Abstract

The aim of this paper is to provide a novel stochastic life prediction approach capable of predicting the total fatigue life of applied uniaxial stress states from a reduced dataset reliably and efficiently. A previously developed strain energy-based fatigue life prediction method is integrated with the stochastic state space approach for prediction of total cycles to failure. The approach under consideration for this study is the Monte Carlo method (MCM) where input is randomly generated to approximate the output of highly complex systems. The strain energy fatigue life prediction method is used to first approximate SN behavior from a set of two SN data points. This process is repeated with another unique set of SN data points to evaluate and approximate distribution of cycles to failure at a given stress amplitude. Uniform, normal, log-normal, and Weibull distributions are investigated. From the MCM, fatigue data are sampled from the approximated distribution and an SN curve is generated to predict high cycle fatigue (HCF) behavior from low cycle fatigue (LCF) data.

References

1.
Trunkey
,
D.
,
Keating
,
E.
, and
Mosher
,
D.
,
2018
, “
Operating Costs of Aging Air Force Aircraft
,” Congress of the United States Congressional Budget Office.
2.
Bell
,
D.
,
Fallat
,
J.
,
Sterley
,
F.
, and
Alsuhibani
,
E.
,
2017
, “
The Future of Additive Manufacturing in the U.S. Military
,” Air Command and Staff College, Air University Maxwell AFB.
3.
Mani
,
M.
,
Lane
,
B.
,
Donmez
,
A.
,
Feng
,
S.
,
Moylan
,
S.
, and
Fesperman
,
R.
,
2015
,
Measurement Science Needs for Real-Time Control of Additive Manufacturing Powder Bed Fusion Processes
,
National Institute of Standards and Technology
,
Gaithersburg, MD
, Report No. NISTIR 8036.
4.
Jasper
,
T. M.
,
1923
, “
The Value of the Energy Relation in the Testing of Ferrous Metals at Varying Ranges of Stress and at Intermediate and High Temperatures
,”
London, Edinburgh Dublin Philos. Mag. J. Sci.
,
46
(
274
), pp.
609
627
.10.1080/14786442308634287
5.
Enomoto
,
N.
,
1955
, “
On Fatigue Tests Under Progressive Stress
,”
Am. Soc. Test. Mater.
,
55
, pp.
903
917
.
6.
Feltner
,
C. E.
, and
Morrow
,
J. D.
,
1961
, “
Microplastic Strain Hysteresis Energy as a Criterion for Fatigue Fracture
,”
ASME J. Basic Eng.
,
83
(
1
), pp.
15
22
.10.1115/1.3658884
7.
Stowell
,
E. Z.
,
1969
, “
Theory of Metal Fatigue at Elevated Temperatures
,”
Nucl. Eng. Des.
,
9
(
2
), pp.
239
257
.10.1016/0029-5493(69)90061-2
8.
Scott-Emuakpor
,
O.
,
Shen
,
M.-H. H.
,
George
,
T.
,
Cross
,
C. J.
, and
Calcaterra
,
J.
,
2004
, “
Deveolpment of an Improved High Cycle Fatigue Criterion
,”
ASME J. Eng. Gas Turbines Power
,
129
(
1
), pp.
162
169
.10.1115/1.2360599
9.
Scott-Emuakpor
,
O.
,
George
,
T.
,
Cross
,
C.
,
Wertz
,
J.
, and
Shen
,
M.-H. H.
,
2010
, “
Validation of a Multi-Axial Fatigue Life Prediction Using Maximum Shear Experimental Results
,”
ASME
Paper No. GT2010-22547.10.1115/GT2010-22547
10.
Holycross
,
C.
,
2016
, “
A Multiscale Analysis and Extension of an Energy Based Fatigue Life Prediction Method for High Low and Combined Cycle Fatigue
,” Dissertation, The Ohio State University, Colombus, OH.
11.
Celli
,
D.
,
Shen
,
M.
,
George
,
T.
,
Scott-Emuakpor
,
O.
, and
Holycross
,
C.
,
2017
, “
Development of a Fatigue Damage and Lifing Assessment Method for Inconel 625 and Aluminum 6061-T6
,”
ASME
Paper No. GT2017–63775. 10.1115/GT2017-63775
12.
Naderi
,
M.
, and
Khonsari
,
M.
,
2010
, “
An Experimental Approach to Low-Cycle Fatigue Damage Based on Thermodynamic Entropy
,”
Int. J. Solids Struct.
,
47
(
6
), pp.
875
880
.10.1016/j.ijsolstr.2009.12.005
13.
Annis
,
C.
,
1999
, “
HCF, g-Functions, and Probabilistic Engineering Analays—A Checkist for Probabilsts
,”
Fourth National Turbine Engine High Cycle Fatigue Conferenc
e.
14.
Dieter
,
G.
,
1986
,
Mechanical Metallurgy
,
McGraw-Hill
,
London
.
15.
Shen
,
M.
, and
Akanda
,
S.
,
2016
, “
A Modified Closed Form Energy-Based Framework for Fatigue Life Assessment for Aluminum 6061-T6: Strain Range Approach
,”
Int. J. Damage Mech.
,
25
(
5
), pp.
661
880
.10.1177/1056789516635726
16.
Fishman
,
G.
,
1998
,
Monte Carlo: Concepts, Algorithms, and Applications
,
Springer
,
New York
.
17.
Scott-Emuakpor
,
O.
,
George
,
T.
,
Holycross
,
C.
,
Brown
,
J.
, and
Beck
,
J.
,
2016
, “
Fatigue Behavior Comparison Between Ultrasonic and Servohydraulic Axial Testing Procedures
,”
ASME
. Paper No. GT2016-56387. 10.1115/GT2016-56387
You do not currently have access to this content.