Plasticity and damage heterogeneity in fatigue

Theoretical and Applied Fracture Mechanics

Volumn 49, Issue 1, 2008, Pages 98-127

  Morel, F ^a   Huyen, N ^a  

^a Arts et Metiers ParisTech   (France)

Author keywords

High cycle fatigue; Microcrack; Multiaxial loading; Probability

Indexed keywords

AXIAL LOADS; CRACK INITIATION; FATIGUE TESTING; MATHEMATICAL MODELS; PLASTICITY; PROBABILITY; STRESS CONCENTRATION; TORSIONAL STRESS;

ELASTIC SHAKEDOWN CONCEPT; HIGH CYCLE FATIGUE; MULTIAXIAL LOADING;

FRACTURE MECHANICS;

AXIAL LOADS; CRACK INITIATION; FATIGUE TESTING; FRACTURE MECHANICS; MATHEMATICAL MODELS; PLASTICITY; PROBABILITY; STRESS CONCENTRATION; TORSIONAL STRESS;

EID: 37649023271     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tafmec.2007.10.006     Document Type: Article

References (43)

1. Miller K.J. The behaviour of short fatigue cracks and their initiation: part I - a review of two recent books. Fatigue and Fracture of Engineering Materials and Structures 10 (1987) 75-91
2. Miller K.J. The behaviour of short fatigue cracks and their initiation: part II - a general summary. Fatigue and Fracture of Engineering Materials and Structures 10 (1987) 93-113
3. Miller K.J. Metal fatigue - past, current and future. The John Player Lecture Proceedings of the Institution of Mechanical Engineers (1991) 291-304
4. Miller K.J. Materials science perspective of metal fatigue resistance. Materials Science and Technology 9 (1993) 453-462
5. K. Tanaka, Modeling of propagation and non-propagation of small fatigue cracks, in: R.O. Ritchie, J. Lankford (Eds.), The Metallurgical Society of the American Institute of Mining, Metallurgical and Petroleum Engineers, Warrendale, USA, 1987, pp. 343-361.
6. Dang Van K. Macro-micro approach in high-cycle multiaxial fatigue. In: McDowell D.L., and Ellis R. (Eds). Advances in Multiaxial Fatigue. ASTM STP vol. 1191 (1993), American Society for Testing and Materials, Philadelphia 120-130
7. I.V. Papadopoulos, Fatigue limit of metals under multiaxial stress conditions: the microscopic approach, Commission of the European Communities, Joint Research Center, 1993.
8. I.V. Papadopoulos, Fatigue limit of metals under synchronous sinusoidal in-phase and out-of-phase multiaxial stress conditions: application of the microscopic approach, Commission of the European Communities, Joint Research Center, 1993.
9. Papadopoulos I.V. A new criterion of fatigue strength for out-of-phase bending and torsion of hard metals. Fatigue 16 (1994) 377-384
10. Papadopoulos I.V. A high-cycle fatigue criterion applied in biaxial and triaxial out-of-phase stress conditions. Fatigue and Fracture of Engineering Materials and Structures 18 (1995) 79-91
11. Papadopoulos I.V., Davoli P., Gorla C., Filippini M., and Bernasconi A. A comparative study of multiaxial high-cycle fatigue criteria for metals. International Journal of Fatigue 19 (1997) 219-235
12. Morel F. A critical plane fatigue model applied to out-of-phase bending and torsion load conditions. Fatigue and Fracture of Engineering Materials and Structures 24 (2001) 153-164
13. Morel F. A fatigue life prediction method based on a mesoscopic approach in constant amplitude multiaxial loading. Fatigue and Fracture of Engineering Materials and Structures 21 (1998) 241-256
14. L. Flacelière, Contribution à la modélisation du dommage en fatigue multiaxiale d'un acier C36 - Confrontation à l'expérience, PhD Thesis, University of Poitier, 2004.
15. De Los Rios E.R., and Mohamed H.J. A micro-mechanics analysis for short fatigue crack growth. Fatigue and Fracture of Engineering Materials and Structures 8 (1985) 49-63
16. De Los Rios E.R., Tang Z., and Miller K.J. Short crack fatigue behaviour in a medium carbon steel. Fatigue and Fracture of Engineering Materials and Structures 7 (1984) 97-108
17. Goto M. Scatter characteristics of fatigue life and the behaviour of small cracks. Fatigue and Fracture of Engineering Materials and Structures 15 (1992) 953-963
18. Goto M. Scatter in small crack propagation and fatigue behaviour in carbon steels. Fatigue and Fracture of Engineering Materials and Structures 16 (1993) 795-809
