Scattering Relations of Elastic Waves by a Multi-Layered Thermoelastic Body

Evagelia S. Athanasiadou (), Vassilios Sevroglou () and Stefania Zoi ()
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Evagelia S. Athanasiadou: National and Kapodistrian University of Athens
Vassilios Sevroglou: University of Piraeus
Stefania Zoi: National and Kapodistrian University of Athens

A chapter in Computational Mathematics and Variational Analysis, 2020, pp 1-23 from Springer

Abstract: Abstract The scattering problem of a time-harmonic dependent plane elastic wave by a multi-layered thermoelastic body in an isotropic and homogeneous elastic medium is considered. The direct scattering problem is formulated. Integral representations for the total exterior elastic field and the total interior thermoelastic fields as well as expressions for the far-field patterns are obtained containing the physical parameters of the interior thermoelastic layers. A reciprocity type theorem, a general type scattering theorem and an optical type theorem for plane wave incidence are presented and proved.

Keywords: Elastic medium; Multi-layered thermoelastic scatterer; Integral representations; Far-field patterns; Scattering theorems; 35P25; 74J20; 35J57; 74B05 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/978-3-030-44625-3_1

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