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Nonlinear Acoustic Waves in Micro-inhomogeneous Solids

Author: Veniamin Nazarov

Publisher: John Wiley & Sons

Published: 2015-01-27

Total Pages: 263

ISBN-13: 1118456084

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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 models and mechanisms of the structure nonlinearity of micro-inhomogeneous media with cracks and cavities; Elastic waves in media with strong acoustic nonlinearity; Wave processes in micro-inhomogeneous media with hysteretic nonlinearity; Wave processes in nonlinear micro-inhomogeneous media with relaxation; Wave processes in the polycrystalline solids with dissipative and elastic nonlinearity caused by dislocations; Experimental studies of the nonlinear acoustic phenomena in polycrystalline rocks and metals; Experimental studies of nonlinear acoustic phenomena in granular media; and Nonlinear phenomena in seismic waves are dedicated to the theoretical and experimental research of nonlinear processes, caused by longitudinal elastic waves propagation and interaction in the micro-inhomogeneous media with a strong acoustical nonlinearity of different types (elastic, hysteretic, bimodular, elastic quadratic and non-elastic). This valuable monograph is intended for graduate students and researchers in applied physics, mechanical engineering, and applied mathematics, as well as those working in a wide spectrum of disciplines in materials science.

Book Synopsis Nonlinear Acoustic Waves in Micro-inhomogeneous Solids by : Veniamin Nazarov

Download or read book Nonlinear Acoustic Waves in Micro-inhomogeneous Solids written by Veniamin Nazarov and published by John Wiley & Sons. This book was released on 2015-01-27 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 models and mechanisms of the structure nonlinearity of micro-inhomogeneous media with cracks and cavities; Elastic waves in media with strong acoustic nonlinearity; Wave processes in micro-inhomogeneous media with hysteretic nonlinearity; Wave processes in nonlinear micro-inhomogeneous media with relaxation; Wave processes in the polycrystalline solids with dissipative and elastic nonlinearity caused by dislocations; Experimental studies of the nonlinear acoustic phenomena in polycrystalline rocks and metals; Experimental studies of nonlinear acoustic phenomena in granular media; and Nonlinear phenomena in seismic waves are dedicated to the theoretical and experimental research of nonlinear processes, caused by longitudinal elastic waves propagation and interaction in the micro-inhomogeneous media with a strong acoustical nonlinearity of different types (elastic, hysteretic, bimodular, elastic quadratic and non-elastic). This valuable monograph is intended for graduate students and researchers in applied physics, mechanical engineering, and applied mathematics, as well as those working in a wide spectrum of disciplines in materials science.

Measurement of Nonlinear Ultrasonic Characteristics

Author: Kyung-Young Jhang

Publisher: Springer Nature

Published: 2020-01-14

Total Pages: 294

ISBN-13: 9811514615

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Conventional ultrasonic methods based on ultrasonic characteristics in the linear elastic region are mainly sensitive to mature defects but are much less responsive to micro-damage or incipient material degradation. Recently, nonlinear ultrasonic characteristics beyond the linear ultrasonic amplitude range have been studied as a method for overcoming this limitation, and hence, many researchers are engaged in theoretical, experimental, and various application studies. However, the nonlinear ultrasonic characteristics are quite exacting compared to the linear phenomena so that they require vast experience and high proficiency in order to obtain proper experimental data. Actually, many researchers, especially beginners including graduate students, have difficulty in reliably measuring nonlinear ultrasonic characteristics. This book provides key technological know-how from experts with years of experience in this field, which will help researchers and engineers to obtain a clear understanding and high quality data in the nonlinear ultrasonic experiments and applications.

