Steady-state mathematical models of linear friction welding

A. A. Lacey, C. Voong

Research output: Contribution to journalArticle

Abstract

An unpublished Study Group report presents a mathematical model for the mechanics and thermal behaviour in linear friction welding, simplifies the model and solves it numerically via shooting for ‘hard’ materials. The present paper considers the same basic mathematical model, uses a quadratures technique for its solution and looks at the contrasting case of ‘soft’ materials. The range of validity of the model and possible improvements are also considered.
Original languageEnglish
Pages (from-to)211-237
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume65
Issue number2
DOIs
Publication statusPublished - 1 May 2012

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Welding
Friction
Mathematical Model
Shooting
Quadrature
Mechanics
Simplify
Model
Range of data

Cite this

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title = "Steady-state mathematical models of linear friction welding",
abstract = "An unpublished Study Group report presents a mathematical model for the mechanics and thermal behaviour in linear friction welding, simplifies the model and solves it numerically via shooting for ‘hard’ materials. The present paper considers the same basic mathematical model, uses a quadratures technique for its solution and looks at the contrasting case of ‘soft’ materials. The range of validity of the model and possible improvements are also considered.",
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Steady-state mathematical models of linear friction welding. / Lacey, A. A.; Voong, C.

In: Quarterly Journal of Mechanics and Applied Mathematics, Vol. 65, No. 2, 01.05.2012, p. 211-237.

Research output: Contribution to journalArticle

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AB - An unpublished Study Group report presents a mathematical model for the mechanics and thermal behaviour in linear friction welding, simplifies the model and solves it numerically via shooting for ‘hard’ materials. The present paper considers the same basic mathematical model, uses a quadratures technique for its solution and looks at the contrasting case of ‘soft’ materials. The range of validity of the model and possible improvements are also considered.

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