Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body

Autores
Fachinotti, Victor Daniel; Anca, Andrés Amilcar; Cardona, Alberto
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An analytical solution is computed for the thermal field induced in a semi-infinite body by a moving heat source whose shape was proposed by Goldak et al. for the simulation of welding processes. Due to its ability to accommodate a wide variety of welding techniques, this model is widely used. Throughout two semi-ellipsoidal volumes, corresponding to the front and the rear parts of the moving source, the heat power density is distributed using a Gaussian function.In the literature, Nguyen et al. have proposed an analytical solution to this problem that is however only correct when both semi-ellipsoids are equal (i.e., for a single-ellipsoidal model). The current work presents an extension of the analytical solution of Nguyen et al. to the double-ellipsoidal case. As a special case, the solution for the temperature field induced by a double-elliptical surface heat source is also developed. In order to validate the analytical solutions, the problem is solved using both two- and three-dimensional finite element models in several test-cases. Solutions for double-ellipsoidal and double-elliptical sources are numerically computed and compared to the analytical solutions, while clearly demonstrating the diferences with respect to the solution of Nguyen et al. At the same time, the two-dimensional numerical approximation is evaluated in terms of accuracy and computational cost.
Fil: Fachinotti, Victor Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina. Universidad Nacional del Litoral; Argentina
Fil: Anca, Andrés Amilcar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina. Universidad Nacional del Litoral; Argentina
Fil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina. Universidad Nacional del Litoral; Argentina
Materia
Double-Ellipsoidal Heat Source
Welding
Analytical Solution
Finite Element Method
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/13108
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite bodyFachinotti, Victor DanielAnca, Andrés AmilcarCardona, AlbertoDouble-Ellipsoidal Heat SourceWeldingAnalytical SolutionFinite Element Methodhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2An analytical solution is computed for the thermal field induced in a semi-infinite body by a moving heat source whose shape was proposed by Goldak et al. for the simulation of welding processes. Due to its ability to accommodate a wide variety of welding techniques, this model is widely used. Throughout two semi-ellipsoidal volumes, corresponding to the front and the rear parts of the moving source, the heat power density is distributed using a Gaussian function.In the literature, Nguyen et al. have proposed an analytical solution to this problem that is however only correct when both semi-ellipsoids are equal (i.e., for a single-ellipsoidal model). The current work presents an extension of the analytical solution of Nguyen et al. to the double-ellipsoidal case. As a special case, the solution for the temperature field induced by a double-elliptical surface heat source is also developed. In order to validate the analytical solutions, the problem is solved using both two- and three-dimensional finite element models in several test-cases. Solutions for double-ellipsoidal and double-elliptical sources are numerically computed and compared to the analytical solutions, while clearly demonstrating the diferences with respect to the solution of Nguyen et al. At the same time, the two-dimensional numerical approximation is evaluated in terms of accuracy and computational cost.Fil: Fachinotti, Victor Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina. Universidad Nacional del Litoral; ArgentinaFil: Anca, Andrés Amilcar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina. Universidad Nacional del Litoral; ArgentinaFil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina. Universidad Nacional del Litoral; ArgentinaJohn Wiley & Sons Ltd2011-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/13108Fachinotti, Victor Daniel; Anca, Andrés Amilcar; Cardona, Alberto; Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body; John Wiley & Sons Ltd; Communications In Numerical Methods In Engineering; 27; 4; 3-2011; 595-6071069-8299enginfo:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/cnm.1324/abstractinfo:eu-repo/semantics/altIdentifier/doi/10.1002/cnm.1324info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:50:21Zoai:ri.conicet.gov.ar:11336/13108instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:50:21.437CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body
title Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body
spellingShingle Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body
Fachinotti, Victor Daniel
Double-Ellipsoidal Heat Source
Welding
Analytical Solution
Finite Element Method
title_short Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body
