Non-linear Elastic Waves Guided by Stress-free Surfaces

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (125 download)

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Book Synopsis Non-linear Elastic Waves Guided by Stress-free Surfaces by : David F. Parker

Download or read book Non-linear Elastic Waves Guided by Stress-free Surfaces written by David F. Parker and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Waves in Nonlinear Pre-Stressed Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 3211735720
Total Pages : 287 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Waves in Nonlinear Pre-Stressed Materials by : M. Destrade

Download or read book Waves in Nonlinear Pre-Stressed Materials written by M. Destrade and published by Springer Science & Business Media. This book was released on 2007-11-08 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers in this book provide a state-of-the-art examination of waves in pre-stressed materials. You’ll gain new perspectives via a multi-disciplinary approach that interweaves key topics. These topics include the mathematical modeling of incremental material response (elastic and inelastic), an analysis of the governing differential equations, and boundary-value problems. Detailed illustrations help you visualize key concepts and processes.

Nonlinear Elastic Waves in Materials

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Publisher : Springer
ISBN 13 : 9783319004655
Total Pages : 440 pages
Book Rating : 4.0/5 (46 download)

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Book Synopsis Nonlinear Elastic Waves in Materials by : Jeremiah J. Rushchitsky

Download or read book Nonlinear Elastic Waves in Materials written by Jeremiah J. Rushchitsky and published by Springer. This book was released on 2014-05-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves. The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves. The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so forth. The genesis of this book can be found in author’s years of research and teaching while a head of department at SP Timoshenko Institute of Mechanics (National Academy of Sciences of Ukraine), a member of Center for Micro and Nanomechanics at Engineering School of University of Aberdeen (Scotland) and a professor at Physical-Mathematical Faculty of National Technical University of Ukraine “KPI”. The book comprises 11 chapters. Each chapter is complemented by exercises, which can be used for the next development of the theory of nonlinear waves.

Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation

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Publisher : Springer
ISBN 13 : 3319944762
Total Pages : 761 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation by : Tribikram Kundu

Download or read book Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation written by Tribikram Kundu and published by Springer. This book was released on 2018-10-19 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-contributed volume provides a practical, applications-focused introduction to nonlinear acoustical techniques for nondestructive evaluation. Compared to linear techniques, nonlinear acoustical/ultrasonic techniques are much more sensitive to micro-cracks and other types of small distributed damages. Most materials and structures exhibit nonlinear behavior due to the formation of dislocation and micro-cracks from fatigue or other types of repetitive loadings well before detectable macro-cracks are formed. Nondestructive evaluation (NDE) tools that have been developed based on nonlinear acoustical techniques are capable of providing early warnings about the possibility of structural failure before detectable macro-cracks are formed. This book presents the full range of nonlinear acoustical techniques used today for NDE. The expert chapters cover both theoretical and experimental aspects, but always with an eye towards applications. Unlike other titles currently available, which treat nonlinearity as a physics problem and focus on different analytical derivations, the present volume emphasizes NDE applications over detailed analytical derivations. The introductory chapter presents the fundamentals in a manner accessible to anyone with an undergraduate degree in Engineering or Physics and equips the reader with all of the necessary background to understand the remaining chapters. This self-contained volume will be a valuable reference to graduate students through practising researchers in Engineering, Materials Science, and Physics. Represents the first book on nonlinear acoustical techniques for NDE applications Emphasizes applications of nonlinear acoustical techniques Presents the fundamental physics and mathematics behind nonlinear acoustical phenomenon in a simple, easily understood manner Covers a variety of popular NDE techniques based on nonlinear acoustics in a single volume

Selected Topics in Nonlinear Wave Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200954
Total Pages : 274 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Selected Topics in Nonlinear Wave Mechanics by : C.I. Christov

