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Identification of cracks in three-dimensional bodies by many boundary measurements

Matthias Eller

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Let be a three-dimensional body with an interior two-dimensional crack . It will be shown that the location and size of the crack is uniquely determined by measurements on the boundary of . Moreover, the physical behaviour of the crack will be identified. Our model is the following. Inside the body, with the exception of the crack, we assume a harmonic potential. A current flux will be implemented on and we measure the voltage potential there.


PACS

62.20.M- Structural failure of materials

02.30.Sa Functional analysis

02.30.Zz Inverse problems

02.30.Rz Integral equations

02.30.Jr Partial differential equations

MSC

35R30 Inverse problems (undetermined coefficients, etc.) for PDE

78A46 Inverse scattering problems

35S15 Boundary value problems for PsDO

35N15 bar partial-Neumann problem and generalizations; formal complexes (See also 32W05, 32W10, 58J10)

Subjects

Mathematical physics

Condensed matter: structural, mechanical & thermal

Dates

Issue 4 (August 1996)

Received 22 January 1996, in final form 30 April 1996



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