Topological derivative applied to cavity identification from elastodynamic surface measurements

Marc Bonnet, Bojan B. Guzina

Research output: Contribution to journalArticlepeer-review

Abstract

This article is concerned with the use of topological derivative as a tool for preliminary elastic-wave probing of bounded or unbounded solids for buried objects. A formulation for computing the topological derivative field, based on an adjoint solution, is presented. A set of numerical results is included to illustrate the utility of topological derivative for outlining the cavity location and size prior to doing an actual inversion of measurements. The results presented here were obtained from a BIE solution, but the proposed methodology is applicable to other computational platforms such as the finite element method.

Original languageEnglish (US)
Pages (from-to)425-436
Number of pages12
JournalRevue Europeenne des Elements
Volume13
Issue number5-7
DOIs
StatePublished - 2004
Externally publishedYes

Bibliographical note

Funding Information:
This research is currently supported by a CNRS-NSF cooperation grant. In addition, special thanks are extended to École Polytechnique for providing a Visiting Scientist appointment to B. Guzina, and to MTS Systems Corporation for funding visits by M. Bonnet at the University of Minnesota as a MTS Visiting Professor.

Keywords

  • Adjoint field method
  • Cavity identification
  • Elastodynamics
  • Inverse scattering
  • Shape

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