The relationship of torque versus angle of rotation stabilizes after only a few cycles so that the alternating stress will become a constant as long as the maximum shear stress is less than the shear yield strength of the material. Using this information in Findley‘s fatigue criterion, it is demonstrated that the mean shear stress has very little influence on the fatigue limit of a notch-free ductile material under cyclic torsional loading.

1.
Gough
,
H. J.
, 1924,
The Fatigue of Metals
,
Scott, Greenwood, and Son
,
London
.
2.
Lea
,
F. C.
, and
Heywood
,
F.
, 1927, “
Failure of Some Steel Wire Under Repeated Torsion Stress at Various Mean Stresses Determined From Experiments on Helical Springs
,”
Institution of Mechanical Engineers (British)
, pp.
403
443
.
3.
Moore
,
H. F.
, and
Kommers
,
J. B.
, 1927,
The Fatigue of Metals
,
McGraw-Hill
,
New York
.
4.
Zimmerli
,
F. P.
, 1934, “
Permissible Stress Range for Small Helical Springs
,” Engineering Research Bulletin No. 26,
University of Michigan
, Ann Arbor.
5.
Hanley
,
B. C.
, 1941, “
The Effect of Range of Stress and State of Stress on the Fatigue Strength of SAE 4340 Steel
,” Master’s thesis, University of Illinois, Urbana.
6.
Smith
,
J. O.
, 1942, “
The Effect of Range of Stresss on Fatigue Strength of Metals
,” Experimentals Station Bulletin,
University of Illinois
, Seriers No. 334.
7.
McDiarmid
,
D. L.
, 1985, “
The Effect of Mean Stress and Stress Concentration on Fatigue Under Combined Bending and Twisting
,”
Fatigue Fract. Eng. Mater. Struct.
8756-758X,
8
(
1
), pp.
1
12
.
8.
Johnston
,
G. S.
, 1950, “
Fatigue Strength Under Combined Stress
,” Master’s thesis, Purdue University.
9.
Shigley
,
J. E.
, and
Mitchell
,
L. D.
, 1983,
Mechanical Engineering Design
, 4th ed.,
McGraw-Hill
,
New York
, Chap. 7.
10.
Zahavi
,
E.
, 1996,
Fatigue Design: Life Expectancy of Machine Parts
,
CRC Press
,
Boca Roton
, Chap. 3.
11.
Wang
,
C. H.
, and
Miller
,
K. J.
, 1991, “
The Effect of Mean Shear Stress on Torsional Fatigue Behavior
,”
Fatigue Fract. Eng. Mater. Struct.
8756-758X,
14
, pp.
293
307
.
12.
Caronell
,
E. P.
, and
Brown
,
M. W.
, 1986, “
A Study of Short Crack Growth in Torsional Low Cycle Fatigue for a Medium Carbon Steel
,”
Fatigue Fract. Eng. Mater. Struct.
8756-758X,
9
, pp.
15
33
.
13.
Findley
,
W. N.
, 1959, “
A Theory for the Effect of Mean Stress on Fatigue of Metals Under Combined Torsional and Axial Load or Bending
,”
ASME J. Eng. Ind.
0022-0817,
81
, pp.
301
306
.
14.
Nadai
,
A.
, 1950,
Theory of Flow and Fracture of Solids
,
McGraw-Hill
,
New York
.
15.
Brown
,
M. W.
, 1978, “
Torsional Stresses in Tubular Specimens
,”
J. Strain Anal.
0022-4758,
13
(
1
), pp.
23
28
.
16.
Little
,
R. E.
, 1969, “
A Note on the Shear Stress Criterion for Fatigue Failure Under Combined Stress
,”
Aeronaut. Q.
0001-9259,
20
, p.
57
.
17.
Brown
,
M. N.
, and
Miller
,
K. J.
, 1973, “
A Theory for Fatigue Failure Under Multiaxial Stress-Strain Condition
,”
Proc. Inst. Mech. Eng.
0020-3483,
187
, pp.
745
755
.
18.
Flavenot
,
J.
, and
Skilli
,
N.
, 1984, “
A Critical Depth Criterion for the Evaluation of Long-Life Fatigue Strength Under Multiaxial Loading Stress Gradient
,”
Proceedings of the 5th European Conference on Fatigue
,
ECF
,
Lisbon
, pp.
335
343
.
19.
Wang
,
S.-J.
, 1995, “
Fatigue of Ductile Materials Subjected to Non-Zero Mean Stresses
,” Ph.D. dissertation, Clemson University.
20.
Wang
,
S.-J.
, and
Dixon
,
M. W.
, 1997, “
A New Criterion for Positive Mean Fatigue Design
,”
ASME J. Mech. Des.
1050-0472,
119
, pp.
135
137
.
21.
Findley
,
W. N.
, 1954, “
Combined Stress Fatigue Strength of 76S-T6 Aluminum Alloy With Superimposed Mean Stress and Correcting for Yielding
,” NACA TN 2924.
You do not currently have access to this content.