## Abstract The scaled boundary finite‐element method is a novel semi‐analytical technique, combining the advantages of the finite element and the boundary element methods with unique properties of its own. The method works by weakening the governing differential equations in one co‐ordinate direct
Modelling dynamic crack propagation using the scaled boundary finite element method
✍ Scribed by E. T. Ooi; Z. J. Yang
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 910 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.3177
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✦ Synopsis
Abstract
This study presents a novel application of the scaled boundary finite element method (SBFEM) to model dynamic crack propagation problems. Accurate dynamic stress intensity factors are extracted directly from the semi‐analytical solutions of SBFEM. They are then used in the dynamic fracture criteria to determine the crack‐tip position, velocity and propagation direction. A simple, yet flexible remeshing algorithm is used to accommodate crack propagation. Three dynamic crack propagation problems that include mode‐I and mix‐mode fracture are modelled. The results show good agreement with experimental and numerical results available in the literature. It is found that the developed method offers some advantages over conventional FEM in terms of accuracy, efficiency and ease of implementation. Copyright © 2011 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
## Abstract The scaled boundary finite element method is extended to solve problems of structural dynamics. The dynamic stiffness matrix of a bounded (finite) domain is obtained as a continued fraction solution for the scaled boundary finite element equation. The inertial effect at high frequencies
The scaled boundary ÿnite element method, alias the consistent inÿnitesimal ÿnite element cell method, is developed starting from the di usion equation. Only the boundary of the medium is discretized with surface ÿnite elements yielding a reduction of the spatial dimension by one. No fundamental sol