On the Behaviour of 316 and 304 Stainless Steel under Multiaxial Fatigue Loading: Application of the Critical Plane Approach
Abstract
:1. Introduction
2. Materials and Methods
3. Critical Plane Models
3.1. Fatemi–Socie model (FS)
3.2. Smith–Watson–Topper Model (SWT)
3.3. Sandip–Kallmeyer–Smith Model (SKS)
3.4. Fitted Models
4. Results and Discussion
5. Conclusions and Future Works
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
- Brown, M.W.; Miller, K.J. A theory for fatigue failure under multiaxial stress-strain conditions. Proc. Inst. Mech. Eng. 1973, 187, 745–755. [Google Scholar] [CrossRef]
- Metcalfe, R.G.; Costanzi, R. Fatigue cracking of dragline boom support strands. Eng. Fail. Anal. 2019, 99, 46–68. [Google Scholar] [CrossRef]
- Gledić, I.; Parunov, J.; Prebeg, P.; Ćorak, M. Low-cycle fatigue of ship hull damaged in collision. Eng. Fail. Anal. 2019, 96, 436–454. [Google Scholar]
- Mamiya, E.N.; Castro, F.C.; Ferreira, G.V.; Nunes Filho, E.L.S.A.; Canut, F.A.; Neves, R.S.; Malcher, L. Fatigue of mooring chain links subjected to out-of-plane bending: Experiments and modeling. Eng. Fail. Anal. 2019, 100, 206–213. [Google Scholar] [CrossRef]
- Chen, X.; Xu, S.; Huang, D. Critical plane-strain energy density criterion for multiaxial low-cycle fatigue life under non-proportional loading. Fatigue Fract. Eng. Mater. Struct. 1999, 22, 679–686. [Google Scholar] [CrossRef]
- Chu, C. Multiaxial fatigue life prediction method in the ground vehicle industry. Int. J. Fatigue 1997, 19, 325–330. [Google Scholar] [CrossRef]
- Sharifimehr, S.; Fatemi, A. Fatigue analysis of ductile and brittle behaving steels under variable amplitude multiaxial loading. Fatigue Fract. Eng. Mater. Struct. 2019, 42, 1722–1742. [Google Scholar] [CrossRef]
- Llavori, I.; Etxeberria, U.; Lopez, A.; Ulacia, I.; Ugarte, D.; Esnaola, J.; Larrañaga, M. A numerical analysis of multiaxial fatigue in a butt weld specimen considering residual stresses. In Proceedings of the 12th International Fatigue Congress (FATIGUE 2018), Poitiers, Futuroscope, France, 27 May 2018; Volume 165, p. 21005. [Google Scholar]
- Erickson, M.; Kallmeyer, A.R.; Van Stone, R.H.; Kurath, P. Development of a multiaxial fatigue damage model for high strength alloys using a critical plane methodology. J. Eng. Mater. Technol. 2008, 130, 0410081–0410089. [Google Scholar] [CrossRef]
- Socie, D.F.; Marquis, G.B. Multiaxial Fatigue, 1st ed.; Society of Automotive Engineers Inc.: Warrendale, PA, USA, 2000. [Google Scholar]
- Ten-Hoeve, H.; De-Koning, A. Reference Manual of the Strip-Yield Module in NASGRO or ESACRACK Software for the Prediction of Retarded Crack Growth and Residual Strength in Metal Materials; Report No. TR 97012; National Aerospace Laboratory: Amsterdam, The Netherlands, 1977. [Google Scholar]
- Moreno, B.; Martin, A.; Lopez-Crespo, P.; Zapatero, J.; Dominguez, J. Estimations of fatigue life and variability under random loading in aluminum Al-2024T351 using strip yield models from NASGRO. Int. J. Fatigue 2016, 91, 414–422. [Google Scholar] [CrossRef]
- Li, B.; Reis, L.; de Freitas, M. Comparative study of multiaxial fatigue damage models for ductile structural steels and brittle materials. Int. J. Fatigue 2009, 31, 1895–1906. [Google Scholar] [CrossRef]
