Semi-analytical representation of stress singularities as occurring in cracks in anisotropic multi-materials with the scaled boundary finite-element method
By Chongmin Song, J. Wolf. 2002
195 citations recorded by the source corpus.
The scaled boundary finite-element method, a semi-analytical boundary-element method based on finite elements, is applied to fracture mechanics problems. Only the actual boundary of the body, but not the straight crack faces and material interfaces passing through the crack tip, is spatially discretized with finite elements, leading to a reduction of the spatial dimension by one. In the radial direction the displacements follow from the analytical solution without any a priori assumption. The boundary condition on the crack faces and material interfaces are satisfied exactly. In this boundary-element method based on finite elements, no fundamental solution is required, which permits an efficient analysis of anisotropic material and avoids singular integrals. The scaled boundary finite-element method thus permits an accurate representation of singularities in the radial direction using analytical functions.
Subfields: Civil and Structural Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/59baecf6b2ff3b012bef38eedca2726050b774c7
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- E. Ooi
- Francis Tin-Loi
- Chongmin Song
- Zhenjun Yang
- Sundararajan Natarajan
- Stéphane P.A. Bordas
- I. Chiong
- Wei Gao
In Mechanics of Materials
- E. Ooi
- Francis Tin-Loi
- Chongmin Song
- Zhenjun Yang
- Sundararajan Natarajan
- I. Chiong
- Wei Gao
- Stéphane P.A. Bordas
Citations in the corpus
- Polygon scaled boundary finite elements for crack propagation modelling (2012, background): “Calculation of stress intensity factors The SIFs can be directly extracted from the semi-analytical solutions of displacements [34] or stresses [35].”
- A super‐element for crack analysis in the time domain (2004, methodology): “The scaled boundary finite-element method is applied to the static analysis of cracks in anisotropic multi-materials [19].”