Semi-Analytical Solutions for the Transient Temperature Fields Induced by a Moving Heat Source in an Orthogonal Domain

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    Abstract

    A semi-analytical solution has been derived for the transient temperature elds
    that are generated in a three-dimensional solid body when it is subjected to
    one or more moving heat sources. The solution was derived using the Green's
    function method, and is applicable to any orthogonal domain that is subject to
    arbitrary boundary conditions. The solution can account for any linear combination
    of double-ellipsoidal or double-ellipsoidal-conical (DEC) heat sources.
    It can therefore be applied in situations ranging from an electric arc moving
    across a at plate, to partial-penetration or full-penetration welding either with
    a laser or an electron beam. In this work, full penetration electron beam welds
    in 30 mm and 130 mm thick sections of SA508 steel were used as experimental
    test cases. The solution was shown to oer improved accuracy and dramatic
    reductions in solution times when compared with numerical methods, thereby
    lending itself to real-time in process monitoring of fusion welding processes.
    Original languageEnglish
    JournalInternational Journal of Thermal Sciences
    Volume123
    Early online date4 Oct 2017
    DOIs
    Publication statusPublished - 2018

    Keywords

    • Beam Welding
    • Heat Flux Model
    • Heat transfer
    • Orthogonal geometry
    • Square-butt weld
    • Thermal analysis

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