Prediction of Cold Dwell-Fatigue Crack Growth of Titanium Alloys

doi:10.1007/s40195-015-0240-x

Abstract

Abstract:

The dwell effect of the material can reduce the fatigue lives of titanium alloys at room temperature. A unified fatigue life prediction method developed by the authors’ group is modified in this paper to predict dwell-fatigue crack growth taking into account the effects of dwell time and maximum stress. The modified model can be successfully used to predict the crack growth rate and calculate the fatigue life of different titanium alloys under pure fatigue and dwell-fatigue conditions. It is validated by comparing prediction results with the experimental data of several titanium alloys with different microstructures, dwell time, hydrogen contents, stress ratios and stress levels .

Key words: Titanium alloy, Dwell-fatigue, Fatigue, Crack growth

Ke Wang, Fang Wang, Wei-Cheng Cui, A.-Li Tian. Prediction of Cold Dwell-Fatigue Crack Growth of Titanium Alloys[J]. Acta Metallurgica Sinica (English Letters), 2015, 28(5): 619-627.

Figures/Tables 12

Table 1 Predicted parameters for the titanium alloys IMI834 and IMI685

Alloy	_R	A ₁ (MPa^-^m m^1-0.5^m )	n ₁	m ₁	d (μm)	σ _y (MPa)	σ _u (MPa)	ΔK _thR (MPa m^0.5)	k (m^-1)	ΔK _th-s (MPa m^0.5)	ΔK _c (MPa m^0.5)	A ₂ (MPa^-^m m^1-0.5^m s^-1)	n ₂	m ₂	κ
Bimodal IMI834	0.1	2.0 × 10^-9	6	0.7	2.74	850	1180	11.52	14,363	1.1	41	1 × 10^-16	6	4	6
Elongated IMI834	0.1	5.2 × 10^-9	6	0.7	3.172	860	1046	11.52	12,192	1.1	41	6 × 10^-16	6	6	6
IMI685 with 40 ppm H	0.1	6.0 × 10^-9	6	0.8	2.81	844	907	8.50	21,249	1.1	67	8 × 10^-12	6	2	2
IMI685 with 60 ppm H	0.1	3.0 × 10^-9	6	1.5	3.7	876	976	8.50	17,695	1.1	67	5 × 10^-14	6	5.0	6

Fig. 1 Comparison between the predicted results and experimental data [10, 15] of pure fatigue and dwell-fatigue lives of titanium alloy IMI834

Fig. 2 Comparison between the prediction results and the experimental data [10, 15] of pure fatigue and dwell-fatigue lives for the alloy IMI834 with elongated primary alpha grain microstructure under different dwell time

Fig. 3 Comparison between the prediction results and the test data [10] for dwell-fatigue life of the alloy IMI834 with elongated primary alpha grain microstructure

Fig. 4 Comparison between the prediction results and test data [4, 14] of pure fatigue and dwell-fatigue lives for titanium alloy IMI685 with different hydrogen contents under different conditions

Table 2 Predicted parameters for the titanium alloys Ti-6242 and Ti-6Al-4V

Alloy	R	A ₁ (MPa^-^m m^1-0.5^m )	n ₁	m ₁	d (μm)	σ _y (MPa)	σ _u (MPa)	ΔK _thR (MPa m^0.5)	k (m^-1)	ΔK _th-s (MPa m^0.5)	ΔK _c (MPa m^0.5)	A ₂ (MPa^-^m m^1-0.5^m s^-1)	n ₂	m ₂	κ
Lamellar Ti-6242 (long crack)	0.1	5 × 10^-12	6	3.2	3.13	927	1044	4.5	258590	1.1	8 × 10^-12	6	4	66	4
Equiaxed Ti-6242 (short crack)	0.1	1 × 10^-9	6	1.5	2.02	1017	1104	4.0	155663	1.1	5 × 10^-10	6	2	47	6
Elongated Ti-6242 (short crack)	0.1	2 × 10^-9	6	1.5	2.47	920	996	5.0	91837	1.1	5 × 10^-7	6	1.2	46.2	6
Colony Ti-6242 (short crack)	0.1	2 × 10^-10	6	1.2	2.44	927	1044	5.0	80499	1.1	8 × 10^-9	6	1.5	56.2	6
TL orientation annealed Ti-6Al-4V	0.1	2 × 10^-10	6	2.5	4.5	1009	1034	5.6	20874	1.1	2 × 10^-13	6	5	46.3	6
TS orientation Ti-6Al-4V	0.1	2 × 10^-10	6	2.5	4.5	1009	1034	5.6	20874	1.1	2 × 10^-13	6	5	74.6	6
TL orientation duple × annealed Ti-6Al-4V	0.1	2 × 10^-10	6	2.5	4.5	938	1005	5.6	20874	1.1	4 × 10^-13	6	5	74.4	6

Fig. 5 Comparison between the prediction results and test data [21] of long crack growth rate for titanium alloy Ti-6242 under the conditions of R = 0.1 and dwell time of 80 s

Fig. 6 Comparison between the prediction results and test data [7] of short crack growth rate for titanium alloy Ti-6242 with different types of microstructure under the conditions of R = 0.1 and σ max = 0.8 σ y

Fig. 7 Comparison between the prediction results and test data [7] of short crack growth rate for titanium alloy Ti-6242 with different types of microstructure under the conditions of R = 0.1, t hold = 60 s and σ max = 0.8 σ y

Fig. 8 Comparison between the prediction results and test data [19] of crack growth rate for TL orientation annealed Ti-6Al-4V alloy under the conditions of R = 0.1 and different dwell time

Fig. 9 Comparison between the prediction results and test data [19] of crack growth rate for TS orientation annealed Ti-6Al-4V alloy under the conditions of R = 0.1 and different dwell time

Fig. 10 Comparison between the prediction results and test data [19] of crack growth rate for TL orientation duplex annealed Ti-6Al-4V alloy under the conditions of R = 0.1 and different dwell time

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