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Crack nucleation sensitivity analysis

โœ 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

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โœฆ 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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