Download or read book Selected Topics in Nonlinear Wave Mechanics written by C.I. Christov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview ofthe current state of nonlinear wave mechanics with emphasis on strong discontinuities (shock waves) and localized self preserving shapes (solitons) in both elastic and fluid media. The exposition is intentionallyat a detailed mathematical and physical level, our expectation being that the reader will enjoy coming to grips in a concrete manner with advances in this fascinating subject. Historically, modern research in nonlinear wave mechanics began with the famous 1858 piston problem paper of Riemann on shock waves and con tinued into the early part of the last century with the work of Hadamard, Rankine, and Hugoniot. After WWII, research into nonlinear propagation of dispersive waves rapidly accelerated with the advent of computers. Works of particular importance in the immediate post-war years include those of von Neumann, Fermi, and Lax. Later, additional contributions were made by Lighthill, Glimm, Strauss, Wendroff, and Bishop. Dispersion alone leads to shock fronts of the propagating waves. That the nonlinearity can com pensate for the dispersion, leading to propagation with a stable wave having constant velocity and shape (solitons) came as a surprise. A solitary wave was first discussed by J. Scott Russell in 1845 in "Report of British Asso ciations for the Advancement of Science. " He had, while horseback riding, observed a solitary wave travelling along a water channel and followed its unbroken progress for over a mile.

Elastic Waves in Solids

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Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Elastic Waves in Solids by : E. Dieulesaint

Download or read book Elastic Waves in Solids written by E. Dieulesaint and published by John Wiley & Sons. This book was released on 1980 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Amplification of Nonlinear Strain Waves in Solids

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Publisher : World Scientific
ISBN 13 : 9812383263
Total Pages : 229 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Amplification of Nonlinear Strain Waves in Solids by : Alexey V. Porubov

Download or read book Amplification of Nonlinear Strain Waves in Solids written by Alexey V. Porubov and published by World Scientific. This book was released on 2003 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes. The text includes numerous detailed examples of the strain wave amplification and selection caused by the influence of an external medium, microstructure, moving point defects, and thermal phenomena. The main features of the book are: (1) nonlinear models of the strain wave evolution in a rod subjected by various dissipative/active factors; (2) an analytico-numerical approach for solutions to the governing nonlinear partial differential equations with dispersion and dissipation. This book is essential for introducing readers in mechanics, mechanical engineering, and applied mathematics to the concept of long nonlinear strain wave in one-dimensional wave guides. It is also suitable for self-study by professionals in all areas of nonlinear physics.

Waves in Nonlinear Elastic Media with Inhomogeneous Pre-stress

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (847 download)

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Book Synopsis Waves in Nonlinear Elastic Media with Inhomogeneous Pre-stress by : Tom Shearer

Download or read book Waves in Nonlinear Elastic Media with Inhomogeneous Pre-stress written by Tom Shearer and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, the effect of inhomogeneous pre-stress on elastic wave propagation and scattering in nonlinear elastic materials is investigated. Four main problems are considered: 1. torsional wave propagation in a pre-stressed annular cylinder, 2. the scattering of horizontally polarised shear waves from a cylindrical cavity in a pre-stressed, infinite, nonlinear elastic material, 3. the use of pre-stress to cloak cylindrical cavities from incoming horizontally polarised shear waves, and 4. the scattering of shear waves from a spherical cavity in a pre-stressed, infinite, nonlinear elastic material. It is observed that waves in a hyperelastic material are significantly affected by pre-stress, and different results are obtained from those which would be obtained if the underlying stress was neglected and only geometrical changes were considered. In Chapter 3 we show that the dispersion curves for torsional waves propagating in an annular cylinder are strongly dependent on the pre-stress applied. A greater pressure on the inner surface than the outer causes the roots of the dispersion curves to be spaced further apart, whereas a greater pressure on the outer surface than the inner causes them to be spaced closer together. We also show that a longitudinal stretch causes the cut-on frequencies to move closer together and decreases the gradient of the dispersion curves, whilst a longitudinal compression causes the cut-on frequencies to move further apart and increases the gradient of the dispersion curves. In Chapter 4 we observe that pre-stress affects the scattering coefficients for shear waves scattered from a cylindrical cavity. It is shown that, for certain parameter values, the scattering coefficients obtained in a pre-stressed medium are closer to those that would be obtained in the undeformed configuration than those that would be obtained in the deformed configuration if the pre-stress were neglected. This result is utilised in Chapter 5 where the cloaking of a cylindrical cavity from horizontally polarised shear waves is examined. It is shown that neo-Hookean materials are optimal for this type of cloaking. A stonger dependence of the strain energy function on the second strain invariant leads to a less efficient cloak. We observe that, for a Mooney-Rivlin material, as S1 tends from 1 towards 0 (in other words, as a material becomes less dependent on the first strain invariant, and more dependent on the second strain invariant), there is more scattering from the cloaking region. For materials which are strongly dependent on the second strain invariant the pre-stress actually increases the scattering cross-section relative to the scattering cross-section for an unstressed material, hence these materials are unsuitable for pre-stress cloaking. Finally, in Chapter 6 we study the effect of pressure applied to the inner surface of a spherical cavity and at infinity on the propagation and scattering of shear waves in an unbounded medium. It is shown that the scattering coefficients and cross-sections for this problem are strongly dependent on the pre-stress considered. We observe that a region of inhomogeneous pre-stress can lead to some counterintuitive relationships between cavity size and scattering cross-sections and coefficients.

