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Article: Adaptive meshing of 2D heterogeneous objects using material quadtree
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TitleAdaptive meshing of 2D heterogeneous objects using material quadtree
 
AuthorsChiu, WK1
Kou, XY1
Tan, ST1
 
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
 
CitationComputer-Aided Design And Applications, 2011, v. 8 n. 2, p. 289-300 [How to Cite?]
DOI: http://dx.doi.org/10.3722/cadaps.2011.289-300
 
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.
 
ISSN1686-4360
2013 SCImago Journal Rankings: 0.410
 
DOIhttp://dx.doi.org/10.3722/cadaps.2011.289-300
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorChiu, WK
 
dc.contributor.authorKou, XY
 
dc.contributor.authorTan, ST
 
dc.date.accessioned2011-08-26T14:23:35Z
 
dc.date.available2011-08-26T14:23:35Z
 
dc.date.issued2011
 
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.
 
dc.description.naturelink_to_subscribed_fulltext
 
dc.identifier.citationComputer-Aided Design And Applications, 2011, v. 8 n. 2, p. 289-300 [How to Cite?]
DOI: http://dx.doi.org/10.3722/cadaps.2011.289-300
 
dc.identifier.doihttp://dx.doi.org/10.3722/cadaps.2011.289-300
 
dc.identifier.epage300
 
dc.identifier.hkuros191249
 
dc.identifier.issn1686-4360
2013 SCImago Journal Rankings: 0.410
 
dc.identifier.issue2
 
dc.identifier.scopuseid_2-s2.0-79961005147
 
dc.identifier.spage289
 
dc.identifier.urihttp://hdl.handle.net/10722/137348
 
dc.identifier.volume8
 
dc.languageeng
 
dc.publisherC A D Solutions. The Journal's web site is located at http://www.cadanda.com
 
dc.publisher.placeUnited States
 
dc.relation.ispartofComputer-Aided Design and Applications
 
dc.relation.referencesReferences in Scopus
 
dc.subjectAdaptive meshing
 
dc.subjectHeterogeneous object
 
dc.subjectMaterial quadtree
 
dc.subjectQuadrant
 
dc.titleAdaptive meshing of 2D heterogeneous objects using material quadtree
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong