Abstract
In this article, cyclic hardening/softening behaviors of metallic materials are studied by using 40 alloys’ test results. In the analysis, two parameters are introduced: one parameter is new fracture ductility parameter; the other is cyclic hardening/softening factor. The new fracture ductility parameter expresses cyclic hardening/softening. According to the criterion, there are three critical values—2, 20, and 65.4%. When the new fracture ductility parameter is smaller than 2%, or ranges from 20% to 65.4%, the alloy behaves in a cyclic softening manner. However, when the new fracture ductility parameter ranges from 2% to 20%, or is greater than 65.4%, the alloy behaves in a cyclic hardening manner. The cyclic hardening/softening factor describes the degree of cyclic hardening/softening. If the cyclic hardening/softening factor is greater than 1, the material behaves in a cyclic hardening manner. But if the cyclic hardening/softening factor is smaller than 1, the material behaves in a cyclic softening manner. The more the cyclic hardening/softening factor deviates from 1, the greater the degree of hardening/softening. Compared with the traditional criteria, on the one hand, the present criterion has no indeterminate range, while on the other hand, the cyclic hardening/softening factor quantitatively describes the degree of cyclic hardening/softening. Therefore,the two parameters provide a more descriptive way to describe cyclic hardening/softening behaviors for metallic materials.
Similar content being viewed by others
References
S. Kocanda, Fatigue Failure of Metals, Sijthoff – Noordhoff, Alphen aan den Rijn, The Netherlands, 1978
Z. Xiulin, Mechanical Behaviors of Engineering Materials, Xi’an, Northwestern University Publishing House, in Chinese (2004)
N.E. Frost, K.J. Marsh, L.P. Pook, Metal Fatigue. Oxford, Clarendon Press, (1974)
Science and Technology Committee of Aeronautic Engineering Department, Handbook of Strain Fatigue Analysis, Science Publishing House, Beijing, China, 1987 (in Chinese)
H. Mingzhi, S. Deke, and J. Zhihao, Metal Mechanical Properties, Xi’an Jiao Tong University Publishing House, Xi’an, 1986 (in Chinese)
Z. Zhongping, Z. Wenzhen, Z. Zhongping, W. Weihua, C. Donglin, S. Qiang, (2004) New formula relating the yield stress-strain with the strength coefficient and the strain-hardening exponent. J. Mater. Eng. Perform., 13(4), 509–512
Z. Zhongping, L. Chunwang, S. Qiang, Q. Yanjiang, Z. Wenzhen, Formula relating the fracture strength and the fracture ductility. J. Mater. Eng. Perform. 15(5), 618–621 (2006)
Z. Zhongping, Z. Wenzhen, S. Qiang, L. Chunwang, Theoretical calculation of the strain-hardening exponent and the strength coefficient. J. Mater. Eng. Perform. 15(1), 19–22 (2006)
R.W. Hertzberg, Deformation and Fracture Mechanics of Engineering Materials, 3rd ed. (John Wiley and Sons, New York, 1989), pp. 490–502
M.R. Mitchell, Fundamentals of Modern Fatigue Analysis for Design. John Wiley and Sons, New York, 1989, pp. 385–437
C. Lijia, W. Zhongguang, Y. Ge, T. Jifeng, Investigation of high temperature low cycle fatigue properties of a casting nickel base super-alloy K417. Acta Metall. Sinica 35(11), 1144–1150 (1999), in Chinese
Z. Qingxiang, H. Guoqiu, C. Chengshu, A study on the low cycle fatigue characheteristics and micromechanism of a high strength steel. J. Northwestern Jiaotong Univ., 34(2), 190–195 (1999), in Chinese
X. Lin and G. Haicheng, The Low-Cycle Fatigue Behavior of Pure Zr at 300 K and 673 K, Proceedings of the 6th National Conference on Fatigue, August 1993, The Chinese Society of Theoretical and Applied Mechanics, Xiamen, China, 1993, p 69–73 (in Chinese)
