This paper discusses the mean strain effect on the crack initiation lives for notched specimens under biaxial nonproportional loading paths. Elastic-plastic finite element method was used to evaluate the local stresses and strains. Several prediction models related to the mean stress/strain effect were employed to correlate the experimental results with reference fatigue data for smooth specimens. It is found that Fatemi-Socie model gives good prediction for the present research with the assistance of finite element method. The stress behavior in this deflection-controlled tests is discussed in this study, and the failure surfaces are also examined after tests.
Issue Section:
Research Papers
1.
ANSYS User’s Manual, 1994, Theory, Vol. IV, Swanson Analysis System, Inc.
2.
Brown
M. W.
Miller
K. J.
1973
, “A Theory of Fatigue Under Multiaxial Stress-Strain Conditions
,” Proc. Institute of Mechanical Engineers
, Vol. 187
, pp. 745
–755
.3.
Brown
M. W.
Miller
K. J.
1979
, “High Temperature Low-Cycle Biaxial Fatigue of Two Steels
,” Fatigue of Engineering Materials and Structures
, Vol. 1
, pp. 217
–229
.4.
Chen
X.
Gao
Q.
Sun
X. F.
1994
, “Damage Analysis of Low-Cycle Fatigue Under Non-Proportional Loading
,” International Journal of Fatigue
, Vol. 16
, pp. 221
–225
.5.
Ellyin
F.
1985
, “Effect of Tensile-Mean-Strain on Plastic Strain Energy and Cycle Response
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 107
, pp. 119
–125
.6.
Fash, J. W., Socie, D. F., and McDowell, D. L., 1985, “Fatigue Life Estimates for a Simple Notched Component Under Biaxial Loading,” Multiaxial Fatigue, ASTM STP 853, K. J. Miller and M. W. Brown, eds., ASTM, Philadelphia, pp. 497–513.
7.
Fash, J. W., Hurd, N. J., Hua, C. T., and Socie, D. F., 1988, “Damage Development During Multiaxial Fatigue of Unnotched and Notched Specimens,” Low Cycle Fatigue, ASTM STP 942, H. D. Solomon, G. R. Halford, L. R. Kaisand, and B. N. Leis, eds., ASTM, Philadelphia, pp. 874–898.
8.
Fatemi
A.
Kurath
P.
1988
, “Multiaxial Fatigue life Predictions Under the Influence of Mean-Stresses
,” ASME Journal of Basic Engineering
, Vol. 110
, pp. 380
–388
.9.
Fatemi
A.
Socie
D. F.
1988
, “A Critical Approach to Multiaxial Fatigue Damage Including Out-of-Phase Loading
,” Fatigue & Fracture of Engineering Materials and Structures
, Vol. 3
, pp. 149
–1650
.10.
Fuchs, H. O., and Stephens, R. I., 1980, Metal Fatigue in Engineering, Wiley, New York.
11.
Garud
Y. S.
1981
, “Multiaxial Fatigue: A Survey of the State of the Art
,” Journal of Testing and Evaluation
, Vol. 9
, No. 3
, pp. 165
–178
.12.
Harvey, William J., 1989, “Biaxial Fatigue of the SAE Unnotched shaft Test Specimen,” Multiaxial Fatigue: Analysis and Experiments, SAE AE-14, pp. 107–120.
13.
Hill, R., 1983, The Mathematical Theory of Plasticity, Oxford Univ. Press, New York.
14.
Hoffmann, M., and Seeger, T., 1989, “Stress-Strain Analysis and Life Predictions of a Notched Shaft Under Multiaxial Loading,” Multiaxial Fatigue: Analysis and Experiments, SAE AE-14, pp. 81–100.
15.
Jacquelin, B., Hourlier, F., and Pineau A., 1985, “Crack Initiation Under Low-Cycle Multiaxial Fatigue,” Multiaxial Fatigue, ASTM STP 853, K. J. Miller and M. W. Brown, Eds., ASTM, Philadelphia, pp. 285–313.
16.
Lohr
R. D.
Ellison
E. G.
1980
, “A Simple Theory for Low-Cycle Multiaxial Fatigue
,” Fatigue & Fracture of Engineering Materials and Structures
, Vol. 3
, pp. 1
–17
.17.
