## Ultrasonic Waves in Solid MediaUltrasonic wave techniques are used increasingly in areas ranging from non-destructive inspection of materials to medical diagnosis. This book brings together basic physics and modern applications. It explains the physical principles of wave propagation and then relates them to ultrasonic wave mechanics and the more recent guided wave techniques that are used to inspect and evaluate aircraft, power plants, and pipelines in chemical processing plants. Among topics covered are wave propagation in plates, rods, hollow cylinders, and multiple layers in solid and composite materials; reflection and refraction; surface and subsurface waves; and horizontal shear wave propagation. Appendices provide background information on ultrasonic non-destructive testing, elasticity theory, and complex variables, and key wave propagation experiments. The text is amplified with numerous examples, laboratory experiments, and homework exercises. Graduate students, researchers, and practising engineers will find Ultrasonic Waves in Solid Media an invaluable reference to this active field. |

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### Contents

Dispersion Principles | 5 |

Unbounded Isotropic and Anisotropic Media | 24 |

Reflection and Refraction | 40 |

Oblique Incidence | 54 |

Wave Scattering | 82 |

Surface and Subsurface Waves | 90 |

Waves in Plates | 101 |

Interface Waves | 132 |

Waves in an Anisotropic Layer | 262 |

Elastic Constant Determination | 272 |

Waves in Viscoelastic Media | 288 |

Stress Influence | 299 |

Introduction to Boundary Element Modeling | 308 |

Appendix A Ultrasonic Nondestructive Testing Principles Analysis | 335 |

Appendix B Basic Formulas and Concepts in the Theory of Elasticity | 358 |

Complex Variables | 368 |

Waves in Rods | 143 |

Waves in Hollow Cylinders | 154 |

Guided Waves in Multiple Layers | 177 |

Source Influence | 200 |

Horizontal Shear | 241 |

Schlieren Imaging and Dynamic Photoelasticity | 396 |

Appendix E Key Wave Propagation Experiments | 400 |

439 | |

451 | |

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### Common terms and phrases

aluminum plate amplitude analysis angle beam transducer anisotropic anisotropic media antisymmetric modes attenuation axial boundary conditions bulk waves calculated coefficients components consider contour coordinate critical angle cylinder defect denotes derived direction dispersion curves dispersion equation displacement field displacement vector elastic constants element evaluate example excitation fd MHz-mm finite function group velocity guided wave half-space Hooke's law in-plane incident angle incident mode integral interface isotropic km/s Lamb wave layer loading longitudinal wave material matrix mode conversion normal modes obtained out-of-plane partial waves particle displacement phase velocity plane wave problem reflection factor sample scattering SH modes shear wave shown in Figure skew angle Snell's law solid solution solve strain stress surface wave symmetric modes technique tensor thickness tion traction transverse waves tube ultrasonic field ultrasonic wave velocity dispersion curves viscoelastic wave modes wave propagation wave structure wave velocity waveform wavelength wavenumber wavevector wedge zero

### Popular passages

Page 447 - DO Thompson and DE Chimenti (eds.). Review of Progress in Quantitative Nondestructive Evaluation, Vol.