A Semi-Analytical Solution for the Transient Temperature Field Generated by a Volumetric Heat Source Developed for the Simulation of Friction Stir WeldingCitation formats

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A Semi-Analytical Solution for the Transient Temperature Field Generated by a Volumetric Heat Source Developed for the Simulation of Friction Stir Welding. / Flint, Thomas; Francis, John; Smith, Michael.

In: International Journal of Thermal Sciences, Vol. 138, 04.2019, p. 586-595.

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@article{45ea04d948044fb8bb4237b27beba345,
title = "A Semi-Analytical Solution for the Transient Temperature Field Generated by a Volumetric Heat Source Developed for the Simulation of Friction Stir Welding",
abstract = "The accurate prediction of transient temperature fields, induced in alloysystems during advanced manufacturing processes, is critical. These fields influence the magnitude and distribution of residual stresses, the evolution ofmaterial microstructures, and material properties such as fracture toughness.Such predictions in the vicinity of a concentrated heat source requires preciseknowledge of the associated heat flux as a function of position and time. Ifthe applied thermal load is time-dependent this can have a significant effecton the resulting temperature fields and microstructures. In this work a novelthree-dimensional heat source is proposed to represent the friction stir weldingprocess along with the semi-analytical solution for the temperature field. Thevolumetric heat source model has a nontrivial spatial distribution constructedfrom physical arguments and may account for complex mass transfer, and theassociated thermal effects, without explicitly solving the flow equations. Amethod for incorporating a time-dependent heating scenario into analytical so-lutions generated by this heat source is also presented. Predicted temperaturesare compared with those measured experimentally for two cases reported inthe literature and good agreement is observed. Example solutions for varioustime-dependent heat inputs are also presented.",
keywords = "Green's Function, Thermal Analysis, Time Dependent Heating Rate, Heat Flux Model, Friction Stir Welding, 3D Thermal Analytical Solution",
author = "Thomas Flint and John Francis and Michael Smith",
year = "2019",
month = "4",
doi = "10.1016/j.ijthermalsci.2018.12.049",
language = "English",
volume = "138",
pages = "586--595",
journal = "International Journal of Thermal Sciences",
issn = "1290-0729",
publisher = "Elsevier BV",

}

RIS

TY - JOUR

T1 - A Semi-Analytical Solution for the Transient Temperature Field Generated by a Volumetric Heat Source Developed for the Simulation of Friction Stir Welding

AU - Flint, Thomas

AU - Francis, John

AU - Smith, Michael

PY - 2019/4

Y1 - 2019/4

N2 - The accurate prediction of transient temperature fields, induced in alloysystems during advanced manufacturing processes, is critical. These fields influence the magnitude and distribution of residual stresses, the evolution ofmaterial microstructures, and material properties such as fracture toughness.Such predictions in the vicinity of a concentrated heat source requires preciseknowledge of the associated heat flux as a function of position and time. Ifthe applied thermal load is time-dependent this can have a significant effecton the resulting temperature fields and microstructures. In this work a novelthree-dimensional heat source is proposed to represent the friction stir weldingprocess along with the semi-analytical solution for the temperature field. Thevolumetric heat source model has a nontrivial spatial distribution constructedfrom physical arguments and may account for complex mass transfer, and theassociated thermal effects, without explicitly solving the flow equations. Amethod for incorporating a time-dependent heating scenario into analytical so-lutions generated by this heat source is also presented. Predicted temperaturesare compared with those measured experimentally for two cases reported inthe literature and good agreement is observed. Example solutions for varioustime-dependent heat inputs are also presented.

AB - The accurate prediction of transient temperature fields, induced in alloysystems during advanced manufacturing processes, is critical. These fields influence the magnitude and distribution of residual stresses, the evolution ofmaterial microstructures, and material properties such as fracture toughness.Such predictions in the vicinity of a concentrated heat source requires preciseknowledge of the associated heat flux as a function of position and time. Ifthe applied thermal load is time-dependent this can have a significant effecton the resulting temperature fields and microstructures. In this work a novelthree-dimensional heat source is proposed to represent the friction stir weldingprocess along with the semi-analytical solution for the temperature field. Thevolumetric heat source model has a nontrivial spatial distribution constructedfrom physical arguments and may account for complex mass transfer, and theassociated thermal effects, without explicitly solving the flow equations. Amethod for incorporating a time-dependent heating scenario into analytical so-lutions generated by this heat source is also presented. Predicted temperaturesare compared with those measured experimentally for two cases reported inthe literature and good agreement is observed. Example solutions for varioustime-dependent heat inputs are also presented.

KW - Green's Function

KW - Thermal Analysis

KW - Time Dependent Heating Rate

KW - Heat Flux Model

KW - Friction Stir Welding

KW - 3D Thermal Analytical Solution

U2 - 10.1016/j.ijthermalsci.2018.12.049

DO - 10.1016/j.ijthermalsci.2018.12.049

M3 - Article

VL - 138

SP - 586

EP - 595

JO - International Journal of Thermal Sciences

JF - International Journal of Thermal Sciences

SN - 1290-0729

ER -