- Title
- A scaled boundary finite element formulation over arbitrary faceted star convex polyhedra
- Creator
- Natarajan, Sundararajan; Ooi, Ean Tat; Saputra, Albert; Song, Chongmin
- Date
- 2017
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/157560
- Identifier
- vital:11652
- Identifier
-
https://doi.org/10.1016/j.enganabound.2017.03.007
- Identifier
- ISSN:0955-7997
- Abstract
- In this paper, a displacement based finite element framework for general three-dimensional convex polyhedra is presented. The method is based on a semi-analytical framework, the scaled boundary finite element method. The method relies on the definition of a scaling center from which the entire boundary is visible. The salient feature of the method is that the discretizations are restricted to the surfaces of the polyhedron, thus reducing the dimensionality of the problem by one. Hence, an explicit form of the shape functions inside the polyhedron is not required. Conforming shape functions defined over arbitrary polygon, such as the Wachpress interpolants are used over each surface of the polyhedron. Analytical integration is employed within the polyhedron. The proposed method passes patch test to machine precision. The convergence and the accuracy properties of the method is discussed by solving few benchmark problems in linear elasticity. © 2017 Elsevier Ltd
- Publisher
- Elsevier Ltd
- Relation
- Engineering Analysis with Boundary Elements Vol. 80, no. (2017), p. 218-229
- Rights
- Copyright © 2017 Elsevier Ltd.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0905 Civil Engineering; 0913 Mechanical Engineering; Boundary integration; Polygonal finite element method; Polyhedra; Scaled boundary finite element method; Wachspress shape functions
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