A Novel Energy-Critical Multiaxial Fatigue Life Prediction for Low Cycle Fatigue under Mixed-Mode Loading
Abstract
:1. Introduction
2. Multiaxial Fatigue Life Prediction Methods
3. Proposed Model
4. Experimental Validation and Discussion
5. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Nomenclature
Elastic Poisson’s ratio | |
Plastic Poisson’s ratio | |
, | Maximum shear stress on the corresponding critical plane |
Shear stress amplitude | |
Mean shear stress | |
Shear stress on the corresponding critical plane | |
Maximum normal stress on the corresponding critical plane | |
Normal stress on the corresponding critical plane | |
Normal stress amplitude | |
Mean normal stress | |
Maximum shear strain range on the corresponding critical plane | |
Shear strain range on the corresponding critical plane | |
Shear strain amplitude | |
Mean shear strain | |
Normal strain range on the corresponding critical plane | |
Normal strain amplitude | |
Mean normal strain | |
Maximum normal strain range on the corresponding critical plane | |
Fatigue strength coefficient | |
Fatigue ductility coefficient | |
b | Fatigue strength exponent |
c | Fatigue ductility exponent |
Shear fatigue strength coefficient | |
Shear fatigue strength exponent | |
Shear fatigue ductility coefficient | |
Shear fatigue ductility exponent | |
E | Young’s modulus |
G | Shear modulus |
Number of cycles to failure | |
Predicted life cycles | |
Experimental life cycles | |
s, k | Material parameter |
Mean normal stress | |
Yield strength | |
Cyclic strength coefficient | |
Cyclic strain hardening exponent | |
LCF | Low Cycle Fatigue |
FS | Fatemi-Socie |
SWT | Smith-Watson-Topper |
Re-SWT | Redefined SWT |
WB | Wang-Brown |
MSSRP | Maximum shear strain range plane |
MNSRP | Maximum normal strain range plane |
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Monotonic Properties | ||||||
GH4169 | 198.5 | 67 | 1083.1 | 0.48 | 1579.7 | 0.06 |
TC4 | 108.4 | 43.2 | 942.5 | 0.25 | 1054 | 0.0195 |
Uniaxial properties | b | c | ||||
GH4169 | 1815.5 | −0.06 | 0.45 | −0.63 | 1892.3 | 0.078 |
TC4 | 1116.9 | −0.049 | 0.579 | −0.679 | 1031 | 0.0478 |
Torsional properties | b1 | c1 | ||||
GH4169 | 1091.6 | −0.07 | 4.46 | −0.77 | 1047.1 | 0.099 |
TC4 | 716.9 | −0.06 | 2.24 | −0.8 | 446.7 | 0.016 |
(°)> | (cycle) | (°) | (cycle) | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
/ | 1.116 | / | 1220.4 | / | 735 | 0 | 0.77 | 1.175 | 857.1 | 463.3 | 1331 |
/ | 1.006 | / | 1230.8 | / | 982 | 0 | 0.703 | 1.017 | 794.6 | 422.6 | 2503 |
/ | 0.907 | / | 1204.5 | / | 1110 | 0 | 0.612 | 0.88 | 788.6 | 404 | 4200 |
/ | 0.905 | / | 1201.3 | / | 1220 | 0 | 0.476 | 0.732 | 779.4 | 436.3 | 10,456 |
/ | 0.811 | / | 1157.8 | / | 2892 | 0 | 0.342 | 0.622 | 666.9 | 418.6 | 18,027 |
/ | 0.707 | / | 1135.5 | / | 4316 | 45 | 1.066 | 1.4151 | 1086.6 | 559 | 542 |
/ | 0.611 | / | 1096.6 | / | 4882 | 45 | 0.807 | 1.126 | 996.6 | 494 | 1315 |
/ | 0.558 | / | 1055.2 | / | 14,345 | 45 | 0.521 | 0.965 | 796.3 | 519.2 | 3530 |
/ | / | 2.466 | / | 685.5 | 984 | 45 | 0.513 | 0.865 | 837.8 | 487.7 | 5764 |
/ | / | 2.108 | / | 682.9 | 978 | 45 | 0.423 | 0.714 | 790.3 | 454.9 | 13,086 |
/ | / | 1.656 | / | 646.3 | 3026 | 45 | 0.338 | 0.613 | 683.2 | 433.4 | 37,904 |
/ | / | 1.421 | / | 635.2 | 4359 | 90 | 1.069 | 1.3081 | 1199.5 | 659.3 | 520 |
/ | / | 1.145 | / | 581.7 | 5184 | 90 | 0.712 | 1.0231 | 1062.5 | 602 | 1496 |
/ | / | 0.984 | / | 595 | 9689 | 90 | 0.568 | 0.888 | 968.8 | 540.8 | 2102 |
/ | / | 0.877 | / | 559.2 | 12,256 | 90 | 0.492 | 0.827 | 951.1 | 554.7 | 3119 |