- Reis, L.; Freitas, M.J. Crack initiation and growth path under multiaxial fatigue loading in structural steels. Int. J. Fatigue 2009, 31, 1660–1668. [Google Scholar] [CrossRef]
- Anes, V.; Reis, L.; Li, B.; Freitas, M. Crack path evaluation on HC and BCC microstructures under multiaxial cyclic loading. Int. J. Fatigue 2014, 58, 102–113. [Google Scholar] [CrossRef]
- Karolczuk, A.; Macha, E. A review of critical plane orientations in multiaxial fatigue failure criteria of metallic materials. Int. J. Fract. 2005, 134, 267–304. [Google Scholar] [CrossRef]
- Fatemi, A.; Socie, D.F. A Critical Plane Approach to Multiaxial Fatigue Damage Including out-of-Phase Loading. Fatigue Fract. Eng. Mater. Struct. 1988, 11, 149–165. [Google Scholar] [CrossRef]
- Smith, K.; Topper, T.H.; Watson, P. A stress-strain function for the fatigue of metals (Stress-strain function for metal fatigue including mean stress effect). J. Mater. 1970, 5, 767–778. [Google Scholar]
- Jin, D.; Tian, D.J.; Li, J.H.; Sakane, M. Low-cycle fatigue of 316 L stainless steel under proportional and nonproportional loadings. Fatigue Fract. Eng. Mater. Struct. 2016, 39, 850–858. [Google Scholar] [CrossRef]
- Anes, V.; Reis, L.; Li, B.; De Freitas, M. New cycle counting method for multiaxial fatigue. Int. J. Fatigue 2014, 67, 78–94. [Google Scholar] [CrossRef]
- Suman, S.; Kallmeyer, A.; Smith, J. Development of a multiaxial fatigue damage parameter and life prediction methodology for non-proportional loading. Frattura ed Integrità Strutturale 2016, 10, 224–230. [Google Scholar] [CrossRef]
- Cruces, A.S.; Lopez-Crespo, P.; Moreno, B.; Antunes, F.V. Multiaxial Fatigue Life Prediction on S355 Structural and Offshore Steel Using the SKS Critical Plane Model. Metals 2018, 8, 1060. [Google Scholar] [CrossRef]
- Socie, D. Multiaxial Fatigue Damage Models. J. Eng. Mater. Technol. 1987, 10, 293–298. [Google Scholar] [CrossRef]
- Ohnami, M.; Hamada, N. Crack Propagation Behavior of Biaxial Low-Cycle Fatigue at Elevated Temperatures (Effects of the Cyclic Principal Stressing in Parallel with the Fatigue Crack and the Rotation of the Principal Stress Axes). J. Soc. Mater. Sci. Japan 1981, 30, 822–828. [Google Scholar] [CrossRef]
- Morishita, T.; Takada, Y.; Ogawa, F.; Hiyoshi, N.; Itoh, T. Multiaxial fatigue properties of stainless steel under seven loading paths consisting of cyclic inner pressure and push-pull loading. Theor. Appl. Fract. Mech. 2018, 96, 387–397. [Google Scholar] [CrossRef]
- Itoh, T.; Yang, T. Material dependence of multiaxial low cycle fatigue lives under non-proportional loading. Int. J. Fatigue 2011, 33, 1025–1031. [Google Scholar] [CrossRef] [Green Version]
- Cruces, A.S.; Lopez-Crespo, P.; Bressan, S.; Itoh, T. Investigation of the multiaxial fatigue behaviour of 316 stainless steel based on critical plane method. Fatigue Fract. Eng. Mater. Struct. 2019, 42, 1633–1645. [Google Scholar] [CrossRef]
- Itoh, T.; Sakane, M.; Ohnami, M.; Socie, D.F. Nonproportional low-cycle fatigue criterion for type 304 stainless steel. J. Eng. Mater. Technol. ASME 1995, 117, 285–292. [Google Scholar] [CrossRef]
