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Journal of Elasticity
Erschienen in: Journal of Elasticity 2/2017

31.01.2017

Two-Dimensional Elastic Scattering Coefficients and Enhancement of Nearly Elastic Cloaking

Erschienen in: Journal of Elasticity | Ausgabe 2/2017

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Abstract

The concept of scattering coefficients has played a pivotal role in a broad range of inverse scattering and imaging problems in acoustic, and electromagnetic media. In view of their promising applications in inverse problems related to mathematical imaging and elastic cloaking, the notion of elastic scattering coefficients of an inclusion is presented from the perspective of boundary layer potentials and a few properties are discussed. A reconstruction algorithm is developed and analyzed for extracting the elastic scattering coefficients from multi-static response measurements of the scattered field in order to cater to inverse scattering problems. The decay rate, stability and error analyses, and the estimate of maximal resolving order in terms of the signal-to-noise ratio are discussed. Moreover, scattering-coefficients-vanishing structures are designed and their utility for enhancement of nearly elastic cloaking is elucidated.
Vorheriger Artikel Effect of Intrinsic Twist and Orthotropy on Extension–Twist–Inflation Coupling in Compressible Circular Tubes
Nächster Artikel Nonlocal Force Equilibrium Condition for Non-Simple Materials

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Metadaten
Titel
Two-Dimensional Elastic Scattering Coefficients and Enhancement of Nearly Elastic Cloaking
Publikationsdatum
31.01.2017
Erschienen in
Journal of Elasticity / Ausgabe 2/2017
Print ISSN: 0374-3535
Elektronische ISSN: 1573-2681
DOI
https://doi.org/10.1007/s10659-017-9624-7

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