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1956
DOI: 10.1063/1.1722545
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Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid

Abstract: Scattering by a spherical obstacle of a plane longitudinal wave propagating in an isotropically elastic solid is computed. Expressions for the scattered wave and the total scattered energy are given. Three special types of obstacle—an isotropically elastic sphere, a spherical cavity, and a rigid sphere—are discussed in detail, especially for Rayleigh scattering. The result for the isotropically elastic sphere is compared with the well-known result of scattering of a plane wave propagating in an ideal fluid by … Show more

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Cited by 553 publications
(287 citation statements)
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“…Separation of variables in certain coordinate systems gives a solution in the form of an eigenfunction (special function) expansion for problems with simple penny-shaped cracks [1], cylindrical [2,3] or spherical [4,5] inclusions in an infinite full or an infinite half space. Semi-numerical techniques also predict elastic wave propagation for isotropic [6,7] or transversely isotropic [8,9] materials.…”
Section: Forward Problem and Model Reviewmentioning
confidence: 99%
“…Separation of variables in certain coordinate systems gives a solution in the form of an eigenfunction (special function) expansion for problems with simple penny-shaped cracks [1], cylindrical [2,3] or spherical [4,5] inclusions in an infinite full or an infinite half space. Semi-numerical techniques also predict elastic wave propagation for isotropic [6,7] or transversely isotropic [8,9] materials.…”
Section: Forward Problem and Model Reviewmentioning
confidence: 99%
“…A is a constant for a given material, Po is the density of material with no voids, g is dependent on the shear and longitudinal wave speed ratios [11), and E is the Young's modulus. For the calculations presented here, literature values were used for the T300 / 5208 uniaxial composite.…”
Section: A= 81t P~ 3 E2mentioning
confidence: 99%
“…More complex work has concentrated on a detailed analysis of the scattering occurring in porous, polycrystalline and two phase materials. For discrete scatterers in a homogenous matrix, the theory of Ying and Truell [18] describes the attenuation of longitudinal waves. An examples of the application of this theory is to the experimental data of Kinra et al [19] for a system of lead inclusions in an epoxy matrix.…”
Section: Scattering Modelsmentioning
confidence: 99%