| Description |
1 online resource (264 pages) |
| Contents |
Cover; Title Page; Copyright; Contents; Preface; Introduction; I.1 Nonlinearity of Gases and Liquids; I.2 Nonlinearity of Homogeneous Solids; I.3 Micro-inhomogeneous Solids. General Considerations; References; Chapter 1 Nonlinear Wave Processes in Homogeneous Media; 1.1 A Progressive Approximation Approach: The Second Harmonic Generation in an Unbounded Medium; 1.2 Generation of the Wave at a Difference Frequency: Parametric Array, Degenerate Interaction of Waves; 1.3 Generation of the Wave at Second Harmonic Frequency in Resonators; 1.4 Simple Waves and Formation of Discontinuities |
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1.5 Exact Solutions of the Burgers Equation1.6 Nonlinear Wave Processes in Relaxing Media; 1.7 Spherical and Cylindrical Waves; References; Chapter 2 Physical Models and Mechanisms of the Structure Nonlinearity of Micro-inhomogeneous Media with Cracks and Cavities; 2.1 Contact Mechanism of Nonlinearity for Cracks with Rough and Smooth Surfaces; 2.2 Capillary and Viscous Mechanisms of Nonlinearity for Cracks Partially Filled with Liquid; 2.2.1 The Equilibrium State of a Crack Partially Filled with Liquid; 2.2.2 The Equation of State for a Crack Partially Filled with a Perfect Liquid |
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2.2.3 The Equation of State for a Crack Partially Filled with a Viscous Liquid2.3 Acoustic Nonlinearity of Porous Water-like Materials with Cylindrical Cavities Partially Filled with Viscous Liquid; 2.4 An Adhesion Mechanism of Hysteretic Nonlinearity for Cracks; References; Chapter 3 Elastic Waves in Media with Strong Acoustic Nonlinearity; 3.1 Nonlinear Propagation and Interaction of Acoustic Waves in Media with Cracks Possessing Adhesion; 3.2 Acoustic Waves in Media with Bimodular Nonlinearity; 3.3 Acoustic Waves in Media with Bimodular Nonlinearity and Linear Dissipation |
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3.4 Doubling of Acoustic Wave Frequency by a Nonlinear Layer3.5 Propagation of High-Frequency Pulses in Media with Dissipative Nonlinearity; 3.6 Interaction of Counter-Propagating Acoustic Waves in Media with Dissipative Nonlinearity; References; Chapter 4 Wave Processes in Micro-inhomogeneous Solids with Hysteretic Nonlinearity; 4.1 Hysteretic Equations of State for Solids: Phenomenological Models; 4.2 Nonlinear Waves in an Unbounded Medium; 4.2.1 Propagation of Unipolar Acoustic Pulses; 4.2.2 Self-Demodulation of High-Frequency Acoustic Pulses |
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4.2.3 Nonlinear Travelling Waves in a Ring Resonator4.3 Vibrations of Rods Composed of Materials with Hysteretic Nonlinearity and Linear Dissipation; 4.4 Propagation of Unipolar Strain Pulses in Media with Hysteretic Nonlinearity of an Arbitrary Power-Law; References; Chapter 5 Wave Processes in Nonlinear Micro-inhomogeneous Media with Relaxation; 5.1 Rheological Model and Dynamic Equation of State of Nonlinear Micro-inhomogeneous Media with Relaxation; 5.1.1 Second Harmonic Generation; 5.1.2 Generation of the Difference Frequency Wave |
| Summary |
Nonlinear Acoustic Waves in Micro-inhomogeneous Solids covers the broad and dynamic branch of nonlinear acoustics, presenting a wide variety of different phenomena from both experimental and theoretical perspectives. The introductory chapters, written in the style of graduate-level textbook, present a review of the main achievements of classic nonlinear acoustics of homogeneous media. This enables readers to gain insight into nonlinear wave processes in homogeneous and micro-inhomogeneous solids and compare it within the framework of the book. The subsequent eight chapters covering: Physical m |
| Notes |
5.1.3 Self-Demodulation of Pulses with a High-Frequency Carrier |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Nonlinear acoustics.
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Elastic wave propagation.
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Elastic solids.
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Inhomogeneous materials.
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Microstructure.
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microstructure.
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Elastic solids
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Elastic wave propagation
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Inhomogeneous materials
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Microstructure
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Nonlinear acoustics
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| Form |
Electronic book
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| Author |
Radostin, Andrey
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| ISBN |
9781118698341 |
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1118698347 |
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9781118698327 |
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1118698320 |
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9781118456088 |
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1118456084 |
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9781322334806 |
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1322334803 |
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