A new reliability technique for strain-based fatigue life design is developed in this paper. An empirical mean stress modified strain-life equation is used as performance function, in which: material property parameters, as fatigue strength coefficient and fatigue ductility coefficient; and mean stress and applied strain are taken as random variables. A major feature of this work is that, in the performance function, the terms involving material property parameters are combined into one generalized random variable as “capacity,” and the terms involving mean stress and applied strain are combined into another generalized random variable as “demand.” The limit state is then analyzed by using the interference technique to evaluate the reliability under a specified life. Another significant feature is that in order to meet the need of fatigue life design application, for a given cyclic strain history, a numerical method is developed to inversely search the life when certain reliability is specified. Two numerical cases are presented to demonstrate the method. [S0094-9930(00)01202-6]

Issue Section:
Technical Papers
Keywords:
fatigue, strain measurement, reliability, reliability theory, pressure vessels, design engineering
Topics:
Fatigue, Reliability, Stress, Fatigue strength, Ductility
1.
Lambert
,
R. G.
,
1976
, “
Analysis of Fatigue Under Random Vibration
,”
Shock. Vibr. Bull.
,
pp.
55
–
71
.
2.
Baldwin
,
J. D.
, and
Thacker
,
J. G.
,
1995
, “
A Strain-Based Fatigue Reliability Analysis Method
,”
ASME J. Mech. Des.
,
117
, pp.
229
–
234
.
3.
Wu
,
Y. T.
, and
Wirsching
,
P. H.
,
1984
, “
Advanced Reliability Method for Fatigue Analysis
,”
J. Eng. Mech. ASCE
,
110
, No.
4
, pp.
536
–
553
.
4.
Wirsching
,
P. H.
,
Torng
,
T. Y.
, and
Martin
,
W. S.
,
1991
, “
Advanced Fatigue Reliability Analysis
,”
Int. J. Fatigue
,
13
, No.
5
, pp.
389
–
394
.
5.
Jia
,
Y.
,
Wang
,
Y.
,
Shen
,
G.
, and
Jia
,
Z.
,
1993
, “
Equivalent Fatigue Load in Machine-Tool Probabilistic Reliability—Part I: Theoretical Basis
,”
Int. J. Fatigue
,
15
, No.
6
, pp.
474
–
477
.
6.
Tang
,
J.
, and
Zhao
,
J.
,
1995
, “
A Practical Approach for Predicting Fatigue Reliability Under Random Cycle Loading
,”
Reliability Eng. Syst. Safety
,
50
, No.
1
, pp.
7
–
15
.
7.
Zhao
,
J.
,
Tang
,
J.
, and
Wu
,
H. C.
,
1996
, “
A Reliability Assessment Method In Strain-Based Fatigue Life Analysis
,”
ASME J. Pressure Vessel Technol.
,
120
,
1
, pp.
99
–
104
.
8.
Avakov, V. A., 1991, “Fatigue Reliability Functions in Semilogarthmic Coordinates,” Reliability, Stress Analysis, and Failure Prevention, ASME, pp. 55–60.
9.
Murty
,
A. S. R.
,
Gupta
,
U. C.
, and
Krishna
,
A. R.
,
1995
, “
A New Approach to Fatigue Strength Distribution for Fatigue Reliability Evaluation
,”
Int. J. Fatigue
,
17
, No.
2
, pp.
85
–
89
.
10.
Freudenthal
,
A. M.
, and
Gumbel
,
E. J.
,
1953
, “
On the Statistical Interpretation of Fatigue Tests
,”
Proc. R. Soc. London, Ser. A
,
216
, p.
309
309
.
11.
Freudenthal, A. M., and Gumbel, E. J., 1956, “Physical and Statistical Aspects of Fatigue,” H. L. Dryden and T. Karman, eds, Advances in Applied Mechanics, Vol. IV, Academic Press, New York, NY, pp. 117–158.
12.
Bannantine, J. A., Comer, J. J., and Handroch, 1990, Fundamentals of Metal Fatigue Analysis, Prentice Hall, Englewood Cliffs, NJ.
13.
Shigley, J. E., and Mischke, C. R., 1989, Mechanical Engineering Design, Fifth Edition, McGraw-Hill Book Co., New York, NY.
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