Abstract

Although fatigue limits of smooth specimens under various complex loadings have been determined, few models have been proposed to predict well-known experimental results such as size effects and stress gradient effects. This paper addresses the stress gradient effect issue. A new non local multiaxial fatigue approach is proposed and applied to rotating bending and fretting experiments. The proposal takes as a starting point the rotating bending results and stress gradient analysis of a cylinder-plane contact in partial slip sliding regime. Both weight function and “process volume,” used to compute the mean value of the weight function, are introduced in a phenomenological way. The weight function reflects the experimental trend of fatigue limit under rotating bending whereas the connected process volume allows dealing with special stress gradient induced by cylinder-plane contact under partial slip. The proposal shows good capabilities to predict four-point rotating bending fatigue limit and crack initiation of a similar Inconel 718 cylinder/plane contact under partial slip regime.

References

1.
Papadopoulos
,
I. V.
, “
A New Criterion of Fatigue Strength for Out-of-Phase Bending and Torsion of Hard Metals
,”
Fatigue
, Vol.
16
,
1994
, pp.
337
384
. https://doi.org/10.1016/0142-1123(94)90272-0
2.
Papadopoulos
,
I. V.
, “
A High-Cycle Fatigue Criterion Applied in Biaxial and Triaxial Out-of-Phase Stress Conditions
,”
Fatigue Fract. Eng. Mater. Struct.
 8756-758X, Vol.
18
,
1995
, pp.
79
91
. https://doi.org/10.1111/j.1460-2695.1995.tb00143.x
3.
Morel
,
F.
,
Palin-Luc
,
T.
, and
Froutey
,
C.
, “
Comparative Study and Link Between Mesoscopic and Energetic Approaches in High Cycle Multiaxial Fatigue
,”
Int. J. Fatigue
 0142-1123, Vol.
23
,
2001
, pp.
317
327
. https://doi.org/10.1016/S0142-1123(00)00100-6
4.
Pogoretskii
,
R. G.
and
Karpenko
,
G. V.
, “
Effect of Test Piece Length on the Fatigue Limit of Steel in Air
,”
Fiziko-Khimicheskaya Mekhanika Materialov
, Vol.
1
,
1965
, pp.
90
94
.
5.
Pavan
,
A.
,
1979
, “
Contribution to the Computation of the Fatigue Limits of Mechanical Components. Explanation of Main Reasons
,” Ph.D thesis,
Université de Reims
, Reims, France (in French).
6.
Papadopoulos
,
I. V.
, “
Invariant Formulation of a Gradient Dependant Multiaxial High-Cycle Fatigue Criterion
,”
Eng. Fract. Mech.
 0013-7944, Vol.
55
,
1996
, pp.
513
528
. https://doi.org/10.1016/S0013-7944(96)00047-1
7.
Morel
,
F.
,
Morel
,
A.
, and
Nadot
,
Y.
, “
Comparison Between Defects and Micro-Notches in Multiaxial Fatigue—The Size Effect and the Gradient Effect
,”
Int. J. Fatigue
 0142-1123, Vol.
31
,
2009
, pp.
263
275
. https://doi.org/10.1016/j.ijfatigue.2008.09.005
8.
Fouvry
,
S.
,
Kapsa
,
P.
,
Sidoroff
,
F.
, and
Vincent
,
L.
, “
Identification of the Characteristic Length Scale for Fatigue Cracking in Fretting Contacts
,”
J Phys IV France
, Vol.
8
,
1998
, pp.
159
166
. https://doi.org/10.1051/jp4:1998820
9.
Proudhon
,
H.
,
Fouvry
,
S.
, and
Yantio
,
G. R.
, “
