Elsevier

Acta Materialia

Volume 59, Issue 10, June 2011, Pages 3792-3803
Acta Materialia

Linear friction welding of Ti–6Al–4V: Modelling and validation

https://doi.org/10.1016/j.actamat.2011.02.028Get rights and content

Abstract

The linear friction welding (LFW) process – of the type required for the production of bladed discs for the next generation of civil aero-engines – is modelled using numerical and analytical methods. For model validation and testing, experimental work is carried out on the Ti–6Al–4V alloy using pilot-scale apparatus. Welds were instrumented with thermocouples to deduce the heat transfer effects prevalent in the process. The sensitivity of the measured rates of upset to the critical process variables – amplitude, frequency and the applied pressure – is shown to be consistent with the predictions of the modelling. The flash produced is dependent upon the ratio of oscillation amplitude to applied load; when this is large, a rippled morphology is produced. An analytical model of the process is proposed, in which the rate of mechanical working is balanced against the enthalpy associated with flash formation; at steady state, the temperature is predicted to decrease exponentially with distance in the heat-affected zone (HAZ), and the temperature gradient in the HAZ to increase as the upset rate increases, consistent with observation. By consideration of the form of the analytical model and the processes occurring during LFW it is suggested that, for a given upset rate, the weld temperature decreases as the pressure increases. Analysis of the experimental data indicates that the efficiency of adiabatic heating is close to 100%.

Graphical abstract

Numerical modelling allows the rate of upsetting and temperature profiles in linear friction welding of a titanium alloy to be estimated. Experimental measurements are in good agreement with model. Effects of oscillation frequency, amplitude and pressure are rationalised. Adiabatic efficiency of process is close to unity.

  1. Download : Download high-res image (47KB)
  2. Download : Download full-size image

Introduction

Linear friction welding (LFW) is a process which – if successfully implemented in the gas turbine industry – would enable the weight of modern aero-engines to be reduced significantly, with concomitant benefits in terms of performance, fuel economy and CO2 emissions [1]. This is due to its use for the production of integrally bladed discs, which are known colloquially as blisks [2], [3]. Blisks offer a significant advantage over conventional disc/blade arrangements which are reliant on mechanical fixturing and dovetail joints (see Fig. 1). Currently, the LFW process is the most attractive one for blisk production. Whilst machining a blisk from a single forging is more practical and more cost-efficient for smaller gas turbines, for the larger ones required for large civil aero-engines – which are typically manufactured from a high-strength titanium alloy such as Ti–6Al–4V [4], [5], [6] – the blades are large so that machining of blisks from solid forgings produces considerable material waste. In these circumstances, it is cost-efficient to fabricate the blade and disc separately, and then join them using the LFW process.

In this paper, modelling of the LFW of Ti–6Al–4V is carried out. Since LFW is a relatively new process which has not yet been adopted as widely as it might be in the future [1], validated models will prove useful for the purposes of analysis but also to aid in the identification of optimal values of the process variables. Moreover, since many aspects of LFW are not amenable to direct measurement during the process – partly on account of the significant strain rates incurred and its speed – modelling represents the only pragmatic way to make estimates of the behaviour of the material during joining. So far, very little work has been reported on the modelling of the LFW process. The modelling described here is used to predict factors such as thermal profiles, flash formation, and strains and strain rates experienced within the joint and the surrounding parent material. Experimental data gained from welding trials are used for the purposes of testing the predictions.

Section snippets

Background

To place some aspects of the research in context and because LFW is a relatively new process for which the terminology is not yet well established, some background information is now presented. Note that it is not our intention here to cover other related (but different) processes such as inertia or friction stir welding – for which a number of excellent papers and overview articles may be readily found [e.g. [7], [8], [9]].

Although one continuous process in practice, several distinct phases

Description of the process model

A numerical model is developed in which the deformation expected during the process is simulated using the finite element method (FEM). The titanium alloy Ti–6Al–4V is considered. To test the predictions of the model, comparisons are made with measurements made using a LFW machine. The model is developed within a commercial finite element software package [19].

Experimental validation

Experimental trials on rectilinear testpieces were performed using a Process Development System LFW machine, manufactured by MTS (Model 54-449-701). The machine allows for oscillation frequencies in the range 10–75 Hz, oscillation amplitudes of between 1 and 5 mm and forging loads of up to 60 kN, so that a maximum applied stress of 150 MPa could be generated. In excess of 50 welds were fabricated with the conditions chosen so that the limits of the capabilities of the machine were explored.

Critique of the temperature profile assumed for conditioning phase

A series of process models were executed, each with identical inputs except for the initial temperature profile assumed to represent the effects of conditioning. The thermal profiles used are given in Fig. 6; the homologous temperatures are quoted using an assumed liquidus temperature of 1660 °C. The first thermal profile (profile 1) was chosen after preliminary modelling work which included treatment of some part of the conditioning phase – this is regarded as the baseline profile. Profile 2

Rationalization of experimental findings

The results presented above warrant rationalization, and to do this an analytical model for the process is proposed; thus a number of simplifying assumptions need to be introduced. For any given set of process parameters, the flash region is assumed to form at a constant temperature Tflash, with material crossing the flash–HAZ interface at a velocity v consistent with the constant burn-off rate observed experimentally. Thus steady-state conditions are assumed to prevail. Heating is assumed to

Conclusions

The following conclusions can be drawn from this work:

  • 1.

    A finite-element (FE) model for the LFW of the titanium alloy Ti–6Al–4V has been formulated, which can be used to predict many of the important thermal and mechanical characteristics of the process.

  • 2.

    In particular, it has proved possible to simulate with reasonable accuracy the flash formation caused by the oscillating motion and the axial load applied during processing. The flash topology is found to be sensitive to the values of the weld

Acknowledgements

The authors wish to acknowledge the Engineering and Physical Sciences Research Council (EPSRC) for funding of this project. The authors would also like to express their thanks to Rolls-Royce plc for the use of their equipment, and to Richard March, Mike Rowlson and Stan Nikov (Rolls-Royce plc) for their assistance in this work, in the fields of solid-state joining and process modelling. Comments on an early version of the manuscript by Professor John Knott of the University of Birmingham are

References (22)

  • J.C. Williams et al.

    Acta Mater

    (2003)
  • W.M. Thomas et al.

    Mater Des

    (1997)
  • A. Vairis et al.

    Wear

    (1998)
  • A. Vairis et al.

    Mater Sci Eng A

    (1999)
  • A. Vairis et al.

    Mater Sci Eng A

    (2000)
  • W. Li et al.

    Mater Lett

    (2008)
  • M.R. Daymond et al.

    Physica B

    (2003)
  • M. Karadge et al.

    Mater Sci Eng A

    (2008)
  • M. Karadge et al.

    Mater Sci Eng A

    (2007)
  • P. Wanjara et al.

    Metall Mater Trans

    (2005)
  • P. Frankel et al.

    Mater Sci Technol

    (2009)
  • Cited by (0)

    View full text