19. Doquet V. A first stage in the development of micromechanical simulations of the crystallographic propagation of fatigue cracks under multiaxial loading. Fatigue and Fracture of Engineering Materials and Structures 21 (1998) 661-672
20. Doquet V. Micromechanical simulations of microstructure-sensitive Stage I fatigue crack growth. Fatigue and Fracture of Engineering Materials and Structures 22 (1999) 215-223
21. Bertolino G., Doquet V., and Sauzay M. Modelling of the catter in short fatigue cracks growth kinetics in relation with the polycristalline microstructure. International Journal of Fatigue 27 (2005) 471-480
22. Doquet V. Crack initiation mechanisms in torsional fatigue. Fatigue and Fracture of Engineering Materials and Structures 20 (1997) 227-235
23. McDowell D.L. Basic issues in the mechanics of high cycle metal fatigue. International Journal of Fracture 80 (1996) 103-145
24. Socie D.F. Critical plane approches for multiaxial fatigue damage assessment. In: McDowell D.L., and Ellis R. (Eds). Advances in Multiaxial Fatigue. ASTM STP vol. 1191 (1993), American Society for Testing and Materials, Philadelphia 7-36
25. Cano F., Constantinescu A., and Maiturman M.H. Critère de fatigue polycyclique pour les matériaux anisotropes: application aux monocristaux. Comptes-Rendus de Mécanique 332 (2004) 115-121
26. M. Sauzay, T. Jourdan, Dispersion des champs mécaniques locaux et de la germination des fissures de fatigue à grand nombre de cycles, 17ème Congrès Français de Mécanique, Troyes, France, 2005.
27. M. Sauzay, T. Jourdan, Elasticité cristalline et influence des grains voisins sur les champs locaux, 17ème Congrès Français de Mécanique, Troyes, France, 2005.
28. M. Mineur, Conditions locales d'amorçage des fissures de fatigue dans un acier inoxydable de type 316L: aspects cristallographiques (EBSD), PhD Thesis, University of Poitiers, 2000.
29. Weibull W. The phenomenon of rupture in solids. Proc. Roy. Swed. Inst. Engng. Res. (Ing Akad Handl) (1939) 3-55
30. Weibull W. A statistical theory of the strength of materials. Proc. Roy. Swed. Acad. Eng. Sci. (1939) 1-45
31. Weibull W. A statistical distribution function of wide applicability. Journal of Applied Mechanics 18 (1951) 293-297
32. C. Doudard, Détermination rapide des propriétés en FGNC à partir d'essais d'échauffement, PhD Thesis, Ecole Normale Supérieure de Cachan, 2004.
33. Flacelière L., and Morel F. Probabilistic approach in multiaxial high cycle fatigue: volume and surface effects. Fatigue and Fracture of Engineering Materials and Structures 27 (2004) 1123-1135
34. Bendat J.S., and Piersol A.G. Random Data: Analysis and Measurement Procedures (1971), Wiley-Interscience, New York
35. Morel F., and Palin-Luc T. A non-local theory applied to high cycle multiaxial fatigue. Fatigue and Fracture of Engineering Materials and Structures 25 (2002) 649-665
36. Seweryn A., and Mroz Z. On the criterion of damage evolution for variable multiaxial stress states. International Journal of Solids and Structures 35 (1998) 1589-1616
37. Bazant Z.P. Probability distribution of energetic-statistical size effect in quasibrittle fracture. Probabilistic Engineering Mechanics 19 (2004) 307-319
38. I.V. Papadopoulos, V.P. Panoskaltsis, Gradient dependent multiaxial high-cycle fatigue criterion, in: Fourth International Conference on Biaxial/Multiaxial Fatigue, France, vol. 1, 1994, pp. 461-476.
39. Laird C. The fatigue limits of metals. Materials Science and Engineering 22 (1976) 231-236
40. Pilvin P. Une approche simplifiée pour schématiser l'effet de surface sur le comportement mécanique d'un polycristal. Journal de Physique IV 8 (1998) 33-38
41. A. Deperrois, Sur le calcul de limites d'endurance des aciers, PhD Thesis, Ecole Polytechnique Paris, 1991.
42. M. Sauzay, Effets de surface et d'anisotropie en fatigue multiaxiale, PhD Thesis, Université Paris 6, 2000.
43. Sauzay M., and Gilormini P. Surface and cyclic microplasticity. Fatigue and Fracture of Engineering Materials and Structures 23 (2000) 573-579