title_full Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body
title_fullStr Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body
title_full_unstemmed Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body
title_sort Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body
dc.creator.none.fl_str_mv Fachinotti, Victor Daniel
Anca, Andrés Amilcar
Cardona, Alberto
author Fachinotti, Victor Daniel
author_facet Fachinotti, Victor Daniel
Anca, Andrés Amilcar
Cardona, Alberto
author_role author
author2 Anca, Andrés Amilcar
Cardona, Alberto
author2_role author
author
dc.subject.none.fl_str_mv Double-Ellipsoidal Heat Source
Welding
Analytical Solution
Finite Element Method
topic Double-Ellipsoidal Heat Source
Welding
Analytical Solution
Finite Element Method
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv An analytical solution is computed for the thermal field induced in a semi-infinite body by a moving heat source whose shape was proposed by Goldak et al. for the simulation of welding processes. Due to its ability to accommodate a wide variety of welding techniques, this model is widely used. Throughout two semi-ellipsoidal volumes, corresponding to the front and the rear parts of the moving source, the heat power density is distributed using a Gaussian function.In the literature, Nguyen et al. have proposed an analytical solution to this problem that is however only correct when both semi-ellipsoids are equal (i.e., for a single-ellipsoidal model). The current work presents an extension of the analytical solution of Nguyen et al. to the double-ellipsoidal case. As a special case, the solution for the temperature field induced by a double-elliptical surface heat source is also developed. In order to validate the analytical solutions, the problem is solved using both two- and three-dimensional finite element models in several test-cases. Solutions for double-ellipsoidal and double-elliptical sources are numerically computed and compared to the analytical solutions, while clearly demonstrating the diferences with respect to the solution of Nguyen et al. At the same time, the two-dimensional numerical approximation is evaluated in terms of accuracy and computational cost.
Fil: Fachinotti, Victor Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina. Universidad Nacional del Litoral; Argentina
Fil: Anca, Andrés Amilcar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina. Universidad Nacional del Litoral; Argentina
Fil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina. Universidad Nacional del Litoral; Argentina
description An analytical solution is computed for the thermal field induced in a semi-infinite body by a moving heat source whose shape was proposed by Goldak et al. for the simulation of welding processes. Due to its ability to accommodate a wide variety of welding techniques, this model is widely used. Throughout two semi-ellipsoidal volumes, corresponding to the front and the rear parts of the moving source, the heat power density is distributed using a Gaussian function.In the literature, Nguyen et al. have proposed an analytical solution to this problem that is however only correct when both semi-ellipsoids are equal (i.e., for a single-ellipsoidal model). The current work presents an extension of the analytical solution of Nguyen et al. to the double-ellipsoidal case. As a special case, the solution for the temperature field induced by a double-elliptical surface heat source is also developed. In order to validate the analytical solutions, the problem is solved using both two- and three-dimensional finite element models in several test-cases. Solutions for double-ellipsoidal and double-elliptical sources are numerically computed and compared to the analytical solutions, while clearly demonstrating the diferences with respect to the solution of Nguyen et al. At the same time, the two-dimensional numerical approximation is evaluated in terms of accuracy and computational cost.
publishDate 2011
dc.date.none.fl_str_mv 2011-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/13108
Fachinotti, Victor Daniel; Anca, Andrés Amilcar; Cardona, Alberto; Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body; John Wiley & Sons Ltd; Communications In Numerical Methods In Engineering; 27; 4; 3-2011; 595-607
1069-8299
url http://hdl.handle.net/11336/13108
identifier_str_mv Fachinotti, Victor Daniel; Anca, Andrés Amilcar; Cardona, Alberto; Analytical solutions of the thermal field induced by moving double-ellipsoidal and double-elliptical heat sources in a semi-infinite body; John Wiley & Sons Ltd; Communications In Numerical Methods In Engineering; 27; 4; 3-2011; 595-607
1069-8299
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/cnm.1324/abstract
info:eu-repo/semantics/altIdentifier/doi/10.1002/cnm.1324
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv John Wiley & Sons Ltd
publisher.none.fl_str_mv John Wiley & Sons Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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