Crack nucleation sensitivity analysis
โ Scribed by N. Van Goethem; A. A. Novotny
- Book ID
- 102511387
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 292 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1313
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โฆ Synopsis
A simple analytical expression for crack nucleation sensitivity analysis is proposed relying on the concept of topological derivative and applied within a two-dimensional linear elastic fracture mechanics theory (LEFM). In particular, the topological asymptotic expansion of the total potential energy together with a Griffith-type energy of an elastic cracked body is calculated. As a main result, we derive a crack nucleation criterion based on the topological derivative and a criterion for determining the direction of crack growth based on the topological gradient. The proposed methodology leads to an axiomatic approach of crack nucleation sensitivity analysis.
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