Strain Solitons in Solids and How to Construct Them

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Author :
Publisher : CRC Press
ISBN 13 : 1000611450
Total Pages : 166 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Strain Solitons in Solids and How to Construct Them by : Alexander M. Samsonov

Download or read book Strain Solitons in Solids and How to Construct Them written by Alexander M. Samsonov and published by CRC Press. This book was released on 2001-01-18 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the theory behind solitary waves of strain shows that they hold significant promise in nondestructive testing and a variety of other applications, an enigma has long persisted-the absence of observable elastic solitary waves in practice. Inspired by this apparent contradiction, Strain Solitons in Solids and How to Construct Them refines th

Introduction to Guided Nonlinear Elastic Waves

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (93 download)

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Book Synopsis Introduction to Guided Nonlinear Elastic Waves by : Alexander M. Samsonov

Download or read book Introduction to Guided Nonlinear Elastic Waves written by Alexander M. Samsonov and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Nonlinear Evolution of Small Amplitude Free Surface Waves

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Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (33 download)

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Book Synopsis On the Nonlinear Evolution of Small Amplitude Free Surface Waves by : Robert David Pierce

Download or read book On the Nonlinear Evolution of Small Amplitude Free Surface Waves written by Robert David Pierce and published by . This book was released on 1993 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Japanese Science and Technology, 1983-1984

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Publisher :
ISBN 13 :
Total Pages : 1080 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Japanese Science and Technology, 1983-1984 by : United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch

Download or read book Japanese Science and Technology, 1983-1984 written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch and published by . This book was released on 1985 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physics Briefs

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Publisher :
ISBN 13 :
Total Pages : 864 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Physics Briefs by :

Download or read book Physics Briefs written by and published by . This book was released on 1992 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 892 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

European Workshop on Structural Health Monitoring

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Publisher : Springer Nature
ISBN 13 : 3031072545
Total Pages : 933 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis European Workshop on Structural Health Monitoring by : Piervincenzo Rizzo

Download or read book European Workshop on Structural Health Monitoring written by Piervincenzo Rizzo and published by Springer Nature. This book was released on 2022-06-18 with total page 933 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers the latest advances, innovations, and applications in the field of structural health monitoring (SHM) and more broadly in the fields of smart materials and intelligent systems, as presented by leading international researchers and engineers at the 10th European Workshop on Structural Health Monitoring (EWSHM), held in Palermo, Italy on July 4-7, 2022. The volume covers highly diverse topics, including signal processing, smart sensors, autonomous systems, remote sensing and support, UAV platforms for SHM, Internet of Things, Industry 4.0, and SHM for civil structures and infrastructures. The contributions, which are published after a rigorous international peer-review process, highlight numerous exciting ideas that will spur novel research directions and foster multidisciplinary collaboration among different specialists.

Dissertation Abstracts International

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ISBN 13 :
Total Pages : 918 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2005 with total page 918 pages. Available in PDF, EPUB and Kindle. Book excerpt: