- Title
- A scaled boundary finite element formulation with bubble functions for elasto-static analyses of functionally graded materials
- Creator
- Ooi, Ean Tat; Song, Chongmin; Natarajan, Sundararajan
- Date
- 2017
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/164131
- Identifier
- vital:13019
- Identifier
-
https://doi.org/10.1007/s00466-017-1443-y
- Identifier
- ISBN:0178-7675
- Abstract
- This manuscript presents an extension of the recently-developed high order complete scaled boundary shape functions to model elasto-static problems in functionally graded materials. Both isotropic and orthotropic functionally graded materials are modelled. The high order complete properties of the shape functions are realized through the introduction of bubble-like functions derived from the equilibrium condition of a polygon subjected to body loads. The bubble functions preserve the displacement compatibility between the elements in the mesh. The heterogeneity resulting from the material gradient introduces additional terms in the polygon stiffness matrix that are integrated analytically. Few numerical benchmarks were used to validate the developed formulation. The high order completeness property of the bubble functions result in superior accuracy and convergence rates for generic elasto-static and fracture problems involving functionally graded materials. © 2017, Springer-Verlag GmbH Germany.
- Publisher
- Springer Verlag
- Relation
- Computational Mechanics Vol. 60, no. 6 (2017), p. 943-967
- Rights
- Copyright © 2017, Springer-Verlag GmbH Germany.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0905 Civil Engineering; 0913 Mechanical Engineering; 0915 Interdisciplinary Engineering; Bubble functions; Functionally graded materials; Heterogeneous; Polygon elements; Scaled boundary finite element method; Shape functions
- Full Text
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