Cavity/Inclusion Detection in Plane Linear Elastic Bodies Using Linear Sampling Method
 S. H. Dehghan Manshadi,
 N. Khaji,
 M. Rahimian
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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 twodimensional (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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 Title
 Cavity/Inclusion Detection in Plane Linear Elastic Bodies Using Linear Sampling Method
 Journal

Journal of Nondestructive Evaluation
Volume 33, Issue 1 , pp 93103
 Cover Date
 20140301
 DOI
 10.1007/s1092101302068
 Print ISSN
 01959298
 Online ISSN
 15734862
 Publisher
 Springer US
 Additional Links
 Topics
 Keywords

 Qualitative inverse problems
 Linear sampling method
 Inverse elastostatic problems
 The finite element method
 Industry Sectors
 Authors

 S. H. Dehghan Manshadi ^{(1)}
 N. Khaji ^{(1)}
 M. Rahimian ^{(2)}
 Author Affiliations

 1. Faculty of Civil and Environmental Engineering, Tarbiat Modares University, P.O. Box 14115397, Tehran, Iran
 2. Department of Civil Engineering, University of Tehran, P.O. Box 111554563, Tehran, Iran