Effects of Stress Ratio on the Fatigue Crack Growth Rate Under Steady State of Selective Laser Melted TC4 Alloy with Defects
QI Zhao1,2, WANG Bin2, ZHANG Peng2(), LIU Rui2, ZHANG Zhenjun2, ZHANG Zhefeng2()
1.Henan Institute of Advanced Technology, Zhengzhou University, Zhengzhou 450001, China 2.Shi -changxu Innovation Center for Advanced Materials, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
Cite this article:
QI Zhao, WANG Bin, ZHANG Peng, LIU Rui, ZHANG Zhenjun, ZHANG Zhefeng. Effects of Stress Ratio on the Fatigue Crack Growth Rate Under Steady State of Selective Laser Melted TC4 Alloy with Defects. Acta Metall Sin, 2023, 59(10): 1411-1418.
TC4 alloy components with complicated geometries can be directly fabricated using selective laser melting (SLM) at a low cost. These components are often used under complex service conditions. Thus, it is important to investigate the effects of the stress ratio (R) on the fatigue crack growth (FCG) rate (da / dN) in SLM TC4 alloys with defects at the steady state to develop guidelines for damage-tolerance design and fatigue life assessment. In this work, SLM TC4 alloys containing two different microdefects were used to qualitatively examine the effect of the defect size on the da / dN at the steady state. In addition, comparative studies using an alloy with smaller defect sizes were performed at the steady state and at R = 0.1, 0.3, and 0.5. The relationship between the da / dN and stress intensity factor range(ΔK)was plotted and analyzed by fitting the Paris formula. The results show that the Paris formula parameter, m, is constant and the parameter, C, increases, which means that the increase in the defect size increases the da / dN. The da / dN increases with an increase in R, and the da / dN curves converge at low ΔK, which are reflected in the increase in the parameter, m, and the decrease in the parameter C. Additionally, there is a linear relationship between m and lgC (the common logarithm of C), which is not affected by R. Finally, the change patterns in the da / dN caused by the microdefects and R were analyzed along with the fatigue damage mechanisms.
Fund: National Natural Science Foundation of China(52130002);National Natural Science Foundation of China(52321001);Youth Innovation Promotion Association of Chinese Academy of Sciences(2018226);Youth Innovation Promotion Association of Chinese Academy of Sciences(2021192);Innovation Fund of Institute of Metal Research, Chinese Academy of Sciences(2021-PY05);Innovation Fund of Institute of Metal Research, Chinese Academy of Sciences(2022-PY06)
Corresponding Authors:
ZHANG Peng, professor, Tel: (024)83978870, E-mail: pengzhang@imr.ac.cn; ZHANG Zhefeng, professor, Tel: (024)23971043, E-mail: zhfzhang@imr.ac.cn
Fig.1 Schematic of the geometry of the standard compact tension (CT) specimen (unit: mm)
Fig.2 OM images of selective laser melting (SLM) TC4 alloy (a) SD specimen (laser power is 300 W, scanning speed is 1200 mm/s) (b) LD specimen (laser power is 250 W, scanning speed is 1400 mm/s)
Specimen
σb / MPa
σs / MPa
δ / %
SD
1212 ± 5
1105 ± 2
8.5 ± 0.1
LD
1270 ± 1
1152 ± 7
9.6 ± 0.1
Table 1 Mechanical properties of SLM TC4 alloy
Fig.3 Relationships between da / dN and ΔK of LD and SD specimens at R = 0.1 (R—stress ratio; a—crack length; N—number of cycle; da / dN—fatigue crack growth rate; ΔK—stress intensity factor range; 1, 2, 3—specimen numbers)
Fig.4 Relationships between da / dN and ΔK of SD specimens at different R
Fig.5 Fitting results of fatigue crack growth rate at different defect sizes (a) and stress ratios (b)
Fig.6 Relationship between material constants C and m in different R
Fig.7 SEM images of fractographies of SD (a) and LD (b) specimens at R = 0.1 and ΔK = 16 MPa·m1/2
Fig.8 SEM images of fractographies of SD specimens at ΔK = 10 MPa·m1/2 (a, c, e) and 15 MPa·m1/2 (b, d, f) with R = 0.1 (a, b), 0.3 (c, d), and 0.5 (e, f)
Fig.9 Schematics of blunting/re-sharpening (a1-a4) and microvoid coalescence (b1, b2) fatigue crack growth mechanisms (a1) tensile load (a2) maximum tensile load (a3) compress load (a4) zero load (b1) microvoid nucleation (b2) microvoid growth
Fig.10 Schematics of effects of defects on crack tips of blunting/re-sharpening (a) and microvoid coalescence (b) mechanisms
1
Cui C X, Hu B M, Zhao L C, et al. Titanium alloy production technology, market prospects and industry development [J]. Mater. Des., 2011, 32: 1684
doi: 10.1016/j.matdes.2010.09.011
2
Pushp P, Dasharath S M, Arati C. Classification and applications of titanium and its alloys [J]. Mater. Today: Proc., 2022, 54: 537
