Evaluation of power-logarithmic singularities,T-stresses and higher order terms of in-plane singular stress fields at cracks and multi-material corners
By Chongmin Song. 2005
115 citations recorded by the source corpus.
The scaled boundary finite-element method is extended to analyze the in-plane singular stress fields at cracks and multi-material corners. A complete singular stress field is represented semi-analytically as a series of matrix power functions of the radial coordinate originating from the singular point. This method is capable of directly evaluating orders of singularity, stress intensity factors, T-stresses, higher order terms, angular distributions of stresses for each term and, if present, power-logarithmic singularities. In this method, the singular functions are represented analytically and are not evaluated close to the singular point. Numerical examples are calculated to demonstrate the simplicity and to evaluate the accuracy of the scaled boundary finite-element method.
Subfields: Civil and Structural Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/e804fc121768a0071f81859c1080d733b771f601
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In Civil and Structural Engineering
- E. Ooi
- Francis Tin-Loi
- Chongmin Song
- I. Chiong
- Sundararajan Natarajan
- Stéphane P.A. Bordas
- A. Deeks
- T. Vu
In Mechanics of Materials
- E. Ooi
- Francis Tin-Loi
- Chongmin Song
- I. Chiong
- Sundararajan Natarajan
- Stéphane P.A. Bordas
- A. Deeks
- T. Vu
Citations in the corpus
- Scaled boundary polygons with application to fracture analysis of functionally graded materials (2014, methodology): “Compared to the displacement solutions, the stress solutions are more general and can be generalized for other types of singularities, such as those in notches and material junctions [34].”