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Scattering theorems of elastic waves for a thermoelastic body
Author(s) -
Athanasiadou E.,
Sevroglou V.,
Zoi S.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4051
Subject(s) - thermoelastic damping , isotropy , mathematics , mathematical analysis , scattering , reciprocity (cultural anthropology) , plane wave , plane (geometry) , wave equation , classical mechanics , field (mathematics) , geometry , physics , thermal , optics , pure mathematics , psychology , social psychology , meteorology
In the present work, the scattering problem of an elastic wave by a penetrable thermoelastic body in an isotropic and homogeneous elastic medium is considered. The corresponding scattering problem is formulated in a suitable compact form, and taking into account the physical parameters of the thermoelastic body and integral representations for the total exterior elastic and the total interior thermoelastic field are presented. Using asymptotic analysis of the fundamental solution of the Navier equation, expressions of the far‐field patterns are obtained, and reciprocity theorems for plane and spherical wave incidence are established. Finally, a general scattering theorem for plane wave incidence is also presented. Copyright © 2016 John Wiley & Sons, Ltd.