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

### 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.author Cao, Changyong Qin, Qing Hua Yu, Aibing 2015-12-10T23:16:52Z 2015-12-10T23:16:52Z 0373-2029 http://hdl.handle.net/1885/65248 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 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. Polish Scientific Publishers PWN Archives of Mechanics Keywords: 3D elastic-ity; Body force; Fundamental solution; Hybrid finite element method (FEM); Particular solution; Radial basis function (RBF) A new hybrid finite element approach for three-dimensional elastic problems Journal article Imported from ARIES 64 2012 020300 - CLASSICAL PHYSICS f5625xPUB1077 Published Version Cao, Changyong, College of Engineering and Computer Science, ANU Qin, Qing Hua, College of Engineering and Computer Science, ANU YU, A., University of New South Wales 3 261 292 2016-02-24T08:37:10Z 2-s2.0-84863893502 000305669200002 ANU Research Publications

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