The low-frequency scattering theory for a penetrable scatterer with an impenetrable core in an elastic medium

DOI10.1016/0020-7225(88)90121-8zbMath0676.73014OpenAlexW2037576074MaRDI QIDQ1123048

Kiriakie Kiriaki, Demosthenes Polyzos

Publication date: 1988

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(88)90121-8

zbMATH Keywords

scattering cross sectionPapkovich-Grodski-Neuber potentialshomogeneous elastic mediumtransverse plane waveinfinite isotropicIntegral representations for the total displacement fieldlow-frequency expansionsnormalized scattering amplitudessequence of elastostatic problemstime harmonic longitudinal

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (3)

Scattering of a Spherical Dyadic Field by a Small Rigid Sphere ⋮ The coated thermoelastic body within a low-frequency elastodynamic field ⋮ Low-frequency scattering by a penetrable body with an eccentric soft or hard core

Cites Work

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• Some theorems in classical elastodynamics
• The ellipsoidal cavity in the presence of a low-frequency elastic wave
• The low-frequency theory of elastic wave scattering
• Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid
• Scattering of a Plane Transverse Wave by a Spherical Obstacle in an Elastic Medium
• The rigid ellipsoid in the presence of a low frequency elastic wave
• A Neumann series representation for solutions to boundary-value problems in dynamic elasticity
• Huygens’ principle, radiation conditions, and integral formulas for the scattering of elastic waves
• DIFFRACTION OF ELASTIC WAVES BY A RIGID ELLIPSOID
• Certain Transmission and Reflection Theorems

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