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Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry

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Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry

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dc.contributor.author Marco Alacid, Onofre es_ES
dc.contributor.author Sevilla, R. es_ES
dc.contributor.author Zhang, Yongjie es_ES
dc.contributor.author Ródenas, J.J. es_ES
dc.contributor.author Tur Valiente, Manuel es_ES
dc.date.accessioned 2017-04-11T12:19:13Z
dc.date.available 2017-04-11T12:19:13Z
dc.date.issued 2015-08
dc.identifier.issn 0029-5981
dc.identifier.uri http://hdl.handle.net/10251/79660
dc.description.abstract [EN] This paper proposes a novel Immersed Boundary Method where the embedded domain is exactly described by using its Computer-Aided Design (CAD) boundary representation with Non-Uniform Rational B-Splines (NURBS) or T-splines. The common feature with other immersed methods is that the current approach substantially reduces the burden of mesh generation. In contrast, the exact boundary representation of the embedded domain allows to overcome the major drawback of existing immersed methods that is the inaccurate representation of the physical domain. A novel approach to perform the numerical integration in the region of the cut elements that is internal to the physical domain is presented and its accuracy and performance evaluated using numerical tests. The applicability, performance, and optimal convergence of the proposed methodology is assessed by using numerical examples in three dimensions. It is also shown that the accuracy of the proposed methodology is independent on the CAD technology used to describe the geometry of the embedded domain. es_ES
dc.description.sponsorship With the support of the European Union Framework Program (FP7) under grant No. 289361 INSIST, Ministerio de Economia y Competitividad of Spain (DPI2010-20542)(DPI2013-46317-R), FPI program (BES-2011-044080), and Generalitat Valenciana (PROMETEO/2012/023). R. Sevilla gratefully acknowledges the financial support provided by the Ser Cymru National Research Network in Advanced Engineering and Materials. Y. Zhang was supported in part by the PECASE Award N00014-14-1-0234 and NSF CAREER Award OCI-1149591. en_EN
dc.language Inglés es_ES
dc.publisher Wiley es_ES
dc.relation MINECO/DPI2010-20542 es_ES
dc.relation.ispartof International Journal for Numerical Methods in Engineering es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Immersed Boundary Methods es_ES
dc.subject Cartesian grids es_ES
dc.subject NURBS es_ES
dc.subject T-spline es_ES
dc.subject Bézier extraction es_ES
dc.subject NEFEM es_ES
dc.subject.classification INGENIERIA MECANICA es_ES
dc.title Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/nme.4914
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/289361/EU/Integrating Numerical Simulation and Geometric Design Technology/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//DPI2013-46317-R/ES/PERSONALIZACION DE IMPLANTES MEDIANTE MODELOS DE ELEMENTOS FINITOS A PARTIR DE IMAGENES MEDICAS 3D/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//BES-2011-044080/ES/BES-2011-044080/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2012%2F023/ES/MODELADO NUMERICO AVANZADO EN INGENIERIA MECANICA/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Ingeniería Mecánica y de Materiales - Departament d'Enginyeria Mecànica i de Materials es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería del Diseño - Escola Tècnica Superior d'Enginyeria del Disseny es_ES
dc.description.bibliographicCitation Marco Alacid, O.; Sevilla, R.; Zhang, Y.; Ródenas, J.; Tur Valiente, M. (2015). Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry. International Journal for Numerical Methods in Engineering. 103(6):445-468. https://doi.org/10.1002/nme.4914 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1002/nme.4914 es_ES
dc.description.upvformatpinicio 445 es_ES
dc.description.upvformatpfin 468 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 103 es_ES
dc.description.issue 6 es_ES
dc.relation.senia 302569 es_ES
dc.identifier.eissn 1097-0207
dc.contributor.funder European Commission
dc.contributor.funder Ministerio de Economía y Competitividad
dc.contributor.funder Generalitat Valenciana
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