Written by a group of acoustics and vibration specialists, this book studies the acoustic and vibrating phenomena that occur in diverse materials used for all kinds of purposes. The first part studies the fundamental aspects of propagation: analytical, numerical and experimental. The second part outlines industrial and medical applications. Covering a wide range of topics that associate materials science with acoustics, this will be of invaluable use to researchers, engineers, or practitioners in this field, as well as students in acoustics, physics, and mechanics.

Michel Bruneau is a professor at the University of Maine in France.

Foreword xvii

Preface xxi

PART 1. HOMOGENOUS AND HOMOGENOUS STRATIFIEDMEDIA: LINEARMODEL OF PROPAGATION 1

Chapter 1. Equations of Propagation 3
Jean-François DE BELLEVAL, Catherine POTEL and Philippe GATIGNOL

Chapter 2. Interaction of a Plane Wave and a Plane Interface 29
Philippe GATIGNOL, Catherine POTEL and Jean François DE BELLEVAL

Chapter 3. Propagation of Plane Waves in Multilayered Media 61
Catherine POTEL, Jean François DE BELLEVAL, Michel CASTAINGS and Philippe GATIGNOL

Chapter 4. Propagation in Continuously Stratified Media 97
Cécile BARON, Olivier PONCELET, Alexander SHUVALOV and Marc DESCHAMPS

Chapter 5. Modal Waves in Plane Structures 113
Philippe GATIGNOL, Catherine POTEL and Jean François DE BELLEVAL

PART 2. POROUS AND STRATIFIED POROUSMEDIA LINEAR MODELS OF PROPAGATION 147

Introduction to Part 2 149
Denis LAFARGE

Chapter 6. The Equivalent Fluid Model 153
Denis LAFARGE

Chapter 7. Biot’s Model 205
Denis LAFARGE

Chapter 8. Propagation Equations in the Time Domain 229
Zine EL ABIDINE FELLAH, Mohamed FELLAH and Claude DEPOLLIER

Chapter 9. Scattering in Porous Media 277
Denis LAFARGE

Chapter 10. Stratified Porous Media 285
Bruno BROUARD

Chapter 11. Surface Wave Propagation 317
Jean-François ALLARD and Michel HENRY

Chapter 12. The Finite Element Method for Porous Materials 327
Olivier DAZEL and Nicolas DAUCHEZ

PART 3. EXPERIMENTAL AND NUMERICAL METHODS 339

Chapter 13. Transducer for Bulk Waves 341
Daniel ROYER

Chapter 14. Modeling of Ultrasonic Beams 359
Jean-François DE BELLEVAL, Nicolas GENGEMBRE, Alain LHÉMERY and Pierre CALMON

Chapter 15. Time-Reversal of Waves 399
Mickaël TANTER and Mathias FINK

Chapter 16. Introduction to Inverse Scattering in Acoustics and Elasticity 413
Marc LAMBERT, Marc BONNET and Dominique LESSELIER

PART 4. NONLINEAR ACOUSTICS 431

Chapter 17. Nonlinear Acoustic Phenomena in Micro-inhomogenous Media 433
Vitalyi GUSEV, Vincent TOURNAT and Bernard CASTAGNÈDE

Chapter 18. Non-destructive Evaluation of Micro-inhomogenous Solids by Nonlinear Acoustic Methods 473
Vincent TOURNAT, Vitalyi GUSEV and Bernard CASTAGNÈDE

PART 5. THE GREEN FUNCTION IN ANISOTROPIC MEDIA 505

Chapter 19. The Cagniard–de Hoop Method 507
Olivier PONCELET and Marc DESCHAMPS

PART 6. LINEAR METHODS OF ULTRASONIC NON-DESTRUCTIVE TESTING AND EVALUATION 559

Chapter 20. Measurement of Viscoelastic Modules 561
Michel CASTAINGS

Chapter 21. Interaction of an Ultrasonic Field with a Composite Plate 577
Philippe GATIGNOL, Catherine POTEL and Jean-François DE BELLEVAL

Chapter 22. Flaw Detection by Lamb Waves 595
Catherine POTEL, Philippe GATIGNOL and Jean-François DE BELLEVAL

Chapter 23. Non-Destructive Testing of Concrete by Ultrasonic Methods 609
Vincent GARNIER, Jean-François CHAIX and Gilles CORNELOUP

Chapter 24. Non-Destructive Evaluation and Testing and Structural Health Monitoring of Composite Materials by Ultrasound and Acoustic Emission 651
Rachid El GUERJOUMA, Anne MAREC, Hanane NECHAD and Jean-Hugh THOMAS

PART 7. CHARACTERIZATION OF POROELASTIC MATERIALS 675

Chapter 25. Metrology of Physical Parameters of Absorbing Materials 677
Michel HENRY, Christophe AYRAULT, Bernard CASTAGNÈDE, Zine EL ABIDINE FELLAH, Claude DEPOLLIER,Mohamed FELLAH,Walter LAURIKS and Sohbi SAHRAOUI

Chapter 26. Metrology of Acoustical Properties of Absorbing Materials: Surface Impedance 719
Michel HENRY

Chapter 27. The Nearfield Acoustical Holography Method 733
Bruno BROUARD

Chapter 28. Prediction of Acoustic Properties of Multilayer Structures – Some Examples of Applications 745
Nicolas DAUCHEZ

PART 8. BIOMEDICAL FIELD 757

Chapter 29. Ultrasonic Characterization of the Bone 759
Marie-Christine HO BA THO and Pascal LAUGIER

Chapter 30. Medical Ultrasonography 793
François TRANQUART, Aurore BLEUZEN, Bruno RICHARD and Léandre POURCELOT

Chapter 31. Use of Time-reversal 827
Mickaël TANTER and Mathias FINK

Chapter 32. Elastography 841
Stefan CATHELINE and Rémi SOUCHON

Chapter 33. Ultrasound and Therapy 863
Cyril LAFON, Dominique CATHIGNOL and Jean-Yves CHAPELON

Chapter 34. Ultrasound Characterization of Bone Tissues by Poroelastic Theories 879
Naima SEBAA, Zine EL ABIDINE FELLAH, Claude DEPOLLIER and Walter LAURIKS

Chapter 35. Acoustic Tomography, Ultrasonic Tomography 887
Jean-Pierre LEFEBVRE, Philippe LASAYGUES, and Serge MENSAH

List of Authors 907

Index 913

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