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Quantitative Assessment and Analysis of Non-Masing Behavior of Materials under Fatigue

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Abstract

Quantitative assessment of non-Masing behavior is studied, and a new method is proposed for the estimation of cyclic plastic strain energy density and fatigue life. Low cycle fatigue tests were performed on 304L stainless steel employing strain amplitudes ranging from ±0.25% to ±1.0% at a strain rate of 3 × 10-3 s-1. The material exhibited Masing behavior at lower strain amplitudes and non-Masing behavior at higher strain amplitudes. Secondary hardening was observed at relatively higher strain amplitudes. Both the secondary hardening and non-Masing response were found to be associated with the deformation induced martensitic transformation. The master curve approach, which is generally used for the analysis of non-Masing response, could not be used as experimental data could not be represented in the form of a master curve. The proposed method of quantification of non-Masing response could estimate the cyclic plastic strain energy density of 304L stainless steel well within a scatter band of 1.2. The fatigue life of 304L stainless steel could also be predicted within a scatter band of 2. The proposed approach could also estimate the cyclic plastic strain energy density and fatigue life of materials of different grades within scatter factors of 1.2 and 2, respectively.

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Abbreviations

CPSED:

Cyclic plastic strain energy density [ML-1T-2]

DOIH:

Degree of initial hardening [M0L0T0]

DOS:

Degree of softening [M0L0T0]

DOSH:

Degree of secondary hardening [M0L0T0]

\(E_{exp}\) :

Cyclic plastic strain energy density of experimental hysteresis loop without any regard to the Masing or non-Masing behavior [ML-1T-2]

\(E_{f}\) :

Normalized cyclic plastic strain energy density difference [M0L0T0]

\(E_{m}\) :

Cyclic plastic strain energy density for Masing behavior [ML-1T-2]

\(E_{nm,exp}\) :

Experimental cyclic plastic strain energy density for non-Masing behavior [ML-1T-2]

\(E_{nm,pre}\) :

Predicted cyclic plastic strain energy density for non-Masing behavior [ML-1T-2]

\(K\) :

Cyclic strength coefficient for ideal Masing behavior [ML-1T-2]

\(K_{1}\) :

Material constant, the coefficient obtained from Eq. 11 [ML-1T-2]

\(n\) :

Cyclic strength exponent for ideal Masing behavior [M0L0T0]

\(n_{1}\) :

Material constant, the exponent obtained from Eq. 11 [M0L0T0]

\(n^{\prime}\) :

Cyclic hardening exponent of Master curve for non-Masing behavior [M0L0T0]

\(N_{f,exp}\) :

Experimental fatigue life of the material [M0L0T0]

\(N_{f,pre}\) :

Predicted fatigue life of the material [M0L0T0]

\(S_{1}\), \(S_{2}\) :

Material constants, obtained from Eq. 4. [M0L0T0]

\(S_{3}\), \(S_{4}\) :

Material constants, obtained from Eq. 9. [M0L0T0]

\(\Delta E\) :

Extra cyclic plastic strain energy density due to non-Masing behavior [ML-1T-2]

\(\Delta \varepsilon_{p}\) :

Plastic strain range [M0L0T0]

\(\Delta \varepsilon_{t}\) :

Total strain range [M0L0T0]

\(\delta \sigma_{0}\) :

Change in proportional limit due to non-Masing behavior [ML-1T-2]

\(\varepsilon_{t}\) :

Total strain amplitude [M0L0T0

References

  1. S.K. Manwatkar, K.S. Kuhite, S.V.S. Narayana Murty, and P. Ramesh Narayanan, Metallurgical Analysis of Failed AISI 304L Stainless Steel Tubes Used in Launch Vehicle Applications, Metallogr. Microstruct. Anal., Springer US, 2015, 4(6), p 497–507.

