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Journal of Engineering Mathematics

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01-06-2014

Transient thermal behaviour in a model of linear friction welding

Authors: A. A. Lacey, C. Voong

Published in: Journal of Engineering Mathematics | Issue 1/2014

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Abstract

We derive a non-local model for the evolution of temperature in workpieces being joined by linear friction welding. The non-locality arises through the velocity being fixed by the temperature gradient at the weld. Short- and long-time behaviours are considered.

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Li W-Y, Ma TJ, Yang SQ, Xu QZ, Zhang Y, Li JL, Liao HL (2008) Effect of friction time on flash shape and axial shortening of friction stir welded 45 steel. Mater Lett 62:293–296CrossRef

Mishra RS, Ma ZY (2005) Friction stir welding and processing. Mater Sci Eng R 50:1–78CrossRef

Schmidt H, Hattel J (2005) A local model for the thermomechanical conditions in friction stir welding. Model Simul Mater Sci Eng 13:77–93ADSCrossRef

Schmidt H, Hattel J, Wert J (2004) An analytical model for the heat generation in friction stir welding. Model Simul Mater Sci Eng 12:143–157ADSCrossRef

Sketchley PD, Threadgill PL, Wright IG (2002) Rotary friction welding of \(\text{ Fe }_3\)Al based ODS alloy. Mater Sci Eng A 329–331:756–762CrossRef

Threadgill P (2002) Linear Friction Welding, TWI Knowledge Summary. www.twi.co.uk

Vairis A, Frost M (1998) High frequency linear friction welding of titanium alloy. Wear 217(1):117–131CrossRef

Vairis A, Frost M (2000) Modelling the linear friction welding of titanium blocks. Mater Sci Eng A 292:8–17CrossRef

Wanjara P, Jahazi M (2005) Linear friction welding of Ti–6Al–4V: Processing, microstructure, and mechanical-property inter-relationships. Metall Mater Trans A 36:2149–2164CrossRef

10.

Hinch EJ, Spence PJ, Howison SD, Ockendon JR, Chapman SJ, Cowley SJ, Duursma GR, Guneratne J, Gillies B, Llewellyn-Smith S, Parker DF (1998) European Study Group with Industry Report: Linear Friction Welding (Unpublished)

11.

Lacey AA, Voong C (2012) Steady-state mathematical models of linear friction welding. Q J Mech Appl Math 65:211–237CrossRefMATHMathSciNet

12.

Kavallaris NI, Lacey AA, Nikolopoulos CV, Voong C (2007) Behaviour of a non-local equation modelling linear friction welding. IMA J Appl Math 72:597–616CrossRefMATHMathSciNet

13.

Carslaw HS, Jaeger JC (1959) Conduction of heat in solids, 2nd edn. Oxford University Press, Oxford

14.

Ockendon J, Howison S, Lacey A, Movchan A (2003) Applied partial differential equations, revised edition. Oxford University Press, Oxford

Title: Transient thermal behaviour in a model of linear friction welding
Authors: A. A. Lacey
C. Voong
Publication date: 01-06-2014
Publisher: Springer Netherlands
Published in: Journal of Engineering Mathematics / Issue 1/2014
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI: https://doi.org/10.1007/s10665-013-9650-9

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