- Title
- Evaluation of stress intensity factors on cracked functionally graded materials using polygons modelled by the scaled boundary finite element method
- Creator
- Ooi, Ean Tat; Chiong, Irene; Song, Chongmin
- Date
- 2013
- Type
- Text; Conference proceedings
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/103387
- Identifier
- vital:10919
- Identifier
- ISBN:9780415633185
- Abstract
- Functionally graded materials are a relatively newclass of composite materialswhere its material properties are defined by a continuous function on the spatial coordinates. Its use in engineering practice is increasingly popular due to its superior mechanical and thermo-mechanical properties. Understanding the behaviour of cracks in functionally graded materials is important in the assessment of their structural integrity. This study develops a novel approach using polygon elements, which are modelled by the scaled boundary finite element method, to analyse the fracture behaviour in functionally graded materials. The scaled boundary finite element equations are reformulated in terms of nodal shape functions. Each polygon is then treated using standard finite element procedures. The non-uniform material properties are locally represented by a polynomial fit in the element formulation. This formulation still inherits all the advantages of the scaled boundary finite element method. Orders of singularities and hence, stress intensity factors can be computed accurately using only singular modes in the scaled boundary finite element solution without nodal enrichment functions. Mesh refinement at the crack tip is significantly less compared to that required in standard finite element method and is only necessary to model the graded material properties throughout the computational domain. The efficiency of the method in evaluating stress intensity factors are demonstrated using a few numerical examples. © 2013 Taylor & Francis Group.; From Materials to Structures: Advancement Through Innovation - Proceedings of the 22nd Australasian Conference on the Mechanics of Structures and Materials, ACMSM 2012
- Relation
- 22nd Australasian Conference on the Mechanics of Structures and Materials, ACMSM 2012; Sydney, NSW; Australia; 11th-14th Dec, 2012 published in From Materials to Structures: Advancement Through Innovation - Proceedings of the 22nd Australasian Conference on the Mechanics of Structures and Materials, ACMSM p. 201-206
- Rights
- This metadata is freely available under a CCO license
- Subject
- Computational domains; Continuous functions; Engineering practices; Finite element equations; Finite element solution; Mechanical and thermo-mechanical properties; Scaled boundary finite element method; Standard finite element; Computational efficiency; Crack tips; Cracks; Finite element method; Fracture mechanics; Function evaluation; Functionally graded materials; Geometry; Mechanical properties; Stress intensity factors; Beams and girders
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