- Title
- Crack propagation modeling in functionally graded materials using polygon elements modeled by the scaled boundary finite element method
- Creator
- Ooi, Ean Tat; Guo, ShuHong; Song, Chongmin
- Date
- 2013
- Type
- Text; Conference proceedings
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/103427
- Identifier
- vital:10920
- Identifier
- ISBN:9780415633185
- Abstract
- Functionally graded materials (FGMs) are multi-phased composites that are specifically engineered so that their material properties vary continuously in a predetermined direction. The heterogeneity in FGMs results in superior fracture resistance, making them suitable for use as medical implants and components in nuclear, aerospace and electro-mechanical industries. The degree to which the fracture resistance of FGMs can be improved is usually not known a priori. Understanding their fracture behaviour provides insights to design better FGMs and enables quantitative assessment of the structural integrity in manufactured FGM products. A novel methodology is developed in this study to model crack propagation in FGMs. It uses high order polygon elements that are modelled by the scaled boundary finite element method. The displacement and stress fields in each polygon are expressed using scaled boundary shape functions and corresponding nodal displacements. Material heterogeneity is modelled by locally fitting a polynomial curve in terms of scaled boundary finite element coordinates over each polygon. The developed method is very efficient in modelling singular stress fields in the vicinity of cracks. Stress intensity factors are evaluated directly from the singular modes in the scaled boundary finite element solutions to determine the crack propagation direction.A simple local remeshing algorithm for polygons is developed to accommodate crack propagation. Fracture analyses of FGMs are conducted on three numerical examples to validate the methodology and demonstrate its salient features. Fracture parameters e.g. stress intensity factors, critical failure load and crack propagation paths of FGM specimens can be obtained from these analyses. © 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
- Publisher
- Taylor and Francis
- Relation
- 22nd Australasian Conference on the Mechanics of Structures and Materials, ACMSM 2012; Sydney, NSW; Australia; 11th-14th December 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. 133-138
- Rights
- © 2013 Taylor & Francis Group
- Rights
- This metadata is freely available under a CCO license
- Subject
- Crack propagation path; Critical failure loads; Displacement and stress fields; Finite element solution; Material heterogeneity; Quantitative assessments; Scaled boundary finite element method; Singular stress field; Crack propagation; Cracks; Finite element method; Fracture toughness; Functionally graded materials; Geometry; Polynomial approximation; Product design; Stress intensity factors; Structural design
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