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IssuesArchive of Issues2023-9pp.3120-3131

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Hadi Dehghan Manshadi, Alireza Mirjalili, and HamidReza Amiri, "Qualitative Defects Detection in Plane Linear Piezoelastic Media Using Linear Sampling Method," Mech. Solids. 58 (9), 3120-3131 (2023)
Year 2023 Volume 58 Number 9 Pages 3120-3131
DOI 10.3103/S0025654423601660
Title Qualitative Defects Detection in Plane Linear Piezoelastic Media Using Linear Sampling Method
Author(s) Hadi Dehghan Manshadi (Department of Civil Engineering, Yazd Branch, Islamic Azad University, Yazd, Iran, sh.manshadi@iau.ac.ir)
Alireza Mirjalili (Department of Civil Engineering, Yazd Branch, Islamic Azad University, Yazd, Iran)
HamidReza Amiri (Department of Civil Engineering, Yazd Branch, Islamic Azad University, Yazd, Iran)
Abstract In this paper, the linear sampling method is introduced for cavity detection in a two dimensional (2D) piezoelastic media using measurement of data on the boundary. This method is categorized as a qualitative approach to image the geometrical features of unknown targets. Although this method has been used in the context of inverse problems such as acoustics, electromagnetism and elastostatic, there is no specific attempt to apply this method to identification of cavities in piezoelastic media. This study emphasizes the implementation of the linear sampling method coupled with the finite element method (FEM). A set of numerical simulations on two-dimensional problems is presented to highlight many effective features of the proposed qualitative identification method.
Keywords qualitative inverse problems, linear sampling method, piezoelastic media, cavity detection, finite element method
Received 28 August 2023Revised 29 November 2023Accepted 09 December 2023
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