Reconstruction of round voids in the elastic half-space: Antiplane problem

Sumbatyan, Mezhlum A.; Tibullo, Vincenzo; Zampoli, Vittorio

doi:https://doi.org/10.1155/MPE/2006/49797

Mathematical Problems in Engineering

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Volume 2006 | Article ID 049797 | https://doi.org/10.1155/MPE/2006/49797

Reconstruction of round voids in the elastic half-space: Antiplane problem

Mezhlum A. Sumbatyan,¹Vincenzo Tibullo,²and Vittorio Zampoli²

Received15 Feb 2005

Revised24 May 2005

Accepted12 Jul 2005

Published09 Apr 2006

Abstract

We study the reconstruction of geometry (position and size) of round voids located in the elastic half-space, in frames of antiplane two-dimensional problem. We assume that a known point force is applied to the boundary surface of the half-space, and we can measure the shape of the surface over a certain finite-length interval. Then, if the geometry of the defect is unknown, we construct an algorithm to restore its position and size. Some numerical examples demonstrate a good stability of the proposed algorithm.

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Copyright

Copyright © 2006 Mezhlum A. Sumbatyan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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