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A new hybrid finite element approach for three-dimensional elastic problems

Cao, Changyong; Qin, Qing Hua; Yu, Aibing

Description

A new fundamental solution based finite element method (HFS-FEM) is pre- sented for analyzing three-dimensional (3D) elastic problems with body forces in this paper. It begins with deriving formulations of 3D HFS-FEM for elastic problems without body force and then the body force term is handled by means of the method of particular solution and radial basis function approximation. In our analysis, the homogeneous solution is obtained using the proposed HFS-FEM and the particu- lar solution...[Show more]

dc.contributor.authorCao, Changyong
dc.contributor.authorQin, Qing Hua
dc.contributor.authorYu, Aibing
dc.date.accessioned2015-12-10T23:16:52Z
dc.date.available2015-12-10T23:16:52Z
dc.identifier.issn0373-2029
dc.identifier.urihttp://hdl.handle.net/1885/65248
dc.description.abstractA new fundamental solution based finite element method (HFS-FEM) is pre- sented for analyzing three-dimensional (3D) elastic problems with body forces in this paper. It begins with deriving formulations of 3D HFS-FEM for elastic problems without body force and then the body force term is handled by means of the method of particular solution and radial basis function approximation. In our analysis, the homogeneous solution is obtained using the proposed HFS-FEM and the particu- lar solution associated with the body force is approximated by radial basis functions. Several standard tests and numerical examples are considered to assess the capability and performance of the proposed method and elements. It is found that, comparing with conventional FEM (ABAQUS), the proposed method can achieve higher accu- racy and efficiency when same element meshes are used. It is also found that the elements associated with this method are not very sensitive to mesh distortion and can be employed for problems involving nearly incompressible materials. This new method seems to be promising to deal with problems involving generalized body force, complex geometry, stress concentration and multi-materials.
dc.publisherPolish Scientific Publishers PWN
dc.sourceArchives of Mechanics
dc.subjectKeywords: 3D elastic-ity; Body force; Fundamental solution; Hybrid finite element method (FEM); Particular solution; Radial basis function (RBF)
dc.titleA new hybrid finite element approach for three-dimensional elastic problems
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume64
dc.date.issued2012
local.identifier.absfor020300 - CLASSICAL PHYSICS
local.identifier.ariespublicationf5625xPUB1077
local.type.statusPublished Version
local.contributor.affiliationCao, Changyong, College of Engineering and Computer Science, ANU
local.contributor.affiliationQin, Qing Hua, College of Engineering and Computer Science, ANU
local.contributor.affiliationYU, A., University of New South Wales
local.bibliographicCitation.issue3
local.bibliographicCitation.startpage261
local.bibliographicCitation.lastpage292
dc.date.updated2016-02-24T08:37:10Z
local.identifier.scopusID2-s2.0-84863893502
local.identifier.thomsonID000305669200002
CollectionsANU Research Publications

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