Book Synopsis Measurement of Nonlinear Ultrasonic Characteristics by : Kyung-Young Jhang

Download or read book Measurement of Nonlinear Ultrasonic Characteristics written by Kyung-Young Jhang and published by Springer Nature. This book was released on 2020-01-14 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conventional ultrasonic methods based on ultrasonic characteristics in the linear elastic region are mainly sensitive to mature defects but are much less responsive to micro-damage or incipient material degradation. Recently, nonlinear ultrasonic characteristics beyond the linear ultrasonic amplitude range have been studied as a method for overcoming this limitation, and hence, many researchers are engaged in theoretical, experimental, and various application studies. However, the nonlinear ultrasonic characteristics are quite exacting compared to the linear phenomena so that they require vast experience and high proficiency in order to obtain proper experimental data. Actually, many researchers, especially beginners including graduate students, have difficulty in reliably measuring nonlinear ultrasonic characteristics. This book provides key technological know-how from experts with years of experience in this field, which will help researchers and engineers to obtain a clear understanding and high quality data in the nonlinear ultrasonic experiments and applications.

Surface Acoustic Waves in Inhomogeneous Media

Author: Sergey V. Biryukov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 398

ISBN-13: 3642577679

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Surface Acoustic Waves in Inhomogeneous Media covers almost all important problems of the interaction of different types of surface acoustic waves with surface inhomogeneities. The problems of surface acoustic wave interaction with periodic topographic gratings widely used in filters and resonators are under careful consideration. The most important results of surface wave scattering by local defects such as grooves, random roughness, elastic wedges are given. Different theoretical approaches and practical rules for solving the surface wave problems are presented.

Book Synopsis Surface Acoustic Waves in Inhomogeneous Media by : Sergey V. Biryukov

Download or read book Surface Acoustic Waves in Inhomogeneous Media written by Sergey V. Biryukov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surface Acoustic Waves in Inhomogeneous Media covers almost all important problems of the interaction of different types of surface acoustic waves with surface inhomogeneities. The problems of surface acoustic wave interaction with periodic topographic gratings widely used in filters and resonators are under careful consideration. The most important results of surface wave scattering by local defects such as grooves, random roughness, elastic wedges are given. Different theoretical approaches and practical rules for solving the surface wave problems are presented.

Nonlinear Waves in Inhomogeneous and Hereditary Media

Author: Alexandr A. Lokshin

Publisher: Springer

Published: 1992

Total Pages: 0

ISBN-13: 9783642769184

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This booklet presents a study of one-dimensional waves in solids which can be modelled by nonlinear wave equations of different types. The factorization method is the main tool in this analysis. It allows for an exact or at least asymp totic decomposition of the wave(s) under consideration in terms of first order multipliers. Chapter 1 provides a general introduction. It presents some well-known results on characteristics, Riemann invariants, simple waves, etc. The main result of Chap. 1 is Theorem 1.3.2. (Sect. 1.3.2) which establishes the possibility of exact factorization of the nonlinear wave equation EPa(a) 1 EPa _ 0 Ij(l-u- x2 with constant coefficients. This theorem permits one to construct further factor izations of more complicated wave equations which the reader will meet in the following chapters. Chapter 2 is devoted to short wave processes in inhomogeneous media, the main result being the uniform asymptotic factorization of nonlinear wave equa tions with variable coefficients and the description of corresponding single-wave processes without the usual assumption of a small wave amplitude.

Book Synopsis Nonlinear Waves in Inhomogeneous and Hereditary Media by : Alexandr A. Lokshin

Download or read book Nonlinear Waves in Inhomogeneous and Hereditary Media written by Alexandr A. Lokshin and published by Springer. This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This booklet presents a study of one-dimensional waves in solids which can be modelled by nonlinear wave equations of different types. The factorization method is the main tool in this analysis. It allows for an exact or at least asymp totic decomposition of the wave(s) under consideration in terms of first order multipliers. Chapter 1 provides a general introduction. It presents some well-known results on characteristics, Riemann invariants, simple waves, etc. The main result of Chap. 1 is Theorem 1.3.2. (Sect. 1.3.2) which establishes the possibility of exact factorization of the nonlinear wave equation EPa(a) 1 EPa _ 0 Ij(l-u- x2 with constant coefficients. This theorem permits one to construct further factor izations of more complicated wave equations which the reader will meet in the following chapters. Chapter 2 is devoted to short wave processes in inhomogeneous media, the main result being the uniform asymptotic factorization of nonlinear wave equa tions with variable coefficients and the description of corresponding single-wave processes without the usual assumption of a small wave amplitude.