C. Bathias, M. Gabra, and D. Aliaga, Low-Cycle Fatigue Damage Accumulation of Aluminum Alloys, Low-Cycle Fatigue and Life Prediction, ASTM STP 770, C. Amzallag, B.N. Leis, and P. Rabbe, Eds., American Society for Testing and Materials, 1982, p 23–44
L. E. Tucker, R. W. Landgraf, and W. R. Brose, Technical Report on Fatigue Properties, SAE, J1099, 1979
T. Endo and J.O. Dean Morrow, Cyclic stress-strain and fatigue behavior of representative aircraft metals. J. Mater. 4(1), 159–175, (1969)
Y. Keng, Z. Peilei, J. Chengyu, Low Cycle Fatigue Property of TA5 Titanium Alloy Welded Joint. Trans. China Weld. Inst. 26(10), 84–86 (2005)
Z. Qiongmin, X. Yunqi, and P. Jin, The Study of 60Si2Mn Low-Cycle Fatigue Characteristics, Proceedings of the 6th National Conference on Fatigue, August 1993, The Chinese Society of Theoretical and Applied Mechanics, Xiamen, China, 1993, p 58–60 (in Chinese)
R.W. Smith, Fatigue Behavior of Materials Under Strain Cycling in Low and Intermediate Life Range, NAST TN D-1574, 1963
W. Hongliang, Y. Xiaoguang, Y. Huichen, Constitutive modeling and parameter identification of mechanical behavior for GH4169 alloy at high temperature, Mater. Eng. 4,42–45, (2005), in Chinese
Y. Xiaohua, L. Nian, J. Zhihao, Fatigue Stability of Metal Materials. J. Mech. Strength, 19(4), 61–65, (1977), in Chinese
Y. Xianjie, An experimental study of low-cycle fatigue and cyclic stress ratcheting failure of 45 carbon steel. Acta Metall. Sinica, 40(8): 851–857 (2004), in Chinese
V. Grubisic and C.M. Sonsino, Influence of Local Strain Distribution on Low-Cycle Fatigue Behavior of Thick-Walled Structures, Low-Cycle Fatigue and Life Prediction, ASTM STP 770, C. Amzallag, B.N. Leis, and P. Rabbe, Eds., American Society for Testing and Materials, 1982, p 612–629
P. Zelin, Y. Kun, L. Zongde, M. Xueping, and A. Jiangying, An Experimental Study on Fatigue Behavior and Life Prediction Model of Coupling Bolt for the Steam Turbine, Proc. CSEE, 2002, 22(7), p 90–94 (in Chinese)
S. Deguang, W. Dejun, Z. Zhige. Experimental study on multiaxial cyclic behavior for medium carbon steel. J. Mech. Strength, 21(1), 51–53 (1999), in Chinese
F. Zhichao, J. Jialing. Investigation of low cycle fatigue behaviour of 16MnR steel at Elevated temperature. J. Zhejiang Univ. 38(9), 1190–1195 (2004), in Chinese
A. Pellissier-Tanon, J.L. Bernard, C. Amzallag, and P. Rabbe, Evaluation of the Resistance of Type 316 Stainless Steel Against Progressive Deformation, Low-Cycle Fatigue and Life Prediction, ASTM STP 770, C. Amzallag, B.N. Leis, and P. Rabbe, Eds., American Society for Testing and Materials, 1982, p 69–80
S. Xiping, G. Haicheng, The twining behavior during tension and fatigue at low temperature in commercial pure titanium. Chin. J. Mater. Res., 14(1), 194–199 (2000), in Chinese
A. Moguerou, R. Vassal, G. Vessiere, and J. Bahuaud, Low-Cycle Fatigue Under Biaxial Strain, Low-Cycle Fatigue and Life Prediction, ASTM STP 770, C. Amzallag, B.N. Leis, and P. Rabbe, Eds., American Society for Testing and Materials, 1982, p 519–546
R. W. Landgraf, J. D. Morrow and T. Endo, Determination of the cyclic stress-strain curve. J. Mater., 4(1), 176–188 (1969)
Acknowledgments
The authors gratefully acknowledge the financial support of both Shaanxi province Nature Science Foundation and Air Force Engineering University Academic Foundation.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhang, Z., Li, J., Sun, Q. et al. Two Parameters Describing Cyclic Hardening/Softening Behaviors of Metallic Materials. J. of Materi Eng and Perform 18, 237–244 (2009). https://doi.org/10.1007/s11665-008-9287-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11665-008-9287-4