3
Ke L D, Yin J, Zhu H H, et al. Numerical simulation of stress evolution of thin-wall titanium parts fabricated by selective laser melting [J]. Acta Metall. Sin., 2020, 56: 374
doi: 10.11900/0412.1961.2019.00198
Frazier W E. Metal additive manufacturing: A review [J]. J. Mater. Eng. Perform., 2014, 23: 1917
doi: 10.1007/s11665-014-0958-z
5
Zhang F Y, Tan H, Chen J, et al. Influence of mixing enthalpy on the microstructure of laser multilayer deposited Ti-6Al-4V alloy [J]. Acta Metall. Sin., 2012, 48: 159
doi: 10.3724/SP.J.1037.2011.00351
Meng L X, Yang H J, Ben D D, et al. Effects of defects and microstructures on tensile properties of selective laser melted Ti6Al4V alloys fabricated in the optimal process zone [J]. Mater. Sci. Eng., 2022, A830: 142294
7
Liu Z Q, Xu G J, Wang W, et al. Effect of laser 3D printing process on quality of titanium alloy [J]. J. Shenyang Univ. Technol., 2020, 42: 57
Xu W, Brandt M, Sun S, et al. Additive manufacturing of strong and ductile Ti-6Al-4V by selective laser melting via in situ martensite decomposition [J]. Acta Mater., 2015, 85: 74
doi: 10.1016/j.actamat.2014.11.028
9
Yan X C, Yin S, Chen C Y, et al. Effect of heat treatment on the phase transformation and mechanical properties of Ti6Al4V fabricated by selective laser melting [J]. J. Alloys Compd., 2018, 764: 1056
doi: 10.1016/j.jallcom.2018.06.076
10
Vrancken B, Thijs L, Kruth J P, et al. Heat treatment of Ti6Al4V produced by selective laser melting: Microstructure and mechanical properties [J]. J. Alloys Compd., 2012, 541: 177
doi: 10.1016/j.jallcom.2012.07.022
11
Sanaei N, Fatemi A. Defects in additive manufactured metals and their effect on fatigue performance: A state-of-the-art review [J]. Prog. Mater Sci., 2021, 117: 100724
doi: 10.1016/j.pmatsci.2020.100724
12
Wu Z K, Wu S C, Zhang J, et al. Defect induced fatigue behaviors of selective laser melted Ti-6Al-4V via synchrotron radiation X-ray tomography [J]. Acta Metall. Sin., 2019, 55: 811
doi: 10.11900/0412.1961.2018.00408
Cain V, Thijs L, Van Humbeeck J, et al. Crack propagation and fracture toughness of Ti6Al4V alloy produced by selective laser melting [J]. Addit. Manuf., 2015, 5: 68
15
Rans C, Michielssen J, Walker M, et al. Beyond the orthogonal: On the influence of build orientation on fatigue crack growth in SLM Ti-6Al-4V [J]. Int. J. Fatigue, 2018, 116: 344
doi: 10.1016/j.ijfatigue.2018.06.038
16
Tarik Hasib M, Ostergaard H E, Li X P, et al. Fatigue crack growth behavior of laser powder bed fusion additive manufactured Ti-6Al-4V: Roles of post heat treatment and build orientation [J]. Int. J. Fatigue, 2021, 142: 105955
doi: 10.1016/j.ijfatigue.2020.105955
17
Zhang H Y, Dong D K, Su S P, et al. Experimental study of effect of post processing on fracture toughness and fatigue crack growth performance of selective laser melting Ti-6Al-4V [J]. Chin. J. Aeronaut., 2019, 32: 2383
doi: 10.1016/j.cja.2018.12.007
18
Kumar P, Ramamurty U. Microstructural optimization through heat treatment for enhancing the fracture toughness and fatigue crack growth resistance of selective laser melted Ti6Al4V alloy [J]. Acta Mater., 2019, 169: 45
doi: 10.1016/j.actamat.2019.03.003
19
Qi Z, Wang B, Zhang P, et al. Different effects of multiscale microstructure on fatigue crack growth path and rate in selective laser melted Ti6Al4V [J]. Fatigue Fract. Eng. Mater. Struct., 2022, 45: 2457
doi: 10.1111/ffe.v45.9
20
Dubey S, Soboyejo A B O, Soboyejo W O. An investigation of the effects of stress ratio and crack closure on the micromechanisms of fatigue crack growth in Ti-6Al-4V [J]. Acta Mater., 1997, 45: 2777
doi: 10.1016/S1359-6454(96)00380-1
21
Shademan S, Sinha V, Soboyejo A B O, et al. An investigation of the effects of microstructure and stress ratio on fatigue crack growth in Ti-6Al-4V with colony α/β microstructures [J]. Mech. Mater., 2004, 36: 161
doi: 10.1016/S0167-6636(03)00037-1
22
Paris P, Erdogan F. A critical analysis of crack propagation laws [J]. J. Basic Eng., 1963, 85: 528
doi: 10.1115/1.3656900
23
Xu F, Zhou S L, Shi K X. Effects of stress ratio on fatigue crack growth rate of TC4-DT alloy [J]. Hot Work. Technol., 2010, 39: 33
Zhang Y J, Zhang X Y, Zhang Y H. Pertinence of material constants in paris model for fatigue crack propagation rate of metallic materials [J]. Dev. Appl. Mater., 2021, 36: 1
Susmel L, Tovo R, Lazzarin P. The mean stress effect on the high-cycle fatigue strength from a multiaxial fatigue point of view [J]. Int. J. Fatigue, 2005, 27: 928
doi: 10.1016/j.ijfatigue.2004.11.012