alexa Crack detection by the topological gradient method
Mathematics

Mathematics

Journal of Applied & Computational Mathematics

Author(s): Samuel Amstutz

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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

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This article was published in Control and Cybernetics and referenced in Journal of Applied & Computational Mathematics

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