Ultrasonic Wave Propagation in Non Homogeneous Media

Author: Alain Leger

Publisher: Springer Science & Business Media

Published: 2009-01-30

Total Pages: 427

ISBN-13: 3540891056

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Non Destructive Testing and Non Destructive Evaluation using Ultrasounds covers an important field of applications and requires a wide range of fundamental theoretical, numerical and experimental investigations. In the present volume, the reader will find some relevant research results on wave propagation in complex materials and structures which are concerned with today’s problems on composites, bonding, guided waves, contact or damage, imaging and structural noise. The fifth meeting of the Anglo-French Research Group on "Wave propagation in non homogeneous media with a view to Non Destructive testing" was held in Anglet, France, June 2-6, 2008.

Book Synopsis Ultrasonic Wave Propagation in Non Homogeneous Media by : Alain Leger

Download or read book Ultrasonic Wave Propagation in Non Homogeneous Media written by Alain Leger and published by Springer Science & Business Media. This book was released on 2009-01-30 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non Destructive Testing and Non Destructive Evaluation using Ultrasounds covers an important field of applications and requires a wide range of fundamental theoretical, numerical and experimental investigations. In the present volume, the reader will find some relevant research results on wave propagation in complex materials and structures which are concerned with today’s problems on composites, bonding, guided waves, contact or damage, imaging and structural noise. The fifth meeting of the Anglo-French Research Group on "Wave propagation in non homogeneous media with a view to Non Destructive testing" was held in Anglet, France, June 2-6, 2008.

Nonlinear Wave Processes in Acoustics

Author: K. Naugolnykh

Publisher: Cambridge University Press

Published: 1998-05-28

Total Pages: 316

ISBN-13: 9780521399845

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This text considers models of different "acoustic" media as well as equations and behavior of finite-amplitude waves. It also considers the effects of nonlinearity, dissipation, dispersion, and for two- and three-dimensional problems, reflection and diffraction on the evolution and interaction of acoustic beams.

Book Synopsis Nonlinear Wave Processes in Acoustics by : K. Naugolnykh

Download or read book Nonlinear Wave Processes in Acoustics written by K. Naugolnykh and published by Cambridge University Press. This book was released on 1998-05-28 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text considers models of different "acoustic" media as well as equations and behavior of finite-amplitude waves. It also considers the effects of nonlinearity, dissipation, dispersion, and for two- and three-dimensional problems, reflection and diffraction on the evolution and interaction of acoustic beams.

Nonlinear Acoustics

Author: Mark F. Hamilton

Publisher: Springer

Published: 2024-09-06

Total Pages: 0

ISBN-13: 9783031589621

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This open access book is an introductory text on the theory of nonlinear acoustics written by experts on their respective topics. It is written at a level appropriate for a graduate course on nonlinear acoustics, and it also serves as a useful resource for scientists and engineers. Consistent notation is employed for the principal symbols, and there is extensive cross-referencing between chapters. Chapters 1 through 8 develop the physical concepts, mathematical models, and classical methods of solution that form the theoretical framework for nonlinear acoustics. These chapters, or selected portions, form an appropriate core for an introductory course. While the emphasis is on nonlinear sound waves in fluids, Chapter 9 provides an introduction to nonlinear elastic waves in isotropic solids. Chapters 10 through 15 cover applications and additional methodologies encountered in nonlinear acoustics that include perturbation and numerical methods, ray theory for inhomogeneous media, statistical and parametric phenomena, and biomedical applications. The book is relevant to studies of therapeutic ultrasound, blast waves and jet noise, nondestructive testing, parametric array loudspeakers, particle manipulation with acoustic radiation force, and other applications involving nonlinear acoustics. This is an open access book.

