Inhomogeneous Waves In Solids And Fluids

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Inhomogeneous Waves in Solids and Fluids

Giacomo Caviglia,Angelo Morro
Inhomogeneous Waves in Solids and Fluids Book PDF

Author : Giacomo Caviglia,Angelo Morro
Publisher : World Scientific
Page : 316 pages
File Size : 40,9 Mb
Release : 1992-10-09
Category : Science
ISBN : 9789814505932

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Inhomogeneous Waves in Solids and Fluids by Giacomo Caviglia,Angelo Morro Pdf

The book may be viewed as an introduction to time-harmonic waves in dissipative bodies, notably viscoelastic solids and fluids. The inhomogeneity of the waves, which is due to the fact that planes of constant phase are not parallel to planes of constant amplitude, is shown to be strictly related to the dissipativity of the medium. A preliminary analysis is performed on the propagation of inhomogeneous waves in unbounded media and of reflection and refraction at plane interfaces. Then emphasis is given to those features that are of significance for applications. In essence, they regard surface waves, scattering by (curved) obstacles, wave propagation in layered heterogeneous media, and ray methods. The pertinent mathematical techniques are discussed so as to make the book reasonably self-contained. Contents:Inhomogeneous WavesModelling of Dissipative MediaInhomogeneous Waves in Unbounded MediaReflection and RefractionSurface WavesWave Propagation in Multilayered MediaScattering by ObstaclesPerturbation Methods in Heterogeneous MediaRay Method for Heterogeneous Dissipative Media Readership: Graduate students in mechanics, mathematical physics, applied mathematics, engineers, mathematicians, physicists and geologists. keywords:Inhomogenous Waves;Reflection and Refraction;Surface Waves;Scattering;Ray Method;Waves in Multilayers;Waves in Heterogeneous Media“The book offers a well planned, systematic development of the theory of propagation of inhomogeneous waves in dissipative and prestressed media. The importance of thermodynamic conditions to the propagation characteristics has been emphasized. Readers will find a wealth of information on advanced research materials in the book due to its inclusions of many applications from various applied disciplines e.g., seismology, NDE, and ocean acoustics.”Mathematics Abstracts “…. timely and useful. Indeed, as far as I know, this is the first book on inhomogeneous plane waves in solids and fluids.”Mathematical Reviews

Inhomogeneous Waves in Solids and Fluids

Giacomo Caviglia,Angelo Morro
Inhomogeneous Waves in Solids and Fluids Book PDF

Author : Giacomo Caviglia,Angelo Morro
Publisher : World Scientific
Page : 328 pages
File Size : 53,9 Mb
Release : 1992
Category : Science
ISBN : 9810208049

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Inhomogeneous Waves in Solids and Fluids by Giacomo Caviglia,Angelo Morro Pdf

The book may be viewed as an introduction to time-harmonic waves in dissipative bodies, notably viscoelastic solids and fluids. The inhomogeneity of the waves, which is due to the fact that planes of constant phase are not parallel to planes of constant amplitude, is shown to be strictly related to the dissipativity of the medium. A preliminary analysis is performed on the propagation of inhomogeneous waves in unbounded media and of reflection and refraction at plane interfaces. Then emphasis is given to those features that are of significance for applications. In essence, they regard surface waves, scattering by (curved) obstacles, wave propagation in layered heterogeneous media, and ray methods. The pertinent mathematical techniques are discussed so as to make the book reasonably self-contained.

Stability and Wave Propagation in Fluids and Solids

Giovanni Galdi
Stability and Wave Propagation in Fluids and Solids Book PDF

Author : Giovanni Galdi
Publisher : Springer
Page : 159 pages
File Size : 48,5 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709130049

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Stability and Wave Propagation in Fluids and Solids by Giovanni Galdi Pdf

The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.

Wave Propagation in Solids and Fluids

Julian L. Davis
Wave Propagation in Solids and Fluids Book PDF

Author : Julian L. Davis
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461238867

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Wave Propagation in Solids and Fluids by Julian L. Davis Pdf

The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.

