Abstract

Many critical engineering components are routinely subjected to cyclic multiaxial stress states, which may include non-proportional loading and multidimensional mean stresses. Existing multiaxial fatigue models are examined to determine their suitability at estimating fatigue damage in Ti-6Al-4V under complex, multiaxial loading, with an emphasis on long-life conditions. Both proportional and non-proportional strain-controlled tension/torsion experiments were conducted on solid specimens. Several multiaxial fatigue damage parameters are evaluated based on their ability to correlate the biaxial fatigue data and uniaxial fatigue data with tensile mean stresses (R>−1) to a fully-reversed (R=−1) uniaxial baseline. Both equivalent stress-based models and critical plane approaches are evaluated. Only one equivalent stress model and two critical plane models showed promise for the range of loadings and material considered.

Issue Section:
Technical Papers
Keywords:
titanium alloys, aluminium alloys, vanadium alloys, fatigue, stress-strain relations, modelling
Topics:
Fatigue, Stress, Damage, Fatigue life
1.
Kanazawa
,
K.
,
Miller
,
K. J.
, and
Brown
,
M. W.
,
1979
, “
Cyclic Deformation of 1 percent Cr-Mo-V Steel under Out-of-Phase Loads
,”
Fatigue Fract. Eng. Mater. Struct.
,
2
, pp.
217
–
228
.
2.
Lamba
,
H. S.
, and
Sidebottom
,
O. M.
,
1978
, “
Cyclic Plasticity for Nonproportional Paths: Part I-Cyclic Hardening, Erasure of Memory, and Subsequent Strain Hardening Experiments
,”
ASME J. Eng. Mater. Technol.
,
100
, pp.
96
–
103
.
3.
McDowell, D. L., 1983, “On the Path Dependence of Transient Hardening and Softening to Stable States under Complex Biaxial Cyclic Hardening,” Proc. Int. Conf. Constitutive Laws for Eng. Mater.: Theory and Applications, Desai and Gallagher, eds., Tucson, AZ, p. 125.
4.
Garud
,
Y. S.
,
1981
, “
Multiaxial Fatigue: A Survey of the State of the Art
,”
J. Test. Eval.
,
9
, pp.
165
–
178
.
5.
You
,
B. R.
, and
Lee
,
S. B.
,
1996
, “
A Critical Review on Multiaxial Fatigue Assessments of Metals
,”
Int. J. Fatigue
,
18
, pp.
235
–
244
.
6.
Gallagher, J. P., et al., 2001, “Improved High Cycle Fatigue (HCF) Life Prediction,” University of Dayton Technical Report No. UDR-TR-1999-000079, Dayton, OH.
7.
Morrissey
,
R. J.
,
McDowell
,
D. L.
, and
Nicholas
,
T.
,
1999
, “
Frequency and Stress Ratio Effects in High Cycle Fatigue of Ti-6Al-4V
,”
Int. J. Fatigue
,
21
, pp.
679
–
685
.
8.
Sines
,
G.
, and
Ohgi
,
G.
,
1981
, “
Fatigue Criteria under Combined Stresses or Strains
,”
ASME J. Eng. Mater. Technol.
,
103
, pp.
82
–
90
.
9.
Garud
,
Y. S.
,
1981
, “
A New Approach to the Evaluation of Fatigue Under Multiaxial Loadings
,”
ASME J. Eng. Mater. Technol.
,
103
, pp.
118
–
125
.
10.
Socie, D., 1993, “Critical Plane Approaches for Multiaxial Fatigue Damage Assessment,” Advances in Multiaxial Fatigue, ASTM STP 1191, D. L. McDowell and R. Ellis, eds., American Society for Testing and Materials, Philadelphia, PA, pp. 7–36.
11.
Slavik, D., and Kurath, P., 2000, “Fatigue Crack Initiation Modeling in Ti-6Al-4V for Smooth and Notched Specimens under Complex Stress States,” Fifth National Turbine Engine HCF Conference, Chandler, AZ.
12.
Shigley, J. E., and Mischke, C. R., 1989, Mechanical Engineering Design, McGraw-Hill, New York.
13.
Manson, S. S., and Jung, K., 1994, “Progress in the Development of a Three-Dimensional Fatigue Theory Based on the Multiaxiality Factor,” Material Durability/Life Prediction Modeling: Materials for the 21st Century, American Society of Mechanical Engineers, Vol. 290, pp. 85–93.
14.
McKnight, R. L., and Slavik, D. C., 2000, General Electric Aircraft Engines, personal communication.
15.
Morrow, J., 1968, Fatigue Design Handbook, SAE AE-6, J. A. Graham, ed., Society of Automotive Engineers, pp. 17–58.
16.
Smith
,
R. N.
,
Watson
,
P.
, and
Topper
,
T. H.
,
1970
, “
A Stress-Strain Function for the Fatigue of Metals
,”
J. Mater.
,
5
, pp.
767
–
778
.
17.
Kandil, F. A., Brown, M. W., and Miller, K. J., 1982, “Biaxial Low-Cycle Fatigue Fracture of 316 Stainless Steel at Elevated Temperatures,” The Metals Society, London, 280, pp. 203–210.
18.
Findley
,
W. N.
,
1957
, “
Fatigue of Metals Under Combinations of Stresses
,”
Trans. ASME
,
79
, pp.
1337
–
1348
.
19.
McDiarmid
,
D. L.
,
1991
, “
A General Criterion for High Cycle Multiaxial Fatigue Failure
,”
Fatigue Fract. Eng. Mater. Struct.
,
14
, pp.
429
–
453
.
20.
Fatemi
,
A.
, and
Kurath
,
P.
,
1988
, “
Multiaxial Fatigue Life Predictions Under the Influence of Mean Stresses
,”
ASME J. Eng. Mater. Technol.
,
110
, pp.
380
–
388
.
21.
Chu, C. C., Conle, F. A., and Bonnen, J. J. F., 1993, “Multiaxial Stress-Strain Modeling and Fatigue Life Prediction of SAE Axle Shafts,” Advances in Multiaxial Fatigue, ASTM STP 1191, D. L. McDowell and R. Ellis, eds., American Society for Testing and Materials, Philadelphia, PA, pp. 37–54.
22.
Glinka
,
G.
,
Wang
,
G.
, and
Plumtree
,
A.
,
1995
, “
Mean Stress Effects in Multiaxial Fatigue
,”
Fatigue Fract. Eng. Mater. Struct.
,
18
, pp.
755
–
764
.
23.
Kurath
,
P.
, and
Jiang
,
Y.
,
1995
, “
Analysis of Residual Stresses and Cyclic Deformation for Induction Hardened Components
,” SAE Technical Paper Series No. 950707,
Journal of Materials and Manufacturing, SAE Transactions
, Society of Automotive Engineers, Warrendale, PA,
5
, pp.
603
–
617
.
24.
Forsyth, P. J. E., 1969, The Physical Basis of Metal Fatigue, American Elsevier Publishing Company, Inc., New York.
25.
Ritchie
,
R. O.
, and
Peters
,
J. O.
,
2001
, “
Small Fatigue Cracks: Mechanics, Mechanisms and Engineering Applications
,”
Materials Transactions
,
42
, pp.
58
–
67
.
Copyright © 2002
 by ASME
You do not currently have access to this content.