Low-frequency expansions for a penetrable ellipsoidal scatterer in an elastic medium

DOI10.1007/BF00128904zbMath0716.73019OpenAlexW2036457113WikidataQ56967952 ScholiaQ56967952MaRDI QIDQ753547

Kiriakie Kiriaki

Publication date: 1989

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00128904

zbMATH Keywords

sequence of potential problemsExplicit closed-form solutionsisotropic and homogeneous elastic mediumlow-frequency regionPapkovich-Grodski-Neuber potentialsplane longitudinal or transverse wavetime-dependent Navier equationzeroth and first- order approximations

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (2)

On the scattering amplitudes for elastic waves ⋮ The coated thermoelastic body within a low-frequency elastodynamic field

Cites Work

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• Estimates for low-frequency elastic scattering by a rigid body
• 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
• The inverse scattering problem for the soft ellipsoid
• LOW-FREQUENCY SCATTERING IN ELASTICITY
• Huygens’ principle, radiation conditions, and integral formulas for the scattering of elastic waves
• DIFFRACTION OF ELASTIC WAVES BY A RIGID INCLUSION
• Certain Transmission and Reflection Theorems

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