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Cavity/Inclusion Detection in Plane Linear Elastic Bodies Using Linear Sampling Method

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Abstract

In this paper, solution of inverse problems in elastostatic fields is investigated. For this purpose, we propose a qualitative inverse approach based on linear sampling method (LSM) for cavity/inclusion detection in a two-dimensional (2D) isotropic linear elastic body using measurement of data on the boundary. The LSM is an effective approach to image the geometrical features of unknown targets. Although the LSM has been used in the context of inverse scattering problems such as acoustics, and electromagnetism, there is no specific attempt to apply this method for identification of cavities/inclusions in inverse elastostatic problems. This study emphasizes the implementation of the LSM coupled with the finite element method (FEM). A set of numerical simulations on 2D elastostatic problems is presented to highlight many effective features of the proposed LSM fast qualitative identification method.

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Authors and Affiliations

  1. Faculty of Civil and Environmental Engineering, Tarbiat Modares University, P.O. Box 14115-397, Tehran, Iran

    S. H. Dehghan Manshadi & N. Khaji

  2. Department of Civil Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran

    M. Rahimian

Authors
  1. S. H. Dehghan Manshadi
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  2. N. Khaji
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  3. M. Rahimian
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Correspondence to N. Khaji.

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Dehghan Manshadi, S.H., Khaji, N. & Rahimian, M. Cavity/Inclusion Detection in Plane Linear Elastic Bodies Using Linear Sampling Method. J Nondestruct Eval 33, 93–103 (2014). https://doi.org/10.1007/s10921-013-0206-8

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  • DOI: https://doi.org/10.1007/s10921-013-0206-8

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