Mechanical relaxation of localized residual stresses associated with foreign object damage

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Abstract

Foreign-object damage associated with the ingestion of debris into aircraft turbine engines can lead to a marked degradation in the high-cycle fatigue (HCF) life of turbine components. This degradation is generally considered to be associated with the premature initiation of fatigue cracks at or near the damage sites; this is suspected to be due to, at least in part, the impact-induced residual stress state, which can be strongly tensile in these locations. However, recent experimental studies have shown the unexpected propensity for impact-induced fatigue crack formation at locations of compressive residual stress in the vicinity of the impact site. To address this issue, in situ and ex situ spatially-resolved X-ray diffraction and numerical modeling are utilized to show that the initial residual stress state can be strongly relaxed during the fatigue loading process. The magnitude and rate of relaxation is strongly dependent on the applied loads. For a Ti–6Al–4V turbine blade alloy, little relaxation was observed for an applied maximum stress of 325 MPa (0.35σy, where σy is the yield stress), and cracks tended to form in subsurface zones of tensile residual stress away from the damage sites. In contrast, at an applied maximum stress of 500 MPa (0.54σy), equal to the smooth-bar 107-cycle endurance strength, cracks tended to form at the damage sites in zones of high stress concentration that had initially been in strong compression, but had relaxed during the fatigue loading.

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.

  • 1

    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

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Present address: Technical University Hamburg-Harburg, 21071 Hamburg, Germany.

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