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Article: Adaptive meshing of 2D heterogeneous objects using material quadtree

TitleAdaptive meshing of 2D heterogeneous objects using material quadtree
Authors
KeywordsAdaptive meshing
Heterogeneous object
Material quadtree
Quadrant
Issue Date2011
PublisherC A D Solutions. The Journal's web site is located at http://www.cadanda.com
Citation
Computer-Aided Design And Applications, 2011, v. 8 n. 2, p. 289-300 How to Cite?
Abstract
In finite element analysis (FEA), adaptive meshing of an object is usually preferred. With adaptive meshing, geometric accuracies of the mesh and more accurate FEA solution can be achieved while maintaining the computational efficiency. Numerous researches about adaptive meshing have been done and most of the existing schemes can generate meshes properly when the objects under meshing are homogeneously constituted. With the advent of heterogeneous objects, traditional adaptive meshing schemes become inadequate as the material heterogeneities of the mesh nodes and mesh elements are not taken into consideration. Inaccurate FEA results may result when a traditional adaptive mesh for a heterogeneous object is used as input geometry for the FEA. To cope with this problem, proper adaptive meshing schemes for heterogeneous objects should be developed. In this paper, the problem in 2D case is considered and a material quadtree is introduced. In this material quadtree, apart from the geometries of a heterogeneous object, the material heterogeneity information is also taken into account. Different types of quadrants are defined and a material composition variation threshold is introduced. This threshold and the traditional quadtree resolution are used to verify whether a quadrant should be recursively subdivided. By checking these threshold and resolution properly, the resultant material quadtree is able to represent the geometries of the heterogeneous object to predefined level of details. Moreover the material composition variation inside each quadrant should be within a preset threshold. By triangulating the quadrants of the material quadtree, an adaptive mesh can be created. © 2011 CAD Solutions, LLC.
Persistent Identifierhttp://hdl.handle.net/10722/137348
ISSN
2013 SCImago Journal Rankings: 0.410
References

 

DC FieldValueLanguage
dc.contributor.authorChiu, WKen_HK
dc.contributor.authorKou, XYen_HK
dc.contributor.authorTan, STen_HK
dc.date.accessioned2011-08-26T14:23:35Z-
dc.date.available2011-08-26T14:23:35Z-
dc.date.issued2011en_HK
dc.identifier.citationComputer-Aided Design And Applications, 2011, v. 8 n. 2, p. 289-300en_HK
dc.identifier.issn1686-4360en_HK
dc.identifier.urihttp://hdl.handle.net/10722/137348-
dc.description.abstractIn finite element analysis (FEA), adaptive meshing of an object is usually preferred. With adaptive meshing, geometric accuracies of the mesh and more accurate FEA solution can be achieved while maintaining the computational efficiency. Numerous researches about adaptive meshing have been done and most of the existing schemes can generate meshes properly when the objects under meshing are homogeneously constituted. With the advent of heterogeneous objects, traditional adaptive meshing schemes become inadequate as the material heterogeneities of the mesh nodes and mesh elements are not taken into consideration. Inaccurate FEA results may result when a traditional adaptive mesh for a heterogeneous object is used as input geometry for the FEA. To cope with this problem, proper adaptive meshing schemes for heterogeneous objects should be developed. In this paper, the problem in 2D case is considered and a material quadtree is introduced. In this material quadtree, apart from the geometries of a heterogeneous object, the material heterogeneity information is also taken into account. Different types of quadrants are defined and a material composition variation threshold is introduced. This threshold and the traditional quadtree resolution are used to verify whether a quadrant should be recursively subdivided. By checking these threshold and resolution properly, the resultant material quadtree is able to represent the geometries of the heterogeneous object to predefined level of details. Moreover the material composition variation inside each quadrant should be within a preset threshold. By triangulating the quadrants of the material quadtree, an adaptive mesh can be created. © 2011 CAD Solutions, LLC.en_HK
dc.languageengen_US
dc.publisherC A D Solutions. The Journal's web site is located at http://www.cadanda.comen_HK
dc.relation.ispartofComputer-Aided Design and Applicationsen_HK
dc.subjectAdaptive meshingen_HK
dc.subjectHeterogeneous objecten_HK
dc.subjectMaterial quadtreeen_HK
dc.subjectQuadranten_HK
dc.titleAdaptive meshing of 2D heterogeneous objects using material quadtreeen_HK
dc.typeArticleen_HK
dc.identifier.emailTan, ST:sttan@hkucc.hku.hken_HK
dc.identifier.authorityTan, ST=rp00174en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.3722/cadaps.2011.289-300en_HK
dc.identifier.scopuseid_2-s2.0-79961005147en_HK
dc.identifier.hkuros191249en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79961005147&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume8en_HK
dc.identifier.issue2en_HK
dc.identifier.spage289en_HK
dc.identifier.epage300en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChiu, WK=36877844400en_HK
dc.identifier.scopusauthoridKou, XY=7005662507en_HK
dc.identifier.scopusauthoridTan, ST=7403366758en_HK

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