The interaction of complex harmonic elastic waves with periodically corrugated surfaces and with anisotropic viscoelastic and/or piezoelectric layered media.

Nico F. Declercq
The interaction of complex harmonic elastic waves with periodically corrugated surfaces and with anisotropic viscoelastic and or piezoelectric layered media Book PDF

Author : Nico F. Declercq
Publisher : Nico F. Declercq
Page : 838 pages
File Size : 53,8 Mb
Release : 2005-05-12
Category : Science
ISBN : 9789085780144

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The interaction of complex harmonic elastic waves with periodically corrugated surfaces and with anisotropic viscoelastic and/or piezoelectric layered media. by Nico F. Declercq Pdf

Unabridged Ph.D. Thesis with thesis defense photos and presentation at the end.

Waves And Stability In Continuous Media - Proceedings Of The Vii Conference

Salvatore Rionero,Tommaso Ruggeri
Waves And Stability In Continuous Media Proceedings Of The Vii Conference Book PDF

Author : Salvatore Rionero,Tommaso Ruggeri
Publisher : World Scientific
Page : 449 pages
File Size : 48,9 Mb
Release : 1994-10-24
Category : Electronic
ISBN : 9789814550451

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Waves And Stability In Continuous Media - Proceedings Of The Vii Conference by Salvatore Rionero,Tommaso Ruggeri Pdf

This volume presents an up-to-date overview of some of the most important topics in waves and stability in continuous media. The topics are: Discontinuity and Shock Waves; Linear and Non-Linear Stability in Fluid Dynamics; Kinetic Theories and Comparison with Continuum Models; Propagation and Non-Equilibrium Thermodynamics; and Numerical Applications.

Elastic Wave Propagation in Structures and Materials

Srinivasan Gopalakrishnan
Elastic Wave Propagation in Structures and Materials Book PDF

Author : Srinivasan Gopalakrishnan
Publisher : CRC Press
Page : 385 pages
File Size : 48,7 Mb
Release : 2022-08-29
Category : Science
ISBN : 9781000636512

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Elastic Wave Propagation in Structures and Materials by Srinivasan Gopalakrishnan Pdf

Elastic Wave Propagation in Structures and Materials initiates with a brief introduction to wave propagation, different wave equations, integral transforms including fundamentals of Fourier Transform, Wavelet Transform, Laplace Transform and their numerical implementation. Concept of spectral analysis and procedure to compute the wave parameters, wave propagation in 1-D isotropic waveguides, wave dispersion in 2-D waveguides is explained. Wave propagation in different media such as laminated composites, functionally graded structures, granular soils including non-local elasticity models is addressed. The entire book is written in modular form and analysis is performed in frequency domain. Features: Brings out idea of wave dispersion and its utility in the dynamic responses. Introduces concepts as Negative Group Speeds, Einstein’s Causality and escape frequencies using solid mathematical framework. Discusses the propagation of waves in materials such as laminated composites and functionally graded materials. Proposes spectral finite element as analysis tool for wave propagation. Each concept/chapter supported by homework problems and MATLAB/FORTRAN codes. This book aims at Senior Undergraduates and Advanced Graduates in all streams of engineering especially Mechanical and Aerospace Engineering.

Wave Fields in Real Media

José M. Carcione
Wave Fields in Real Media Book PDF

Author : José M. Carcione
Publisher : Elsevier
Page : 690 pages
File Size : 44,5 Mb
Release : 2014-12-08
Category : Science
ISBN : 9780081000038

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Wave Fields in Real Media by José M. Carcione Pdf

