Crack detection by the topological gradient method

• Autorzy: Amstutz S. , Horchani I. , Masmoudi M.
• Języki publikacji: EN

Abstrakty

EN

The topological sensitivity analysis consists in studying the behavior of a shape functional when modifying the topology of the domain. In general, the perturbation under consideration is the creation of a small hole. In this paper, the topological asymptotic expansion is obtained for the Laplace equation with respect to the insertion of a short crack inside a plane domain. This result is illustrated by some numerical experiments in the context of crack detection.

Słowa kluczowe

EN

crack detection; topological sensitivity; topological gradient; Poisson equation

PL

wykrywanie pęknięć; wrażliwość topologiczna; gradient topologiczny; równanie Poissona

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 1
• Strony: 81--101
• Opis fizyczny: Bibliogr. 36 poz., wykr.

Twórcy

autor

Amstutz S.

• Fraunhofer-Institut fur Techno- und Wirtschaftsmathematik Gottlieb-Daimler-Str. Geb. 49, D-67663 Kaiserslautern, Germany

autor

Horchani I.

• ENIT-LAMSIN, BP 37 1002 Tunis Belvedere, Tunisie

autor

Masmoudi M.

• Laboratoire MIP (UMR 5640), Universite Paul Sabatier, UFR MIG, 118, route de Narbonne, 31062 Toulouse cedex 4, France

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