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Ray methods for waves in elastic solids

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The article was published on 1981-01-01 and is currently open access. It has received 233 citations till now.

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Journal ArticleDOI

P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method

Jean Virieux
- 01 Apr 1986 - 
TL;DR: In this paper, a finite-difference method for modeling P-SV wave propagation in heterogeneous media is presented, which is an extension of the method I previously proposed for modeling SH-wave propagation by using velocity and stress in a discrete grid, where the stability condition and the P-wave phase velocity dispersion curve do not depend on the Poisson's ratio.
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Ultrasonic Guided Waves in Solid Media

TL;DR: The semi-analytical finite element method (SAFE) has been used for guided wave modeling as discussed by the authors, which has been shown to be useful in the analysis and display of non-destructive testing.
Journal ArticleDOI

Numerical modeling of elastic wave propagation and scattering with EFIT — elastodynamic finite integration technique

TL;DR: In this paper, the basic equations of EFIT, the Elastodynamic Finite Integration Technique, are formulated for anisotropic inhomogeneous media in 3D, and the discrete equations on a staggered grid resulting in a unique way to discretize material parameters, and evaluate stability conditions and consistency for isotropic homogeneous unbounded media.
Journal ArticleDOI

The reflection of the fundamental torsional mode from cracks and notches in pipes

TL;DR: A quantitative study of the reflection of the T(0,1) mode from defects in pipes in the frequency range 10-300 kHz has been carried out, finite element predictions being validated by experiments on selected cases.
Journal ArticleDOI

Three-dimensional imaging system based on Fourier transform synthetic aperture focusing technique

TL;DR: In this paper, the Fourier transform synthetic aperture focusing technique is used to yield a quantitative 3D image of defects residing in the homogeneous and isotropic bulk material. And the implementation of this algorithm into an ultrasonic imaging system is described, which mainly comprises an array processor and high-resolution graphics to display the three-dimensional reconstruction volume as a walk-through along three orthogonal planes.