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Communication Dans Un Congrès Année : 2015

Higher-order expansion of misfit functional for defect identification in elastic solids

Résumé

In this work, least-squares functionals commonly used for defect identification are expanded in powers of the small radius of a trial inclusion, in the context of time-harmonic elastodynamics, generalizing to higher orders the concept of topological derivative. Such expansion , whose derivation and evaluation are facilitated by using an adjoint state, provides a basis for the quantitative estimation of flaws whereby a region of interest may be exhaustively probed at reasonable computational cost.
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Dates et versions

hal-01388731 , version 1 (27-10-2016)

Identifiants

  • HAL Id : hal-01388731 , version 1

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Marc Bonnet, Rémi Cornaggia. Higher-order expansion of misfit functional for defect identification in elastic solids. WAVES 2015 The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jul 2015, Karlsruhe, Germany. ⟨hal-01388731⟩
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