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Journal Article•DOI•

Matrix techniques for modeling ultrasonic waves in multilayered media

TL;DR: This paper presents a review of the main developments of the matrix techniques, and their use in response and modal models, with emphasis on ultrasonics applications.
Abstract: Research into ultrasonic NDE techniques for the inspection of multilayered structures relies strongly on the use of modeling tools which calculate dispersion curves and reflection and transmission spectra. These predictions are essential to enable the best inspection strategies to be identified and their sensitivities to be evaluated. General purpose multilayer modeling tools may be developed from a number of matrix formulations which have evolved in the latter half of this century and there is now a formidable number of publications on the subject. This paper presents a review of the main developments of the matrix techniques, and their use in response and modal models, with emphasis on ultrasonics applications. >
Citations
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Journal Article•DOI•
Zhongqing Su1, Lin Ye1, Ye Lu1•
TL;DR: A comprehensive review on the state of the art of Lamb wave-based damage identification approaches for composite structures, addressing the advances and achievements in these techniques in the past decades, is provided in this paper.

1,350 citations

Book•
11 Aug 2014
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.
Abstract: Preface Acknowledgments 1. Introduction 2. Dispersion principles 3. Unbounded isotropic and anisotropic media 4. Reflection and refraction 5. Oblique incidence 6. Waves in plates 7. Surface and subsurface waves 8. Finite element method for guided wave mechanics 9. The semi-analytical finite element method (SAFE) 10. Guided waves in hollow cylinders 11. Circumferential guided waves 12. Guided waves in layered structures 13. Source influence on guided wave excitation 14. Horizontal shear 15. Guided waves in anisotropic media 16. Guided wave phased arrays in piping 17. Guided waves in viscoelastic media 18. Ultrasonic vibrations 19. Guided wave array transducers 20. Introduction to guided wave nonlinear methods 21. Guided wave imaging methods Appendix A: ultrasonic nondestructive testing principles, analysis and display technology Appendix B: basic formulas and concepts in the theory of elasticity Appendix C: physically based signal processing concepts for guided waves Appendix D: guided wave mode and frequency selection tips.

823 citations

Journal Article•DOI•
TL;DR: In this article, the authors provide a vision of ultrasonic guided wave inspection potential as we move forward into the new millennium and provide a brief description of the sensor and software technology that will make ultrasonic guidance wave inspection commonplace in the next century.
Abstract: Ultrasonic guided wave inspection is expanding rapidly to many different areas of manufacturing and in-service inspection. The purpose of this paper is to provide a vision of ultrasonic guided wave inspection potential aswe move forward into the new millennium. An increased understanding of the basic physics and wave mechanics associated with guided wave inspection has led to an increase in practical nondestructive evaluation and inspection problems. Some fundamental concepts and a number of different applications that are currently being considered will be presented in the paper along with a brief description of the sensor and software technology that will make ultrasonic guided wave inspection commonplace in the next century.

623 citations

Journal Article•DOI•
TL;DR: In this paper, the authors present a review of the studies of the propagation of the waves and their sensitivity to defects which have been conducted in order to provide a sound scientific basis for the method.

581 citations

Proceedings Article•DOI•
TL;DR: In this article, a semi-analytical finite element (SAFE) method for modeling wave propagation in waveguides of arbitrary cross-section is proposed, and the dispersive solutions are obtained in terms of phase velocity, group velocity, energy velocity, attenuation and cross-sectional mode shapes.

534 citations


Cites methods from "Matrix techniques for modeling ultr..."

  • ...Semi-Analytical Finite Element (SAFE) method, also referred as Spectral Finite Element (SFE) method, is a powerful technique that depicts advantages respect to the Finite Element Method and to the methods based on the superposition of bulk waves (SPBW), that include the popular matrix-based methods [1]....

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References
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Journal Article•DOI•

17,845 citations

Book•
01 Jan 1969
TL;DR: In this article, the authors propose a linearized theory of elasticity for tensors, which they call Linearized Theory of Elasticity (LTHE), which is based on tensors and elasticity.
Abstract: 1. Vectors and Tensors. 2. Strain and Deformation. 3. General Principles. 4. Constitutive Equations. 5. Fluid Mechanics. 6. Linearized Theory of Elasticity. Appendix I: Tensors. Appendix II: Orthogonal Curvilinear.

3,658 citations


"Matrix techniques for modeling ultr..." refers background or methods in this paper

  • ...A convenient way of presenting the solutions in vector form is by the Helmholtz method [77], in which longitudinal waves are described by a scalar function and shear waves by a vector function whose direction is normal to both the direction of wave propagation and the direction of particle motion:...

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  • ...for small-displacement dynamic behavior in ultrasonic NDE applications is the Kelvin-Voigt viscoelastic description in which a velocity-dependent damping force is added to the equation of motion for an infinitesimal element of the material [77]....

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Book•
01 Jan 1960

3,064 citations


"Matrix techniques for modeling ultr..." refers background in this paper

  • ...The development of the equations of motion for an infinite elastic solid has been covered in many texts [ 10 ], [11], [76]....

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Book Chapter•DOI•
TL;DR: In this paper, a matrix formalism developed by W. T. Thomson is used to obtain the phase velocity dispersion equations for elastic surface waves of Rayleigh and Love type on multilayered solid media.
Abstract: A matrix formalism developed by W. T. Thomson is used to obtain the phase velocity dispersion equations for elastic surface waves of Rayleigh and Love type on multilayered solid media. The method is used to compute phase and group velocities of Rayleigh waves for two assumed three-layer models and one two-layer model of the earth9s crust in the continents. The computed group velocity curves are compared with published values of the group velocities at various frequencies of Rayleigh waves over continental paths. The scatter of the observed values is larger than the difference between the three computed curves. It is believed that not all of this scatter is due to observational errors, but probably represents a real horizontal heterogeneity of the continental crusts.

2,310 citations


"Matrix techniques for modeling ultr..." refers background or methods in this paper

  • ...It therefore includes detailed descriptions of both the Transfer Matrix method (Thomson-Haskell) and the Global Matrix method....

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  • ...A small error in his derivation was corrected by Haskell [13]....

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  • ...This is essentially a simple description of the Thomson-Haskell technique....

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  • ...function [13], [14], [40], [46], [51], [61]....

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  • ...The original Thomson-Haskell matrices describe the fields in the layers in terms of plane waves whose amplitudes are constant in all directions....

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Book•
Herbert Kolsky1•
01 Jan 1963
TL;DR: A large and growing number of original papers on both the experimental and the theoretical aspects of stress wave propagation is appearing in the scientific literature, and two international conferences solely concerned with the subject have been held during the last five years as mentioned in this paper.
Abstract: A large and growing number of original papers on both the experimental and the theoretical aspects of stress wave propagation is appearing in the scientific literature, and two international conferences solely concerned with the subject have been held during the last five years. The purpose of this paper is to review recent experimental and theoretical advances in the propagation of deformation waves of arbitrary shape through elastic and anelastic solids, and also to attempt to outline the problems on which present efforts are being directed and to predict probable lines of future development.

2,063 citations