  2. D.T. Pierce, J.A. Jiménez, J. Bentley, D. Raabe and J.E. Wittig, The Influence of Stacking Fault Energy on the Microstructural and Strain-Hardening Evolution of Fe–Mn–Al–Si Steels during Tensile Deformation, Acta Mater., 2015, 100, p 178–190. https://doi.org/10.1016/j.actamat.2015.08.030

    Article  CAS  Google Scholar 

  3. M. Bayerlein, H.-J. Christ, and H. Mughrabi, Plasticity-Induced Martensitic Transformation during Cyclic Deformation of AISI 304L Stainless Steel, Mater. Sci. Eng. A, 1989, 114(C), p L11–L16, doi:https://doi.org/10.1016/0921-5093(89)90871-X.

  4. H. Mughrabi and H.-J. Christ, Fatigue, Cyclic Deformation and Microstructure. Cyclic Deformation and Fatigue of Selected Ferritic and Austenitic Steels: Specific Aspects., ISIJ Int., 1997, 37(12), p 1154–1169, doi:https://doi.org/10.2355/isijinternational.37.1154.

  5. S. Goyal, S. Mandal, P. Parameswaran, R. Sandhya, C.N. Athreya, and K. Laha, A Comparative Assessment of Fatigue Deformation Behavior of 316 LN SS at Ambient and High Temperature, Mater. Sci. Eng. A, Elsevier B.V., 2017, 696, p 407–415, doi:https://doi.org/10.1016/j.msea.2017.04.102.

  6. J.W. Pegues, S. Shao, N. Shamsaei, J.A. Schneider and R.D. Moser, Cyclic Strain Rate Effect on Martensitic Transformation and Fatigue Behaviour of an Austenitic Stainless Steel, Fatigue Fract. Eng. Mater. Struct., 2017, 40(12), p 2080–2091. https://doi.org/10.1111/ffe.12627

    Article  CAS  Google Scholar 

  7. R. Dey, S. Tarafder and S. Sivaprasad, Influence of Phase Transformation Due to Temperature on Cyclic Plastic Deformation in 304LN Stainless Steel, Int. J. Fatigue, 2016, 90(September), p 148–157. https://doi.org/10.1016/j.ijfatigue.2016.04.030

    Article  CAS  Google Scholar 

  8. R. Kreethi, P. Sampark, G.K. Majhi, and K. Dutta, Martensitic Transformation During Compressive Deformation of a Non-Conventional Stainless Steel and Its Quantitative Assessment, J. Mater. Eng. Perform., Springer US, 2015, 24(11), p 4219–4223, doi:https://doi.org/10.1007/s11665-015-1724-6.

  9. R. Dey, S. Tarafder, H. Bar, and S. Sivaprasad, Correlating Effect of Temperature on Cyclic Plastic Deformation Behavior with Substructural Developments for Austenitic Stainless Steel, J. Mater. Eng. Perform., Springer US, 2020, 29(1), p 480–496, doi:https://doi.org/10.1007/s11665-020-04569-4.

  10. A. Plumtree and H.A. Abdel-Raouf, Cyclic Stress-Strain Response and Substructure, Int. J. Fatigue, 2001, 23(9), p 799–805. https://doi.org/10.1016/S0142-1123(01)00037-8

    Article  CAS  Google Scholar 

  11. S.C. Roy, S. Goyal, R. Sandhya, and S.K. Ray, Analysis of Hysteresis Loops of 316L(N) Stainless Steel under Low Cycle Fatigue Loading Conditions, Procedia Eng., Procedia Engineering, 2013, 55, p 165–170.

  12. H.J. Christ and H. Mughrabi, Cyclic Stress-Strain Response and Microstructure under Variable Amplitude Loading, Fatigue Fract. Eng. Mater. Struct., 1996, 19(2–3), p 335–348.

