Journal ArticleDOI
Formal aspects of the theory of the scattering of ultrasound by flaws in elastic materials
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In this paper, an integral equation is used to derive formal expressions for the scattering of a plane wave from a single homogeneous flaw embedded in an isotropic elastic medium, and an optical theorem is also derived.Abstract:
An integral equation is used to derive formal expressions for the scattering of a plane wave from a single homogeneous flaw embedded in an isotropic elastic medium. Expressions are found for the scattered amplitudes and differential cross sections. An optical theorem is also derived.read more
Citations
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Scattering characteristics of elastic waves by an elastic heterogeneity
Ru-Shan Wu,Keiiti Aki +1 more
TL;DR: In this article, an elastic wave scattering by a general elastic heterogeneity having slightly different density and elastic constants from the surrounding medium is formulated using the equivalent source method and Born approximation using the Born approximation.
Book
Reciprocity in Elastodynamics
TL;DR: In this article, the authors present a novel method to solve for wave fields, shedding new light on the use of reciprocity relations for dynamic fields in an elastic body, which is relevant to several fields in engineering and applied physics such as medical imaging and non-destructive evaluation, acoustic microscopy, seismology, exploratory geophysics, structural acoustics, and the determination of material properties by ultrasonic techniques.
Journal ArticleDOI
Ultrasonic classification of imperfect interfaces
TL;DR: In this paper, it is shown that the ratio between the normal and transverse interfacial stiffnesses can be used to classify the interface imperfections, e.g., kissing, partial, and slip bonds.
Journal ArticleDOI
Seismic velocity anisotropy in a medium containing oriented cracks
TL;DR: In this paper, a new method was developed for calculating effective elastic parameters of a medium containing oblate spheroidal cracks having parallel planes, free from the restrictions of isotropic matrix material and low crack density.
Journal ArticleDOI
The application of reciprocity theory to scattering of acoustic waves by flaws
TL;DR: In this article, the reciprocity theorem and the scattering matrix formalism of electromagnetic theory have been adapted to obtain formulas for scattering of acoustic waves from flaws, which are applied, in the Born approximation, to determine scattering of plane waves by small flaws, and with an elastostatic approximation to find the scattering from a flat elliptical crack.
References
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Book
Diffraction of elastic waves and dynamic stress concentrations
Chao-Chow Mow,Yih-Hsing Pao +1 more
TL;DR: In this article, the authors systematically present methods of solution for both steady-state and transient loading on various obstacles, and also numerical results of dynamic stress concentration on obstacles of different geometries.
Journal ArticleDOI
Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid
Chung F Ying,Rohn Truell +1 more
TL;DR: In this paper, a spherical obstacle of a plane longitudinal wave propagating in an isotropically elastic solid is computed, and the total scattered energy is derived for three special types of obstacle: a rigid sphere, a spherical cavity, and a spherical rigid sphere.
Journal ArticleDOI
Scattering of a Plane Transverse Wave by a Spherical Obstacle in an Elastic Medium
TL;DR: In this paper, an analysis of the scattering of transverse elastic waves by spherical obstacles is presented, where the scatterer is taken to be (a) a cavity, (b) a rigid sphere, (c) a fluid-filled cavity, and (d) to consist of an elastic material with properties different from those of the surrounding material.
Journal ArticleDOI
Numerical Computations of Elastic Scattering Cross Sections
Gregert Johnson,Rohn Truell +1 more
TL;DR: In this paper, a brief review is given of the calculation of cross section expressions for the scattering of an elastic wave in an elastic medium, with scatterers that are elastic and spherical in shape.
Journal ArticleDOI
Review of Theories of Scattering of Elastic Waves by Cracks
TL;DR: The detection of cracks with the aid of ultrasonics is an important non-destructive evaluation (NDE) technique as discussed by the authors, and the corresponding theoretical problem of the scattering of elastic waves by cracks has alsu been studied by scientists working in many different fields.