Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids

A numerical implementation of the Somigliana identity in displacements for the solution of 3D elastic problems in exponentially graded isotropic solids is presented. An expression for the fundamental solution in displacements, Uj , was deduced by Martin et al. (Proc. R. Soc. Lond. A, 458, pp. 1931–1...

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Detalles Bibliográficos
Autores: Criado, R., Ortiz Tavara, Jhonny Edgar, Mantic, Vladislav, Gray, L. J., París Carballo, Federico
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/72025
Acceso en línea:https://hdl.handle.net/11441/72025
https://doi.org/10.3970/cmes.2007.022.151
Access Level:acceso abierto
Palabra clave:Functionally graded materials
Boundary element method
Three-dimensional elasticity
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spelling Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic SolidsCriado, R.Ortiz Tavara, Jhonny EdgarMantic, VladislavGray, L. J.París Carballo, FedericoFunctionally graded materialsBoundary element methodThree-dimensional elasticityA numerical implementation of the Somigliana identity in displacements for the solution of 3D elastic problems in exponentially graded isotropic solids is presented. An expression for the fundamental solution in displacements, Uj , was deduced by Martin et al. (Proc. R. Soc. Lond. A, 458, pp. 1931–1947, 2002). This expression was recently corrected and implemented in a Galerkin indirect 3D BEM code by Criado et al. (Int. J. Numer. Meth. Engng., 2008). Starting from this expression of Uj , a new expression for the fundamental solution in tractions Tj has been deduced in the present work. These quite complex expressions of the integral kernels Uj and Tj have been implemented in a collocational direct 3D BEM code. The numerical results obtained for 3D problems with known analytic solutions verify that the new expression for Tj is correct. Excellent accuracy is obtained with very coarse boundary element meshes, even for a relativelyMinisterio de Educación Cultura y Deporte SAB2003-0088Ministerio de Ciencia y Tecnología MAT2003-03315Tech Science PressMecánica de Medios Continuos y Teoría de EstructurasMinisterio de Educación, Cultura y Deporte (MECD). EspañaMinisterio de Ciencia y Tecnología (MCYT). España2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/72025https://doi.org/10.3970/cmes.2007.022.151reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésComputer Modeling in Engineering & Sciences, 22 (2), 151-164.SAB2003-0088MAT2003-03315http://www.techscience.com/cmes/2007/v22n2_index.htmlinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/720252026-06-17T12:51:07Z
dc.title.none.fl_str_mv Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids
title Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids
spellingShingle Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids
Criado, R.
Functionally graded materials
Boundary element method
Three-dimensional elasticity
title_short Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids
title_full Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids
title_fullStr Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids
title_full_unstemmed Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids
title_sort Boundary Element Analysis of Three-Dimensional Exponentially Graded Isotropic Elastic Solids
dc.creator.none.fl_str_mv Criado, R.
Ortiz Tavara, Jhonny Edgar
Mantic, Vladislav
Gray, L. J.
París Carballo, Federico
author Criado, R.
author_facet Criado, R.
Ortiz Tavara, Jhonny Edgar
Mantic, Vladislav
Gray, L. J.
París Carballo, Federico
author_role author
author2 Ortiz Tavara, Jhonny Edgar
Mantic, Vladislav
Gray, L. J.
París Carballo, Federico
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Mecánica de Medios Continuos y Teoría de Estructuras
Ministerio de Educación, Cultura y Deporte (MECD). España
Ministerio de Ciencia y Tecnología (MCYT). España
dc.subject.none.fl_str_mv Functionally graded materials
Boundary element method
Three-dimensional elasticity
topic Functionally graded materials
Boundary element method
Three-dimensional elasticity
description A numerical implementation of the Somigliana identity in displacements for the solution of 3D elastic problems in exponentially graded isotropic solids is presented. An expression for the fundamental solution in displacements, Uj , was deduced by Martin et al. (Proc. R. Soc. Lond. A, 458, pp. 1931–1947, 2002). This expression was recently corrected and implemented in a Galerkin indirect 3D BEM code by Criado et al. (Int. J. Numer. Meth. Engng., 2008). Starting from this expression of Uj , a new expression for the fundamental solution in tractions Tj has been deduced in the present work. These quite complex expressions of the integral kernels Uj and Tj have been implemented in a collocational direct 3D BEM code. The numerical results obtained for 3D problems with known analytic solutions verify that the new expression for Tj is correct. Excellent accuracy is obtained with very coarse boundary element meshes, even for a relatively
publishDate 2007
dc.date.none.fl_str_mv 2007
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/72025
https://doi.org/10.3970/cmes.2007.022.151
url https://hdl.handle.net/11441/72025
https://doi.org/10.3970/cmes.2007.022.151
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Computer Modeling in Engineering & Sciences, 22 (2), 151-164.
SAB2003-0088
MAT2003-03315
http://www.techscience.com/cmes/2007/v22n2_index.html
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Tech Science Press
publisher.none.fl_str_mv Tech Science Press
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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