{"product_id":"nonlinear-acoustic-waves-in-microinhomogeneous-solids-9781118456088","title":"Nonlinear Acoustic Waves in Microinhomogeneous","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003ci\u003eNonlinear Acoustic Waves in Micro-inhomogeneous Solids\u003c\/i\u003e covers the broad and dynamic branch of nonlinear acoustics, presenting a wide variety of different phenomena from both experimental and theoretical perspectives. \u003cbr\u003e\u003cbr\u003eThe 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. \u003cbr\u003e\u003cbr\u003eThe subsequent eight chapters covering: \u003ci\u003ePhysical models and mechanisms of the structure nonlinearity of micro-inhomogeneous media with cracks and cavities\u003c\/i\u003e; \u003ci\u003eElastic waves in media with strong acoustic nonlinearity\u003c\/i\u003e; \u003ci\u003eWave processes in micro-inhomogeneous media with hysteretic nonlinearity\u003c\/i\u003e; \u003ci\u003eWave processes in nonlinear micro-inhomogeneous media with relaxation\u003c\/i\u003e; \u003ci\u003eWave processes in the polycry\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003c\/i\u003e\u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003e\u003cb\u003eI. Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eI.1 Nonlinearity of Gases and Liquids 2\u003c\/p\u003e \u003cp\u003eI.2 Nonlinearity of Homogeneous Solids 2\u003c\/p\u003e \u003cp\u003eI.3 Micro-inhomogeneous Solids. General Considerations 6\u003c\/p\u003e \u003cp\u003eReferences 9\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Nonlinear Wave Processes in Homogeneous Media 11\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 A Progressive Approximation Approach: The Second Harmonic Generation in an Unbounded Medium 14\u003c\/p\u003e \u003cp\u003e1.2 Generation of the Wave at a Difference Frequency: Parametric Array, Degenerate Interaction of Waves 15\u003c\/p\u003e \u003cp\u003e1.3 Generation of the Wave at Second Harmonic Frequency in Resonators 17\u003c\/p\u003e \u003cp\u003e1.4 Simple Waves and Formation of Discontinuities 19\u003c\/p\u003e \u003cp\u003e1.5 Exact Solutions of the Burgers Equation 25\u003c\/p\u003e \u003cp\u003e1.6 Nonlinear Wave Processes in Relaxing Media 27\u003c\/p\u003e \u003cp\u003e1.7 Spherical and Cylindrical Waves 32\u003c\/p\u003e \u003cp\u003eReferences 34\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Physical Models and Mechanisms of the Structure Nonlinearity of Micro-inhomogeneous Media with Cracks and Cavities 37\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Contact Mechanism of Nonlinearity for Cracks with Rough and Smooth Surfaces 38\u003c\/p\u003e \u003cp\u003e2.2 Capillary and Viscous Mechanisms of Nonlinearity for Cracks Partially Filled with Liquid 43\u003c\/p\u003e \u003cp\u003e2.2.1 The Equilibrium State of a Crack Partially Filled with Liquid 43\u003c\/p\u003e \u003cp\u003e2.2.2 The Equation of State for a Crack Partially Filled with a Perfect Liquid 45\u003c\/p\u003e \u003cp\u003e2.2.3 The Equation of State for a Crack Partially Filled with a Viscous Liquid 46\u003c\/p\u003e \u003cp\u003e2.3 Acoustic Nonlinearity of Porous Water-like Materials with Cylindrical Cavities Partially Filled with Viscous Liquid 50\u003c\/p\u003e \u003cp\u003e2.4 An Adhesion Mechanism of Hysteretic Nonlinearity for Cracks 58\u003c\/p\u003e \u003cp\u003eReferences 63\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. ElasticWaves in Media with Strong Acoustic Nonlinearity 65\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Nonlinear Propagation and Interaction of Acoustic Waves in Media with Cracks Possessing Adhesion 65\u003c\/p\u003e \u003cp\u003e3.2 Acoustic Waves in Media with Bimodular Nonlinearity 68\u003c\/p\u003e \u003cp\u003e3.3 Acoustic Waves in Media with Bimodular Nonlinearity and Linear Dissipation 70\u003c\/p\u003e \u003cp\u003e3.4 Doubling of Acoustic Wave Frequency by a Nonlinear Layer 76\u003c\/p\u003e \u003cp\u003e3.5 Propagation of High-Frequency Pulses in Media with Dissipative Nonlinearity 