    Article  CAS  Google Scholar 

  13. Y. Li and C. Laird, Masing Behavior Observed in Monocrystalline Copper during Cyclic Deformation, Mater. Sci. Eng. A, 1993, 161(1), p 23–29. https://doi.org/10.1016/0921-5093(93)90471-P

    Article  Google Scholar 

  14. L.P. Borrego, L.M. Abreu, J.M. Costa, and J.M. Ferreira, Analysis of Low Cycle Fatigue in AlMgSi Aluminium Alloys, Eng. Fail. Anal., Engineering failure analysis, 2004, 11(5), p 715–725, doi:https://doi.org/10.1016/j.engfailanal.2003.09.003.

  15. S. Nandy, A.P. Sekhar, T. Kar, K.K. Ray, and D. Das, Influence of Ageing on the Low Cycle Fatigue Behaviour of an Al–Mg–Si Alloy, Philos. Mag., Taylor & Francis, 2017, 97(23), p 1978–2003, doi:https://doi.org/10.1080/14786435.2017.1322729.

  16. A. Fatemi and L. Yang, Cumulative Fatigue Damage and Life Prediction Theories: A Survey of the State of the Art for Homogeneous Materials, Int. J. Fatigue, 1998, 20(1), p 9–34. https://doi.org/10.1016/S0142-1123(97)00081-9

    Article  CAS  Google Scholar 

  17. F. Ellyin and D. Kujawski, Plastic Strain Energy in Fatigue Failure, J. Press. Vessel Technol., 1984, 106(4), p 342–347. https://doi.org/10.1115/1.3264362

    Article  Google Scholar 

  18. S. Goyal, J. Veerababu, G. V. Prasad Reddy, R. Sandhya, and K. Laha, Assessment of Fatigue Response of Thermally Aged Reduced Activation Ferritic-Martensitic Steel Based on Finite Element Analysis, Mater. High Temp., 2016, 33(2), p 170–178, doi:https://doi.org/10.1179/1878641315Y.0000000020.

  19. H. Jhansale and T. Topper, Engineering Analysis of the Inelastic Stress Response of a Structural Metal Under Variable Cyclic Strains, Cyclic Stress-Strain Behavior—Analysis, Experimentation, and Failure Prediction, L. Coffin and E. Krempl, Eds., (West Conshohocken, PA), ASTM International, 1973, p 246–270, doi:https://doi.org/10.1520/STP38034S.

  20. J. Talonen, P. Aspegren and H. Hänninen, Comparison of Different Methods for Measuring Strain Induced α-Martensite Content in Austenitic Steels, Mater. Sci. Technol., 2004, 20(12), p 1506–1512. https://doi.org/10.1179/026708304X4367

    Article  Google Scholar 

  21. W. Wei, L. Han, H. Wang, J. Wang, J. Zhang, Y. Feng, and T. Tian, Low-Cycle Fatigue Behavior and Fracture Mechanism of HS80H Steel at Different Strain Amplitudes and Mean Strains, J. Mater. Eng. Perform., Springer US, 2017, 26(4), p 1717–1725, doi:https://doi.org/10.1007/s11665-017-2575-0.

  22. S. Ganesh Sundara Raman and K.A. Padmanabhan, Influence of Martensite Formation and Grain Size on Room Temperature Low Cycle Fatigue Behaviour of AISI 304LN Austenitic Stainless Steel, Mater. Sci. Technol., 1994, 10(7), p 614–620, doi:https://doi.org/10.1179/mst.1994.10.7.614.

  23. K.B. Sankara Rao, M. Valsan, and S.L. Mannan, Strain-Controlled Low Cycle Fatigue Behaviour of Type 304 Stainless Steel Base Material, Type 308 Stainless Stell Weld Metal and 304–308 Stainless Steel Weldments, Mater. Sci. Eng. A, 1990, 130(1), p 67–82, doi:https://doi.org/10.1016/0921-5093(90)90082-E.

