Journal of Nondestructive Evaluation

, Volume 33, Issue 1, pp 93-103

First online:

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

  • S. H. Dehghan ManshadiAffiliated withFaculty of Civil and Environmental Engineering, Tarbiat Modares University
  • , N. KhajiAffiliated withFaculty of Civil and Environmental Engineering, Tarbiat Modares University Email author 
  • , M. RahimianAffiliated withDepartment of Civil Engineering, University of Tehran

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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 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.


Qualitative inverse problems Linear sampling method Inverse elastostatic problems The finite element method