- Matsuishi, M.; Endo, T. Fatigue of metals subjected to varying stress. Japan Soc. Mech. Eng. 1968, 68, 37–40. [Google Scholar]
- Papadopoulos, I. A comparative study of multiaxial high-cycle fatigue criteria for metals. Int. J. Fatigue 1997, 19, 219–235. [Google Scholar] [CrossRef]
- Miner, M. Cumulative damage in fatigue. J. Appl. Mech. 1945, 12, 159–164. [Google Scholar]
- Findley, W.N. A theory for the effect of mean stress on fatigue of metals under combined torsion and axial load or bending. J. Eng. Ind. Trans. ASME 1959, 81, 301–306. [Google Scholar] [CrossRef]
- McDiarmid, D.L. A Shear Stress Based Critical-Plane Criterion of Multiaxial Fatigue Failure for Design and Life Prediction. Fatigue Fract. Eng. Mater. Struct. 1994, 17, 1475–1485. [Google Scholar] [CrossRef]
- Sines, G. Failure of Materials Under Combined Repeated Stresses with Superimposed Static Stresses; TN3495; NACA: Washington DC, USA, 1955. [Google Scholar]
- Ince, A.; Glinka, G. A modification of Morrow and Smith-Watson-Topper mean stress correction models. Fatigue Fract. Eng. Mater. Struct. 2011, 34, 854–867. [Google Scholar] [CrossRef]
- Liu, Y.; Mahadevan, S. Multiaxial high-cycle fatigue criterion and life prediction for metals. Int. J. Fatigue 2005, 27, 790–800. [Google Scholar] [CrossRef]
- Liu, K.C.; Wang, J.A. An energy method for predicting fatigue life, crack orientation, and crack growth under multiaxial loading conditions. Int. J. Fatigue 2001, 23, 129–134. [Google Scholar] [CrossRef]
- Ellison, E.G.; Andrews, J.M.H. Biaxial cyclic high-strain fatigue of aluminum alloy RR58. J. Strain Anal. Eng. Des. 1973, 8, 209–219. [Google Scholar] [CrossRef]
- Ellyin, F.; Gołoś, K.; Xia, Z. In phase and out–of–phase multiaxial fatigue. Trans. ASME 1991, 113, 112–118. [Google Scholar] [CrossRef]
- Lopez-Crespo, P.; Moreno, B.; Lopez-Moreno, A.; Zapatero, J. Study of crack orientation and fatigue life prediction in biaxial fatigue with critical plane models. Eng. Fract. Mech. 2015, 136, 115–130. [Google Scholar] [CrossRef]
Path | ID | εa | γa | σa | τa | Nf |
---|---|---|---|---|---|---|
P | 1 | 0.0025 | - | 225.5 | - | 25,100 |
2 | 0.0035 | - | 252.5 | - | 8750 | |
3 | 0.005 | - | 278 | - | 4220 | |
4 | 0.0075 | - | 326 | - | 2200 | |
NP | 1 | 0.0015 | 0.0026 | 219.5 | 138.5 | 32,400 |
2 | 0.0025 | 0.0043 | 344.5 | 219.5 | 4780 | |
3 | 0.0035 | 0.0061 | 412.5 | 238.5 | 3660 | |
4 | 0.0050 | 0.0087 | 474 | 299.5 | 1360 | |
5 | 0.0075 | 0.0130 | 615 | 388 | 410 |
Path | ID | εa | γa | σa | τa | Nf |
---|---|---|---|---|---|---|
P | 1 | 0.0025 | - | 265 | - | 49,000 |
2 | 0.0033 | - | 290 | - | 23,400 | |
3 | 0.004 | - | 315 | - | 7100 | |
4 | 0.005 | - | 365 | - | 1500 | |
NP | 1 | 0.002 | 0.0035 | 300 | 168 | 50,000 |
2 | 0.002 | 0.0035 | 307 | 176 | 45,000 | |
3 | 0.0035 | 0.0061 | 457 | 256 | 3730 | |
4 | 0.0035 | 0.0061 | 477 | 267 | 3560 |
Path | Δσz | Δσθ | Δεz | Δεθ | Nf |
---|---|---|---|---|---|
1 | 445.15 | 1.8277 | 0.0022 | 0.0007 | 159,600 |
2 | 2.3931 | 450.32 | 0.0016 | 0.0055 | 29,300 |
2 | 1.8885 | 420.25 | 0.0013 | 0.0037 | 24,800 |
2 | 1.6815 | 366.46 | 0.0005 | 0.0033 | 53,000 |