Nadai, A., 1950, Theory of Flow and Fracture of Solids, 2nd ed., McGraw-Hill, New York.
18.
Ohji
K.
Miller
W. R.
Marin
J.
1966
, “Cumulative Damage and Effect of Mean Strain in Low-Cycle Fatigue of a 2024-T351 Aluminum Alloy
,” ASME Journal of Basic Engineering
, Vol. 88
, pp. 801
–810
.19.
Ohnami M., Asada Y., Sakane M., Kitagawa, M., and Sakon, T., 1988, “Notch Effect on Low Cycle Fatigue in Creep-Fatigue at High Temperatures: Experiment and Finite Element Method Analysis,” Low Cycle Fatigue, ASTM STP 942, H. D. Solomon, G. R. Halford, L. R. Kaisand, and B. N. Leis, eds., ASTM, Philadelphia, pp. 1066–1095.
20.
Peterson, R. E., 1974, Stress Concentration Factors, Wiley, New York.
21.
Ritchie, R. O., McClintock, F. A., Tschegg, E. K., and Nayeb-Hashemi, H., 1985, “Mode III Fatigue Crack Growth Under Combined Torsional and Axial Loading,” Multiaxial Fatigue, ASTM STP 853, K. J. Miller and M. W. Brown, eds., ASTM, Philadelphia, pp. 203–227.
22.
Sakane
M.
Ohnami
M.
1986
, “Notch Effect in Low-Cycle Fatigue at Elevated Temperature-Life Prediction from Crack Initiation and Propagation Considerations
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 108
, pp. 279
–284
.23.
Sakane
M.
Ohnami
M.
1988
, “Electrical Potential Drop and Notch Opening Displacement methods for Detecting High Temperature Low Cycle Fatigue Cracks of Circumferential Notched specimens
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 110
, pp. 247
–252
.24.
Sato
T.
Shimada
H.
1988
, “Evaluation of Fatigue Crack Initiation life from a notch
,” International Journal of Fatigue
, Vol. 10
, pp. 243
–247
.25.
Sharpe
William N.
1995
, “ASME 1993 Nadai Lecture-Elastoplastic Stress and Strain Concentrations
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 117
, pp. 1
–7
.26.
Simith
Watson
Topper
1970
, “A Stress-Strain Function for Fatigue of Metals
,” JMLSA
, Vol. 5
, pp. 767
–778
.27.
Socie
D. F.
Shield
T. W.
1984
, “Mean Stress Effects in Biaxial Fatigue of Inconel 718
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 106
, pp. 227
–232
.28.
Socie, D. F., Waill, L. A., and Dittmer, D. F., 1985, “Biaxial Fatigue of Inconel 718 Including Mean Stress Effects,” Multiaxial Fatigue, ASTM STP 853, K. J. Miller and M. W. Brown, eds., ASTM, Philadelphia, pp. 463–481.
29.
Socie
D. F.
1987
, “Multiaxial Fatigue Damage Models
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 109
, pp. 293
–298
.30.
Tipton, S. M., and Fash, J. W., 1989, “Multiaxial Fatigue Life Predictions for SAE Specimen Using Strain Based Approaches,” Multiaxial Fatigue: Analysis and Experiments, SAE AE-14, pp. 67–80.
31.
Tipton, S. M., and Nelson, D. V., 1989, “Multiaxial Fatigue Life Predictions for SAE Specimen Using Stress Based Approaches,” Multiaxial Fatigue: Analysis and Experiments, SAE AE-14, pp. 61–66.
32.
Umeda
H.
Sakane
M.
Ohnami
M.
1989
, “Notch Effect in Biaxial Low Cycle Fatigue at Elevated Temperature
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 111
, pp. 286
–293
.33.
Umeda
H.
Sakane
M.
Ohmani
M.
1990
, “Notch Root Displacement (NRD) Approach to Predict Crack Initiation Life of Notched Specimen in High-Temperature Multiaxial Low Cycle Fatigue
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 112
, pp. 429
–434
.34.
Valliappans
S.
Boonlaulohr
P.
Lee
I. K.
1976
, “Non-Linear Analysis for Anisotropic Materials
,” International Journal of Numerical Method in Engineering
, Vol. 10
, pp. 597
–606
.
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