79\u003c\/p\u003e \u003cp\u003e3.6 Interaction of Counter-Propagating Acoustic Waves in Media with Dissipative Nonlinearity 80\u003c\/p\u003e \u003cp\u003eReferences 81\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Wave Processes in Micro-inhomogeneous Solids with Hysteretic Nonlinearity 83\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Hysteretic Equations of State for Solids: Phenomenological Models 84\u003c\/p\u003e \u003cp\u003e4.2 Nonlinear Waves in an Unbounded Medium 88\u003c\/p\u003e \u003cp\u003e4.2.1 Propagation of Unipolar Acoustic Pulses 95\u003c\/p\u003e \u003cp\u003e4.2.2 Self-Demodulation of High-Frequency Acoustic Pulses 96\u003c\/p\u003e \u003cp\u003e4.2.3 Nonlinear Travelling Waves in a Ring Resonator 97\u003c\/p\u003e \u003cp\u003e4.3 Vibrations of Rods Composed of Materials with Hysteretic Nonlinearity and Linear Dissipation 99\u003c\/p\u003e \u003cp\u003e4.4 Propagation of Unipolar Strain Pulses in Media with Hysteretic Nonlinearity of an Arbitrary Power-Law 103\u003c\/p\u003e \u003cp\u003eReferences 107\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Wave Processes in Nonlinear Micro-inhomogeneous Media with Relaxation 111\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Rheological Model and Dynamic Equation of State of Nonlinear Micro-inhomogeneous Media with Relaxation 112\u003c\/p\u003e \u003cp\u003e5.1.1 Second Harmonic Generation 116\u003c\/p\u003e \u003cp\u003e5.1.2 Generation of the Difference Frequency Wave 120\u003c\/p\u003e \u003cp\u003e5.1.3 Self-Demodulation of Pulses with a High-Frequency Carrier 124\u003c\/p\u003e \u003cp\u003e5.2 Evolution of Acoustic Waves in Micro-inhomogeneous Media with Quadratic Elastic Nonlinearity and Relaxation 127\u003c\/p\u003e \u003cp\u003e5.2.1 Stationary Symmetric Shock Waves 127\u003c\/p\u003e \u003cp\u003e5.2.2 Evolution Equations for Low-Frequency and High-Frequency Acoustic Waves 129\u003c\/p\u003e \u003cp\u003e5.2.3 Evolution of Initially Harmonic Waves 130\u003c\/p\u003e \u003cp\u003e5.3 Wave Processes in Micro-inhomogeneous Elastic Media with Hysteretic Nonlinearity and Relaxation 132\u003c\/p\u003e \u003cp\u003e5.3.1 Equation of State of Micro-inhomogeneous Medium with Hysteretic Nonlinearity and Relaxation 133\u003c\/p\u003e \u003cp\u003e5.3.2 Nonlinear Propagation of a Quasi-Harmonic Wave 133\u003c\/p\u003e \u003cp\u003e5.3.3 Frequency Dependencies of Nonlinear Coefficients for a Medium with Defects having Different Distribution over Relaxation Frequencies 135\u003c\/p\u003e \u003cp\u003e5.4 Simulation of the Dynamic Hystereses in Micro-inhomogeneous Media Characterized by Imperfect Elasticity and Relaxation 138\u003c\/p\u003e \u003cp\u003e5.5 Nonlinear Wave Processes in Media Containing Cracks Partially Filled with a Viscous Liquid 142\u003c\/p\u003e \u003cp\u003e5.5.1 Equation of State for a Rod Containing Cracks Partially Filled with a Viscous Liquid 142\u003c\/p\u003e \u003cp\u003e5.5.2 Nonlinear Propagation and Interaction of Elastic Waves in a Rod with Cracks 144\u003c\/p\u003e \u003cp\u003e5.5.3 Analysis of the Wave Processes in a Rod with Identical Cracks 147\u003c\/p\u003e \u003cp\u003e5.5.4 Analysis of the Wave Processes in a Rod with Cracks Distributed over the Radii 148\u003c\/p\u003e \u003cp\u003eReferences 150\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. Wave Processes in Polycrystalline Solids with Dissipative and Reactive Nonlinearity Caused by Dislocations 153\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Modification of the Linear Part of the Granato–Lücke Dislocation Theory of Absorption and Equation of State with Resonance Dissipative and Reactive Nonlinearity for Polycrystalline Solids 154\u003c\/p\u003e \u003cp\u003e6.2 Attenuation of High-Frequency Pulses and the Phase Delay of its Carrier Frequency under the Action of a Low-Frequency Wave 158\u003c\/p\u003e \u003cp\u003e6.3 Amplitude–Phase Self-Action Phenomena in the High-Frequency Wave of Finite Amplitude 160\u003c\/p\u003e \u003cp\u003eReferences 