3 | 1,024.3 | 1.7169 | 0.0406 | 0.0059 | 208 |
3 | 884.49 | 1.4092 | 0.0245 | 0.0042 | 393 |
4 | 399.2 | 424.1 | 0.0006 | 0.0051 | 3560 |
4 | 373.95 | 413.12 | 0.0033 | 0.0036 | 8400 |
5 | 6.5677 | 346.09 | 0.0023 | 0.0058 | 14,486 |
5 | 400.92 | 393.85 | 0.0057 | 0.0016 | 5300 |
5 | 376.34 | 383.25 | 0.0023 | 0.0045 | 14,486 |
6 | 399.76 | 450.21 | 0.0016 | 0.0048 | 25,770 |
6 | 442.64 | 511.01 | 0.0018 | 0.0049 | 13,542 |
6 | 375.8 | 335.22 | 0.0022 | 0.0027 | 31,400 |
7 | 389.49 | 465.73 | 0.0019 | 0.0019 | 24,700 |
Path | Δεz | Δγθz | Δσz | Δτθz | Nf |
---|---|---|---|---|---|
1 | 0.0113 | 0 | 730 | 730 | 1700 |
1 | 0.012 | 0 | 805 | 805 | 690 |
1 | 0.015 | 0 | 825 | 825 | 540 |
2 | 0.005 | 0.0087 | 685 | 685 | 9500 |
2 | 0.008 | 0.0139 | 950 | 950 | 1400 |
3 | 0.005 | 0.0087 | 670 | 670 | 20,000 |
3 | 0.008 | 0.0139 | 860 | 860 | 2100 |
4 | 0.005 | 0.0087 | 670 | 670 | 2400 |
4 | 0.008 | 0.0139 | 975 | 975 | 820 |
5 | 0.005 | 0.0087 | 790 | 790 | 3400 |
5 | 0.008 | 0.0139 | 1010 | 1010 | 900 |
6 | 0.005 | 0.0087 | 485 | 485 | 17,500 |
6 | 0.008 | 0.0139 | 590 | 590 | 3200 |
7 | 0.005 | 0.0087 | 500 | 500 | 9700 |
7 | 0.008 | 0.0139 | 670 | 670 | 2600 |
8 | 0.005 | 0.0087 | 530 | 530 | 18,000 |
8 | 0.008 | 0.0139 | 735 | 735 | 1700 |
9 | 0.005 | 0.0087 | 760 | 760 | 2050 |
9 | 0.008 | 0.0139 | 1055 | 1055 | 470 |
10 | 0.005 | 0.0087 | 780 | 780 | 2950 |
10 | 0.008 | 0.0139 | 1075 | 1075 | 660 |
11 | 0.005 | 0.0087 | 765 | 765 | 2600 |
11 | 0.008 | 0.0139 | 1060 | 1060 | 320 |
12 | 0.005 | 0.0087 | 570 | 570 | 14,400 |
12 | 0.008 | 0.0139 | 850 | 850 | 1200 |
13 | 0.005 | 0.0087 | 660 | 660 | 4750 |
14 | 0.008 | 0.0139 | 940 | 940 | 710 |
14 | 0.005 | 0.0087 | 655 | 655 | 3200 |
0.008 | 0.0139 | 965 | 965 | 1000 |
Statistical Values | FS | SWT | SKS |
---|---|---|---|
316 stainless steel | - | - | - |
Mean value | 0.0091 | 0.0308 | 0.0022 |
Standard deviation | 0.0130 | 0.0370 | 0.0014 |
304 stainless steel | - | - | - |
Mean value | 0.0020 | 0.0069 | 0.0016 |
Standard deviation | 0.0026 | 0.0065 | 0.0019 |
Statistical Values | FS | SWT | SKS |
---|---|---|---|
316 stainless steel | - | - | - |
Mean value | 0.0763 | −0.2490 | −0.0836 |
Standard deviation | 0.2432 | 0.2945 | 0.2315 |
304 stainless steel | - | - | - |
Mean value | −0.0299 | 0.0291 | −0.0595 |
Standard deviation | 0.2919 | 0.2339 | 0.2681 |
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Cruces, A.S.; Lopez-Crespo, P.; Bressan, S.; Itoh, T.; Moreno, B. On the Behaviour of 316 and 304 Stainless Steel under Multiaxial Fatigue Loading: Application of the Critical Plane Approach. Metals 2019, 9, 978. https://doi.org/10.3390/met9090978
Cruces AS, Lopez-Crespo P, Bressan S, Itoh T, Moreno B. On the Behaviour of 316 and 304 Stainless Steel under Multiaxial Fatigue Loading: Application of the Critical Plane Approach. Metals. 2019; 9(9):978. https://doi.org/10.3390/met9090978
Chicago/Turabian StyleCruces, Alejandro S., Pablo Lopez-Crespo, Stefano Bressan, Takamoto Itoh, and Belen Moreno. 2019. "On the Behaviour of 316 and 304 Stainless Steel under Multiaxial Fatigue Loading: Application of the Critical Plane Approach" Metals 9, no. 9: 978. https://doi.org/10.3390/met9090978