Book Synopsis Nonlinear Acoustics by : Mark F. Hamilton

Download or read book Nonlinear Acoustics written by Mark F. Hamilton and published by Springer. This book was released on 2024-09-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book is an introductory text on the theory of nonlinear acoustics written by experts on their respective topics. It is written at a level appropriate for a graduate course on nonlinear acoustics, and it also serves as a useful resource for scientists and engineers. Consistent notation is employed for the principal symbols, and there is extensive cross-referencing between chapters. Chapters 1 through 8 develop the physical concepts, mathematical models, and classical methods of solution that form the theoretical framework for nonlinear acoustics. These chapters, or selected portions, form an appropriate core for an introductory course. While the emphasis is on nonlinear sound waves in fluids, Chapter 9 provides an introduction to nonlinear elastic waves in isotropic solids. Chapters 10 through 15 cover applications and additional methodologies encountered in nonlinear acoustics that include perturbation and numerical methods, ray theory for inhomogeneous media, statistical and parametric phenomena, and biomedical applications. The book is relevant to studies of therapeutic ultrasound, blast waves and jet noise, nondestructive testing, parametric array loudspeakers, particle manipulation with acoustic radiation force, and other applications involving nonlinear acoustics. This is an open access book.

Acoustic fields and waves in solids

Author: B.A. Auld

Publisher: Рипол Классик

Published: 1973

Total Pages: 432

ISBN-13: 5885013438

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Volume One begins with a systematic development of basic concepts (strain, stress, stiffness and compliance, viscous clamping) and coordinate transformations in both tensor and matrix notation. The basic elastic field equations are then written in a form analogous to Maxwell's equations. This analogy is then pursued when analyzing wave propagation in both isotropic and anisotropic solids. Piezoelectricity and bulk wave transducers are treated in the final chapter. Appendixes list slowness diagrams and material properties for various crystalline solids.

Book Synopsis Acoustic fields and waves in solids by : B.A. Auld

Download or read book Acoustic fields and waves in solids written by B.A. Auld and published by Рипол Классик. This book was released on 1973 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume One begins with a systematic development of basic concepts (strain, stress, stiffness and compliance, viscous clamping) and coordinate transformations in both tensor and matrix notation. The basic elastic field equations are then written in a form analogous to Maxwell's equations. This analogy is then pursued when analyzing wave propagation in both isotropic and anisotropic solids. Piezoelectricity and bulk wave transducers are treated in the final chapter. Appendixes list slowness diagrams and material properties for various crystalline solids.

Nonlinear Acoustics

Author: K.A. Naugol'nikh

Publisher: Springer Science & Business Media

Published: 1997-05-08

Total Pages: 528

ISBN-13: 9781563963384

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Market: Acousticians, research scientists, instructors, and graduate and advanced undergraduate students in nonlinear acoustics. This book contains a collection of papers by authors of the Former Soviet Union. The topics covered are media with "structural" nonlinearities, optical generation of sound, acoustic beat-wave interactions, acoustic shock waves, thermal self-focusing of acoustic waves, solitons, statistical nonlinear acoustics, media with relaxation and oscillatory degrees of freedom, parametric arrays, and fluid cavitation.

Book Synopsis Nonlinear Acoustics by : K.A. Naugol'nikh

Download or read book Nonlinear Acoustics written by K.A. Naugol'nikh and published by Springer Science & Business Media. This book was released on 1997-05-08 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market: Acousticians, research scientists, instructors, and graduate and advanced undergraduate students in nonlinear acoustics. This book contains a collection of papers by authors of the Former Soviet Union. The topics covered are media with "structural" nonlinearities, optical generation of sound, acoustic beat-wave interactions, acoustic shock waves, thermal self-focusing of acoustic waves, solitons, statistical nonlinear acoustics, media with relaxation and oscillatory degrees of freedom, parametric arrays, and fluid cavitation.

Nonlinear Waves in Solid State Physics

Author: A.D. Boardman

Publisher: Springer

Published: 1990

Total Pages: 520

ISBN-13:

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Proceedings of a NATO ASI held in Erice, Sicily, Italy, July 1--15, 1989

Book Synopsis Nonlinear Waves in Solid State Physics by : A.D. Boardman

Download or read book Nonlinear Waves in Solid State Physics written by A.D. Boardman and published by Springer. This book was released on 1990 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a NATO ASI held in Erice, Sicily, Italy, July 1--15, 1989