Determination and Prediction of the Fretting Crack Initiation: Introduction of the (P,Q,N) Representation and Definition of a Variable Process Volume
,”
Int. J. Fatigue
 0142-1123, Vol.
28
,
2006
, pp.
707
713
. https://doi.org/10.1016/j.ijfatigue.2005.09.005
10.
Taylor
,
D.
, “
The Theory of Critical Distances
,”
Eng. Fract. Mech.
 0013-7944, Vol.
75
,
2008
, pp.
1696
1705
. https://doi.org/10.1016/j.engfracmech.2007.04.007
11.
Susmel
,
L.
, “
The Theory of Critical Distances: A Review of Its Applications in Fatigue
,”
Eng. Fract. Mech.
 0013-7944, Vol.
75
,
2008
, pp.
1706
1724
. https://doi.org/10.1016/j.engfracmech.2006.12.004
12.
Flavenot
,
J.-F.
and
Skalli
,
N.
, “
The Critical Layer Thickness or a New Approach for Fatigue Computation of Structures Under Multiaxial
,”
Revue Mécanique Matériaux Electricité
, Vol.
397
,
1993
, pp.
15
25
(in French).
13.
Qylafku
,
G.
,
Azari
,
Z.
,
Kadi
,
N.
,
Gjonaj
,
M.
, and
Pluvinage
,
G.
, “
Application of a New Model Proposal for Fatigue Life Prediction on Notches and Key-Seats
,”
Int. J. Fatigue
 0142-1123, Vol.
21
,
1999
, pp.
753
760
. https://doi.org/10.1016/S0142-1123(99)00046-8
14.
Morel
,
F.
and
Palin-Luc
,
T.
, “
A Non-Local Theory Applied to High Cycle Multiaxial Fatigue
,”
Fatigue Fract. Eng. Mater. Struct.
 8756-758X, Vol.
25
,
2002
, pp.
649
665
. https://doi.org/10.1046/j.1460-2695.2002.00527.x
15.
Schwob
,
C.
,
2007
, “
Non Local Probability Approach for the Fatigue Analysis of Areas Under Stress Gradients
,” Ph.D thesis,
Université Paul Sabatier (Toulouse France) (in French)
.
16.
Fouvry
,
S.
,
Kapsa
,
P.
, and
Vincent
,
L.
, “
Quantification of Fretting Damage
,”
Wear
 0043-1648, Vol.
200
,
1996
, pp.
186
205
. https://doi.org/10.1016/S0043-1648(96)07306-1
17.
USA Department of Defense, Federal Aviation Agency (FAA),
MIL-Handbook-5J: Metallic Materials and Elements for Aerospace Vehicle Structures
, FAA,
2003
.
18.
Proudhon
,
H.
,
Fouvry
,
S.
, and
Buffière
,
J.-Y.
, “
A Fretting Crack Initiation Prediction Taking into Account the Surface Roughness and the Crack Nucleation Process Volume
,”
Int. J. Fatigue
 0142-1123, Vol.
27
,
2005
, pp.
569
579
. https://doi.org/10.1016/j.ijfatigue.2004.09.001
19.
Mindlin
,
R. D.
and
Deresiewicz
,
H.
, “
Elastic Spheres in Contact Under Varying Oblique Forces
,”
ASME Trans. J. Appl. Mech.
 0021-8936, Vol.
20
,
1953
, pp.
327
344
.
20.
Cattaneo
,
C.
, “
Get in Contact of Two Elastic Bodies: Local Distribution of Loads
,”
Rend. Accad. Naz. Lincei
 0392-7881, Vol.
6
,
1938
, pp. 343–348, 434–436, 474–478.
21.
Johnson
,
K. L.
,
Contact Mechanics
,
Cambridge University Press
,
Cambridge
,
1985
.
22.
Papadopoulos
,
I. V.
, “
Long Life Fatigue Under Multiaxial Loading
,”
Int. J. Fatigue
 0142-1123, Vol.
23
,
2001
, pp.
839
849
. https://doi.org/10.1016/S0142-1123(01)00059-7
23.
Bertolino
,
G.
,
Constantinescu
,
A.
,
Ferjani
,
M.
, and
Treiber
,
P.
, “
A Multiscale Approach of Fatigue and Shakedown for Notched Structures
,”
Theor. Appl. Fract. Mech.
, Vol.
48
,
2007
, pp.
141
151
.
This content is only available via PDF.
You do not currently have access to this content.