Authored by the internationally renowned José M. Carcione, Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant stress-strain relations. The combination of this relation and the equations of momentum conservation lead to the equation of motion. The differential formulation is written in terms of memory variables, and Biot's theory is used to describe wave propagation in porous media. For each rheology, a plane-wave analysis is performed in order to understand the physics of wave propagation. This book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics, and material science - including many branches of acoustics of fluids and solids - may also find this text useful. New to this edition: This new edition presents the fundamentals of wave propagation in Anisotropic, Anelastic, Porous Media while also incorporating the latest research from the past 7 years, including that of the author. The author presents all the equations and concepts necessary to understand the physics of wave propagation. These equations form the basis for modeling and inversion of seismic and electromagnetic data. Additionally, demonstrations are given, so the book can be used to teach post-graduate courses. Addition of new and revised content is approximately 30%. Examines the fundamentals of wave propagation in anisotropic, anelastic and porous media Presents all equations and concepts necessary to understand the physics of wave propagation, with examples Emphasizes geophysics, particularly, seismic exploration for hydrocarbon reservoirs, which is essential for exploration and production of oil

Theory of Elastic Waves

Peijun Wei
Theory of Elastic Waves Book PDF

Author : Peijun Wei
Publisher : Springer Nature
Page : 371 pages
File Size : 53,8 Mb
Release : 2023-01-01
Category : Science
ISBN : 9789811956621

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Theory of Elastic Waves by Peijun Wei Pdf

This book highlights a systematic introduction to the basic theory of elastic wave propagation in complex media. The theory of elastic waves is widely used in fields such as geophysical exploration, seismic survey, medical ultrasound imaging, nondestructive testing of materials and structures, phononic crystals, metamaterials and structure health monitoring. To help readers develop a systematic grasp of the basic theory, and thus its applications, the book elaborates on the theory of elastic wave propagation in isotropic solid media, covering phenomena in infinite media, interfaces, layered structure with finite thickness, Rayleigh wave and Love wave propagating along the surface of semi-infinite solid and covering layer, and the guided waves and leaky waves in flat plates and in cylindrical rods. The propagation patterns and features of guided waves in cylindrical shells and spherical shells are also introduced. The author wrote the book based on a decade of teaching experience of a graduate course of the same name and two decades of research on the theory and applications. The book is a valuable reference for students, researchers and professionals who expect an understandable and comprehensive discussion of the theory, analytical methods and related research results.

Introduction to Wave Propagation in Nonlinear Fluids and Solids

D. S. Drumheller
Introduction to Wave Propagation in Nonlinear Fluids and Solids Book PDF

Author : D. S. Drumheller
Publisher : Cambridge University Press
Page : 546 pages
File Size : 46,6 Mb
Release : 1998-02-13
Category : Science
ISBN : 0521587468

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Introduction to Wave Propagation in Nonlinear Fluids and Solids by D. S. Drumheller Pdf

Waves occur widely in nature and have innumerable commercial uses. Pressure waves are responsible for the transmission of speech, bow waves created by meteors can virtually ignite the earth's atmosphere, ultrasonic waves are used for medical imaging, and shock waves are used for the synthesis of new materials. This book provides a thorough, modern introduction to the study of linear and nonlinear waves. Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models. It covers gases, liquids, and solids as integral parts of the subject. Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics. Graduate students, as well as professional engineers and applied physicists, will value this clear, comprehensive introduction to the study of wave phenomena.

Wave Propagation in Materials and Structures

Srinivasan Gopalakrishnan
Wave Propagation in Materials and Structures Book PDF

Author : Srinivasan Gopalakrishnan
Publisher : CRC Press
Page : 1153 pages
File Size : 44,7 Mb
Release : 2016-11-03
Category : Science
ISBN : 9781315354897

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Wave Propagation in Materials and Structures by Srinivasan Gopalakrishnan Pdf

This book focuses on basic and advanced concepts of wave propagation in diverse material systems and structures. Topics are organized in increasing order of complexity for better appreciation of the subject. Additionally, the book provides basic guidelines to design many of the futuristic materials and devices for varied applications. The material in the book also can be used for designing safer and more lightweight structures such as aircraft, bridges, and mechanical and structural components. The main objective of this book is to bring both the introductory and the advanced topics of wave propagation into one text. Such a text is necessary considering the multi-disciplinary nature of the subject. This book is written in a step-by step modular approach wherein the chapters are organized so that the complexity in the subject is slowly introduced with increasing chapter numbers. Text starts by introducing all the fundamental aspects of wave propagations and then moves on to advanced topics on the subject. Every chapter is provided with a number of numerical examples of increasing complexity to bring out the concepts clearly The solution of wave propagation is computationally very intensive and hence two different approaches, namely, the Finite Element method and the Spectral Finite method are introduced and have a strong focus on wave propagation. The book is supplemented by an exhaustive list of references at the end of the book for the benefit of readers.

