- Title
- A dual scaled boundary finite element formulation over arbitrary faceted star convex polyhedra
- Creator
- Ooi, Ean Tat; Saputra, Albert; Natarajan, Sundararajan; Ooi, Ean Hin; Song, Chongmin
- Date
- 2020
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/172407
- Identifier
- vital:14495
- Identifier
-
https://doi.org/10.1007/s00466-020-01839-9
- Identifier
- ISBN:0178-7675 (ISSN)
- Abstract
- A novel technique to formulate arbritrary faceted polyhedral elements in three-dimensions is presented. The formulation is applicable for arbitrary faceted polyhedra, provided that a scaling requirement is satisfied and the polyhedron facets are planar. A triangulation process can be applied to non-planar facets to generate an admissible geometry. The formulation adopts two separate scaled boundary coordinate systems with respect to: (i) a scaling centre located within a polyhedron and; (ii) a scaling centre on a polyhedron’s facets. The polyhedron geometry is scaled with respect to both the scaling centres. Polygonal shape functions are derived using the scaled boundary finite element method on the polyhedron facets. The stiffness matrix of a polyhedron is obtained semi-analytically. Numerical integration is required only for the line elements that discretise the polyhedron boundaries. The new formulation passes the patch test. Application of the new formulation in computational solid mechanics is demonstrated using a few numerical benchmarks. © 2020, Springer-Verlag GmbH Germany, part of Springer Nature.
- Publisher
- Springer
- Relation
- Computational Mechanics Vol. 66, no. 1 (2020), p. 27-47
- Rights
- Copyright © Springer-Verlag GmbH Germany, part of Springer Nature 2020
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0905 Civil Engineering; 0913 Mechanical Engineering; 0915 Interdisciplinary Engineering; Octree; Polyhedra element; Scaled boundary finite element method; Shape functions
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