Mechanical relaxation of localized residual stresses associated with foreign object damage
Introduction
The ingestion of airborne objects or debris into aircraft turbine engines can lead to severe reductions in the expected high-cycle fatigue (HCF) life of impact-damaged components [1], [2]. In a simplified simulation of such damage using high-velocity impacts of hard spherical objects onto a Ti–6Al–4V blade alloy, studies [3], [4] have shown that the endurance strength can be reduced by as much as 50% and the number of cycles to failure at a given stress amplitude decreased by several orders of magnitude. The reduction in fatigue life due to such foreign-object damage (FOD) was reasoned to be associated with four main factors: (i) impact-induced residual stresses, (ii) microcracks formed upon impact, (iii) the stress-concentrating effects of the impact site, and (iv) distortion of the microstructure.
In an effort to specifically quantify the contribution of residual stresses, spatially-resolved synchrotron X-ray diffraction experiments were carried out to measure local residual stress values in the vicinity of the impact sites [5]. While the presence of such local stresses was thought to influence the premature initiation of fatigue cracks and their early growth during subsequent fatigue cycling, these preliminary studies [4], [5], [6], [7] indicated the potential relaxation of the impact-induced residual stresses during fatigue loading, implying that in this relaxed state, the residual stresses might not be a significant driving force (or mitigating force) in crack formation and propagation.
It is the purpose of the current paper to evaluate the redistribution and/or relaxation of impact-induced residual stresses during mechanical fatigue loading using in situ and ex situ synchrotron X-ray diffraction, to compare the observed behavior with numerical modeling of the damage and subsequent relaxation processes, and to use this information to develop a better understanding of the driving force for the initiation and subsequent propagation of cracks at sites of impact damage during HCF loading.
Section snippets
Background
The residual stress state left by the impact of a projectile onto a metallic surface can be significantly altered during subsequent fatigue loading. Such mechanical cycle-dependent redistribution of residual stresses is often termed ‘cyclic relaxation’ or ‘fading’, and has been studied predominantly with respect to shot peening and welding induced residual stresses2
Material
The material studied in this investigation was a Ti–6Al–4V alloy with composition (in wt.%) of 6.30 Al, 4.17 V, 0.19 Fe, 0.19 O, 0.013 N, 0.0035 H, bal. Ti. It was received as 20 mm thick forged plates from Teledyne Titanium after solution treating 1 h at 925°C and vacuum annealing for 2 h at 700°C. This alloy, which has been chosen as the basis of a comprehensive military/industry/university program on High Cycle Fatigue, has a microstructure consisting of a bimodal distribution of ∼60 vol.%
Initial residual stress state
The initial residual stress state, prior to fatigue loading, due to the impact or quasi-static indentations has been determined previously by a combination of experimental X-ray diffraction and finite element analysis [5], [17], however, it is worthwhile to emphasize some key features of this residual stress distribution here. An overview of the general shape of the residual stress field, illustrated in Fig. 5, reveals two primary zones of tension in the immediate vicinity of the indent, namely
Implications for foreign object damage
Recent studies [4], [5], [6], [7] on the effects of simulated foreign object damage on the HCF behavior of Ti–6Al–4V have shown that for applied cyclic stresses of σmax=500 MPa (∼0.5σy), fatigue cracking tends to initiate at the damage crater rim for the highest velocity (300 m/s) impacts and at the crater floor for the lower velocity (200 m/s) impacts. Although the stress concentration associated with the crater is smaller at the rim compared with the floor (kt,floor ∼1.5, kt,rim ∼1.15),
Conclusions
Based on a numerical (finite element analysis) and experimental (synchrotron X-ray diffraction) evaluation of the fatigue loading-induced relaxation of localized residual stresses formed around a site of simulated FOD in a forged Ti–6Al–4V alloy, the following conclusions can be drawn.
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The initial residual stress state associated with FOD can decay during subsequent mechanical loading, e.g. by fatigue, and, therefore, may only have a limited bearing on the driving forces for crack initiation and
Acknowledgements
This work was supported by the US Air Force Office of Scientific Research under Grant No. F49620-96-1-0478 under the auspices of the Multidisciplinary University Research Initiative on High Cycle Fatigue to the University of California (for numerical modeling and fatigue analysis), the Office of Science, US Department of Energy under contract #DE-AC03-76SF00098 (for experimental diffraction results), and the Stanford Synchrotron Radiation Laboratory, operated by the Department of Energy, Office
References (21)
Int. J. Fatigue
(1999)- et al.
Int. J. Impact Eng.
(2001) - et al.
Eng. Fract. Mech.
(2002) - et al.
Mech. Mater.
(2001) - et al.
Eng. Fract. Mech.
(2000) - et al.
Mater. Sci. Eng.
(1998) - et al.
Mater. Sci. Eng.
(2000) - et al.
Scr. Metall.
(1983) - et al.
Mater. Sci. Eng.
(1982) - S.J. Hudak, Jr, K.S. Chan, R.C. McClung, G.G. Chell, Y.D. Lee, D.L. Davidson, High cycle fatigue of turbine engine...
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Present address: Technical University Hamburg-Harburg, 21071 Hamburg, Germany.