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

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  • Mezhlum A. Sumbatyan
  • Vincenzo Tibullo
  • Vittorio Zampoli

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.

Suggested Citation

  • Mezhlum A. Sumbatyan & Vincenzo Tibullo & Vittorio Zampoli, 2006. "Reconstruction of round voids in the elastic half-space: Antiplane problem," Mathematical Problems in Engineering, Hindawi, vol. 2006, pages 1-12, April.
    • Handle: RePEc:hin:jnlmpe:049797
    DOI: 10.1155/MPE/2006/49797
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