Qualitative identification of cracks using 3D transient elastodynamic topological derivative: formulation and FE implementationReportar como inadecuado




Qualitative identification of cracks using 3D transient elastodynamic topological derivative: formulation and FE implementation - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 LMS - Laboratoire de mécanique des solides 2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation Inria Saclay - Ile de France, ENSTA ParisTech UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231

Abstract : A time-domain topological derivative TD approach is developed for transient elastic-wave imaging of buried cracks. The TD, which quantifies the sensitivity of the misfit cost functional to the creation at a specified location of an infinitesimal trial crack, is expressed in terms of the time convolution of the free field and an adjoint field as a function of that specified location and of the trial crack shape. Following previous studies on cavity identification in similar conditions, the TD field is here considered as a natural and computationally efficient approach for defining a crack location indicator function. This study emphasizes the implementation and exploitation of TD fields using the standard displacement-based FEM, a straightforward exploitation of the relevant sensitivity formulation established here. Results on several numerical experiments on 3D elastodynamic and acoustic configurations are reported and discussed, allowing to assess and highlight many features of the proposed TD-based fast qualitative crack identification, including its ability to identify multiple cracks and its robustness against data noise.





Autor: Cédric Bellis - Marc Bonnet -

Fuente: https://hal.archives-ouvertes.fr/



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