/ | / | 0.817 | / | 539.1 | 54,920 | 90 | 0.393 | 0.649 | 787.1 | 473.3 | 12,008 |
0 | 1.221 | 1.598 | 937.7 | 478 | 901 | 90 | 0.406 | 0.686 | 822.1 | 502.8 | 12,829 |
(°) | (%) | (cycle) | (°) | (%) | (cycle) | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|
/ | 0.55 | / | 610.2 | / | 60,048 | / | / | 1.302 | / | 431.2 | 2691 |
/ | 0.6 | / | 655.2 | / | 25,069 | / | / | 1.645 | / | 417.8 | 951 |
/ | 0.7 | / | 728.6 | / | 8457 | / | / | 1.942 | / | 413.5 | 459 |
/ | 0.8 | / | 738.9 | / | 4135 | / | / | 2.309 | / | 404.5 | 345 |
/ | 0.8 | / | 766.4 | / | 2544 | 0 | 0.345 | 0.648 | 388.8 | 278.5 | 47,195 |
/ | 0.9 | / | 772.5 | / | 1708 | 0 | 0.427 | 0.710 | 466.4 | 296.0 | 20,611 |
/ | 0.9 | / | 746.7 | / | 1730 | 0 | 0.576 | 0.938 | 490.6 | 282.8 | 4141 |
/ | 1.1 | / | 755.2 | / | 1007 | 0 | 0.687 | 1.111 | 532.1 | 312.7 | 1795 |
/ | 1.1 | / | 746.7 | / | 822 | 0 | 0.863 | 1.371 | 538.8 | 299.4 | 868 |
/ | 1.3 | / | 782.2 | / | 510 | 0 | 1.391 | 2.038 | 530.5 | 261.0 | 351 |
/ | 1.3 | / | 787.6 | / | 529 | 45 | 0.391 | 0.643 | 435.6 | 276.9 | 20,953 |
/ | 1.5 | / | 815.8 | / | 339 | 45 | 0.418 | 0.702 | 472.0 | 303.2 | 9478 |
/ | 1.7 | / | 819.2 | / | 221 | 45 | 0.496 | 0.831 | 545.2 | 342.6 | 4898 |
/ | 2.0 | / | 856.5 | / | 124 | 45 | 0.620 | 1.043 | 592.0 | 340.9 | 1563 |
/ | 2.0 | / | 861.6 | / | 134 | 45 | 0.772 | 1.255 | 629.0 | 341.3 | 683 |
/ | 2.3 | / | 869.3 | / | 89 | 45 | 1.224 | 1.756 | 679.8 | 353.8 | 185 |
/ | 2.3 | / | 861.7 | / | 127 | 90 | 0.349 | 0.639 | 392.8 | 279.6 | 45,138 |
/ | / | 0.798 | / | 345.6 | 69,269 | 90 | 0.418 | 0.704 | 475.7 | 307.8 | 37,273 |
/ | / | 0.833 | / | 359.8 | 51,146 | 90 | 0.499 | 0.821 | 562.6 | 356.4 | 11,152 |
/ | / | 0.848 | / | 374.6 | 37,449 | 90 | 0.556 | 0.934 | 623.6 | 401.2 | 2332 |
/ | / | 0.889 | / | 390.3 | 17,887 | 90 | 0.632 | 1.079 | 703.2 | 427.7 | 1017 |
/ | / | 1.038 | / | 398.1 | 7218 | 90 | 1.229 | 1.700 | 678.6 | 382.3 | 233 |
(°) | (cycle) | ||||||||
---|---|---|---|---|---|---|---|---|---|
0 | 0.382 | 0.714 | 0 | 1.17 | 395.4 | 288 | 0 | 138.1 | 19,750 |
0 | 0.556 | 0.889 | 0 | 1.495 | 503.1 | 301.9 | 0 | 106.9 | 5126 |
90 | 0.417 | 0.704 | 0 | 1.213 | 470.2 | 301.6 | 0 | 118.5 | 62,435 |
90 | 0.485 | 0.828 | 0 | 1.409 | 542.0 | 342.7 | 0 | 112.3 | 4772 |
0 | 0.438 | 0.719 | 0.754 | 0 | 444.1 | 285.7 | 268.9 | 0 | 5225 |
0 | 0.565 | 0.911 | 1.042 | 0 | 485.9 | 299.0 | 175.2 | 0 | 4422 |
90 | 0.420 | 0.698 | 0.428 | 0 | 458.3 | 299.3 | 25 8.4 | 0 | 6878 |
90 | 0.502 | 0.822 | 0.974 | 0 | 532.3 | 343.3 | 249.9 | 0 | 2394 |
0 | 0.466 | 0.726 | 0.978 | 1.386 | 443.5 | 273.8 | 128.2 | 41.4 | 8867 |
0 | 0.614 | 0.916 | 1.016 | 1.697 | 497.4 | 284.8 | 169.5 | 41.7 | 4364 |
90 | 0.423 | 0.705 | 0.826 | 1.253 | 456.9 | 293.0 | 242.8 | 108.0 | 5357 |
90 | 0.510 | 0.825 | 1.019 | 1.521 | 548.2 | 340.6 | 179.0 | 77.1 | 6035 |
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Zhou, J.; Huang, H.-Z.; Li, H. A Novel Energy-Critical Multiaxial Fatigue Life Prediction for Low Cycle Fatigue under Mixed-Mode Loading. Metals 2018, 8, 1066. https://doi.org/10.3390/met8121066
Zhou J, Huang H-Z, Li H. A Novel Energy-Critical Multiaxial Fatigue Life Prediction for Low Cycle Fatigue under Mixed-Mode Loading. Metals. 2018; 8(12):1066. https://doi.org/10.3390/met8121066
Chicago/Turabian StyleZhou, Jie, Hong-Zhong Huang, and He Li. 2018. "A Novel Energy-Critical Multiaxial Fatigue Life Prediction for Low Cycle Fatigue under Mixed-Mode Loading" Metals 8, no. 12: 1066. https://doi.org/10.3390/met8121066