163\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Experimental Studies of Nonlinear Acoustic Phenomena in Polycrystalline Rocks and Metals 165\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Experimental Setup 166\u003c\/p\u003e \u003cp\u003e7.2 Nonlinear Shift in Resonance Frequency in a Glass Rod with Artificial Cracks 166\u003c\/p\u003e \u003cp\u003e7.3 Low-Frequency Amplitude-Dependent Internal Friction and High-Frequency Dissipative Nonlinearity of Coarse-Grained Sandstone 167\u003c\/p\u003e \u003cp\u003e7.3.1 Phenomena of LF Hysteretic Nonlinearity: Amplitude-Dependent Losses and Shifts of Resonant Frequencies 168\u003c\/p\u003e \u003cp\u003e7.3.2 Nonlinear Attenuation of an Ultrasonic Pulse under the Action of a LF Wave 173\u003c\/p\u003e \u003cp\u003e7.4 Effect of an Intense Sound Wave on the Acoustic Properties of a Fine-Grained Sandstone Rod Resonator 176\u003c\/p\u003e \u003cp\u003e7.5 Nonlinear Acoustic Phenomena in Limestone 180\u003c\/p\u003e \u003cp\u003e7.5.1 Phenomena of LF Hysteretic Nonlinearity 180\u003c\/p\u003e \u003cp\u003e7.5.2 Manifestation of the HF Dissipative Nonlinearity 186\u003c\/p\u003e \u003cp\u003e7.6 Oscillograms of the Free Boundary Nonlinear Oscillations of a Magnesite Resonator 187\u003c\/p\u003e \u003cp\u003e7.7 High-Frequency Nonlinear Acoustic Phenomena in Marble 189\u003c\/p\u003e \u003cp\u003e7.7.1 Attenuation and Phase Delay of the Carrier Frequency of Weak Ultrasonic Pulses under the Action of a LF Powerful Wave 189\u003c\/p\u003e \u003cp\u003e7.7.2 Self-Action of Finite-Amplitude Ultrasonic Pulses 192\u003c\/p\u003e \u003cp\u003e7.8 Sound by Sound Damping of Polycrystalline Zinc 195\u003c\/p\u003e \u003cp\u003e7.9 Modulation of Sound by Sound in Copper Subjected to Different Degrees of Annealing 199\u003c\/p\u003e \u003cp\u003eReferences 203\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8. Experimental Studies of Nonlinear Acoustic Phenomena in Granular Media 205\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Self-Demodulation of Acoustic Pulses in Partially Water-Saturated River Sand 206\u003c\/p\u003e \u003cp\u003e8.1.1 Experimental Setup 206\u003c\/p\u003e \u003cp\u003e8.1.2 Experimental Results 207\u003c\/p\u003e \u003cp\u003e8.2 Self-Action of Acoustic Waves in Systems with Dissipative Nonlinearity 212\u003c\/p\u003e \u003cp\u003e8.2.1 Description of the Experiment 213\u003c\/p\u003e \u003cp\u003e8.2.2 Analytical Description of the Phenomenon of Self-Brightening 216\u003c\/p\u003e \u003cp\u003e8.3 Amplification of Sound by Sound in Systems with Dissipative Nonlinearity 221\u003c\/p\u003e \u003cp\u003e8.4 Self-Action of a Low-Frequency Acoustic Wave and Generation of the Second Harmonic in Dry and Water-Saturated River Sand 222\u003c\/p\u003e \u003cp\u003e8.4.1 Experimental Scheme and Method of Measurement 222\u003c\/p\u003e \u003cp\u003e8.4.2 Measurement Results 223\u003c\/p\u003e \u003cp\u003e8.4.3 Analytical Description of the Phenomena of Self-Action and Generation of the Second Harmonic 226\u003c\/p\u003e \u003cp\u003e8.5 Amplitude Modulation of Sound by Sound in Water-Saturated River Sand 228\u003c\/p\u003e \u003cp\u003eReferences 231\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9. Nonlinear Phenomena in Seismic Waves 233\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Static Deformation of the Earth’s Surface Near the Harmonic Source of Seismic Vibrations 233\u003c\/p\u003e \u003cp\u003e9.2 Amplitude Modulation of Sound by Sound in Sandy Soil 237\u003c\/p\u003e \u003cp\u003e9.3 Self-Action of the Seismic Wave in Sandy Soil 237\u003c\/p\u003e \u003cp\u003e9.4 Amplitude–Phase Modulation of a Seismo–Acoustic Wave under Diurnal Tides 242\u003c\/p\u003e \u003cp\u003eReferences 245\u003c\/p\u003e \u003cp\u003eIndex 249\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406873469271,"sku":"9781118456088","price":999.99,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/nonlinear-acoustic-waves-in-microinhomogeneous-solids-9781118456088","provider":"Book Curl","version":"1.0","type":"link"}