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Article Dans Une Revue Comptes Rendus Mécanique Année : 2009

Crack identification by 3D time-domain elastic or acoustic topological sensitivity

Cédric Bellis
Marc Bonnet

Résumé

The topological sensitivity analysis, based on the asymptotic behaviour of a cost functional associated with the creation of a small trial flaw in a defect-free solid, provides a computationally-fast, non-iterative approach for identifying flaws embedded in solids. This concept is here considered for crack identification using time-dependent measurements on the external boundary. The topological derivative of a cost function under the nucleation of a crack of infinitesimal size is established, in the framework of time-domain elasticity or acoustics. The simplicity and efficiency of the proposed formulation is enhanced by the recourse to an adjoint solution. Numerical results obtained on a 3-D elastodynamic example using the conventional FEM demonstrate the usefulness of the topological derivative as a crack indicator function.
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Dates et versions

hal-00371796 , version 1 (30-03-2009)
hal-00371796 , version 2 (26-04-2009)
hal-00371796 , version 3 (19-05-2009)

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Cédric Bellis, Marc Bonnet. Crack identification by 3D time-domain elastic or acoustic topological sensitivity. Comptes Rendus Mécanique, 2009, 337, pp.124-130. ⟨10.1016/j.crme.2009.03.015⟩. ⟨hal-00371796v3⟩
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