Fundamentals of Inhomogeneous Fluids

Douglas Henderson
Fundamentals of Inhomogeneous Fluids Book PDF

Author : Douglas Henderson
Publisher : CRC Press
Page : 624 pages
File Size : 55,5 Mb
Release : 1992-08-28
Category : Science
ISBN : 0824787110

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Fundamentals of Inhomogeneous Fluids by Douglas Henderson Pdf

A monograph examining recent progress in the field of inhomogeneous fluids, focusing on the theoretical - as well as experimental - techniques used. It presents the comprehensive theory of first-order phase transitions, including melting, and contains numerous figures, tables and display equations.;The contributors treat such subjects as: exact sum rules for inhomogenous fluids, explaining density functional and integral equation methods; exact solutions for two-dimensional homogeneous and inhomogeneous plasmas; current advances in the theory of interfacial electrochemistry; wetting experiments and the theory of wetting; freezing, with an emphasis on quantum systems and homogeneous nucleation in liquid-vapour and solid-liquid transitions; self-organizing liquids as well as kinetic phenomena in inhomogeneous fluids, using a modified Enskog theory.;Featuring over 1000 bibliographic citations, this volume is aimed at physical, surface, colloid and surfactant chemists; also physicists, electrochemists and graduate-level students in these disciplines.

IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics

David F. Parker,Arthur H. England
IUTAM Symposium on Anisotropy Inhomogeneity and Nonlinearity in Solid Mechanics Book PDF

Author : David F. Parker,Arthur H. England
Publisher : Springer Science & Business Media
Page : 529 pages
File Size : 54,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9789401584944

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IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics by David F. Parker,Arthur H. England Pdf

Proceedings of the IUTAM-ISIMM Symposium, held in Nottingham, U.K., 30 August--3 September 1994

Poromechanics

J.F. Thimus,et al
Poromechanics Book PDF

Author : J.F. Thimus,et al
Publisher : CRC Press
Page : 666 pages
File Size : 51,8 Mb
Release : 2020-12-17
Category : Technology & Engineering
ISBN : 9781000100235

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Poromechanics by J.F. Thimus,et al Pdf

This text features 105 papers dealing with the fundamentals and the applications of poromechanics from the Biot conference of 1998, held in Louvain-la-Neuve. Topics include: wave propogation; numerical modelling; identification of poromechanical parameters; and constitutive modelling.

Fundamentals of Ultrasonic Nondestructive Evaluation

Lester W. Schmerr Jr.
Fundamentals of Ultrasonic Nondestructive Evaluation Book PDF

Author : Lester W. Schmerr Jr.
Publisher : Springer
Page : 758 pages
File Size : 44,5 Mb
Release : 2016-04-30
Category : Technology & Engineering
ISBN : 9783319304632

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Fundamentals of Ultrasonic Nondestructive Evaluation by Lester W. Schmerr Jr. Pdf

This extensively revised and updated second edition of a widely read classic presents the use of ultrasound in nondestructive evaluation (NDE) inspections. Retaining the first edition's use of wave propagation /scattering theory and linear system theory, this volume also adds significant new material including: the introduction of MATLAB® functions and scripts that evaluate key results involving beam propagation and scattering, flaw sizing, and the modeling of ultrasonic systems. elements of Gaussian beam theory and a multi-Gaussian ultrasonic beam model for bulk wave transducers. a new chapter on the connection between ultrasonic modeling and probability of detection (POD) and reliability models. new and improved derivations of ultrasonic measurement models. updated coverage of ultrasonic simulators that have been developed around the world. Students, engineers, and researchers working in the ultrasonic NDE field will find a wealth of information on the modeling of ultrasonic inspections and the fundamental ultrasonic experiments that support those models in this new edition.