  24. A. Das, S. Sivaprasad, P.C. Chakraborti and S. Tarafder, Connection between Deformation-Induced Dislocation Substructures and Martensite Formation in Stainless Steel, Philos. Mag. Lett., 2011, 91(10), p 664–675. https://doi.org/10.1080/09500839.2011.608385

    Article  CAS  Google Scholar 

  25. A. Das, S. Tarafder, and P.C. Chakraborti, Estimation of Deformation Induced Martensite in Austenitic Stainless Steels, Mater. Sci. Eng. A, Elsevier B.V., 2011, 529(1), p 9–20, doi:https://doi.org/10.1016/j.msea.2011.08.039.

  26. A. Das, Cyclic Plasticity Induced Transformation of Austenitic Stainless Steels, Mater. Charact., Elsevier, 2019, 149(December 2018), p 1–25, doi:https://doi.org/10.1016/j.matchar.2018.12.002.

  27. S. Sivaprasad, S.K. Paul, A. Das, N. Narasaiah, and S. Tarafder, Cyclic Plastic Behaviour of Primary Heat Transport Piping Materials: Influence of Loading Schemes on Hysteresis Loop, Mater. Sci. Eng. A, Elsevier B.V., 2010, 527(26), p 6858–6869, doi:https://doi.org/10.1016/j.msea.2010.07.041.

  28. G.R. Halford, The Energy Required for Fatigue (Plastic Strain Hystersis Energy Required for Fatigue in Ferrous and Nonferrous Metals), J. Mater., 1966, 1, p 3–18.

    Google Scholar 

  29. W. Ramberg and W.R. Osgood, “Description of Stress-Strain Curves by Three Parameters,” NACA-TN-90, (Washington D.C.), National Advisory Committee for Aeronautics, 1943.

  30. N. Tak, J.-S. Kim, and J.-Y. Lim, An Energy-Based Unified Approach to Predict the Low-Cycle Fatigue Life of Type 316L Stainless Steel under Various Temperatures and Strain-Rates, Materials (Basel)., 2019, 12(7), p 1090, doi:https://doi.org/10.3390/ma12071090.

  31. K.-O. Lee, S.-G. Hong and S.-B. Lee, A New Energy-Based Fatigue Damage Parameter in Life Prediction of High-Temperature Structural Materials, Mater. Sci. Eng. A, 2008, 496(1–2), p 471–477. https://doi.org/10.1016/j.msea.2008.07.035

    Article  CAS  Google Scholar 

  32. J.K. Mahato, P.S. De, A. Kundu, and P.C. Chakraborti, Role of Stacking Fault Energy on Symmetric and Asymmetric Cyclic Deformation Behavior of FCC Metals, Structural Integrity Assessment, Lecture Notes in Mechanical Engineering, R.V. Prakash, R.S. Kumar, A. Nagesha, G. Sasikala, A.K. Bhaduri, Eds., Springer Singapore, 2020, p 691–702. https://doi.org/10.1007/978-981-13-8767-8_59

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Acknowledgment

The authors would like to acknowledge the Department of Science and Technology, Government of India for financial assistance [DST/INSPIRE/04/2016/001402]. Authors are thankful to Dr. A. K. Bhaduri, Centre Director, and A. Nagesha, head, fatigue studies section, Indira Gandhi Centre for Atomic Research, Kalpakkam, Tamil Nadu for allowing us to conduct experiments. A special thanks to Prof. Pravash Chandra Chakraborti from Jadavpur University for his support and motivation.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Ropar, Rupnagar, 140001, India

    Sanjeev Singh Yadav & Samir Chandra Roy

  2. Materials Development and Technology Division, Indira Gandhi Centre for Atomic Research, Kalpakkam, 603102, India

    J. Veerababu

  3. Nuclear Fuel Complex, Kota Project, Rawatbhata, 323303, India

    Sunil Goyal

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Yadav, S.S., Roy, S.C., Veerababu, J. et al. Quantitative Assessment and Analysis of Non-Masing Behavior of Materials under Fatigue. J. of Materi Eng and Perform 30, 2102–2112 (2021). https://doi.org/10.1007/s11665-021-05494-w

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