metals. Comptes Rendus. Mécanique, Volume 332 (2004) no. 12, pp. 963-968. doi : 10.1016/j.crme.2004.09.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.09.003/

[1] G. Sines Behavior of metals under complex static and alternating stresses (G. Sines; L. Waisman, eds.), Metal Fatigue, McGraw–Hill, New York, 1959, pp. 145-169

[2] I.V. Papadopoulos; P. Davoli; C. Gorla; M. Filippini; A. Bernasconi A comparative study of multiaxial high-cycle fatigue criteria for metals, Int. J. Fatigue, Volume 19 (1997), pp. 219-235

[3] B. Crossland Effect of large hydrostatic pressures on the torsional fatigue strength of an alloy steel, IMechE, London (1956), pp. 138-149

[4] A. Deperrois, Sur le calcul des limites d'éndurance des aciers, Thèse de Doctorat, École Polytechnique, Paris, 1991

[5] B. Li; J.L. Santos; M. Freitas A unified numerical approach for multiaxial fatigue limit evaluation, Mech. Structures Mach., Volume 28 (2000), pp. 85-103

[6] T. Nishihara; M. Kawamoto The strength of metals under combined alternating bending and torsion with phase difference, Mem. College Engrg., vol. 11, Kyoto Imperial University, 1945, pp. 85-112

[7] R. Heidenreich, H. Zenner, I. Richter, Dauerschwingfestigkeit bei mehrachsiger Beanspruchungi, Forschungshefte FKM, Heft 105, 1983

[8] C. Froustey; S. Lassere Multiaxial fatigue endurance of 30NCD16 steel, Int. J. Fatigue, Volume 11 (1889), pp. 169-175

[9] E.N. Mamiya; J.A. Araújo Fatigue limit under multiaxial loadings: on the definition of the equivalent shear stress, Mech. Res. Comm., Volume 29 (2002), pp. 141-151

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