Wave Propagation In Dissipative Material
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Wave Propagation In Dissipative Materials
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Author : B.D. Coleman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Wave Propagation In Dissipative Materials written by B.D. Coleman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Common experience reveals two basic aspects of wave propagation. First, while preserving their identity and travelling at definite speeds, sounds finally die out. Second, weak sounds may combine to form strong noises. Theories of acoustic propagation have succeeded in representing these aspects of experience separately, but never combined as in nature. The classical theories of sound in perfect fluids and elastic solids easily yield common speeds of propagation for plane infinitesimal disturbances, but no damping. Moreover, within EULER'S theory of the perfect fluid, or its generalization, the GREEN-KIRCHHOFF-KELVIN theory of finite elasticity, weak waves may grow stronger and become shock waves, which propagate according to more complicated but equally definite principles. Effects of internal damping are easily added for theories of infinitesimal deformation, but for finite motions a dead end was reached about sixty years ago. Indeed, in 1901 DUHEM proved that according to the NAVIER-STOKES theory of fluids acceleration waves and waves of higher order cannot exist, and for shock waves he claimed a similar result, which has since been shown to be valid subject to certain qualifications. So as to save the phenomena of sound and noise, as was necessary if the NAVIER-STOKES theory was to deserve the place proposed for it as a refinement upon EULER'S theory, DUHEM introduced the concept of "quasi-wave", a region of rapid but continuous transition.
Wave Propagation In Dissipative Material
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Author : B. D. Coleman
language : en
Publisher:
Release Date : 1965-01-01
Wave Propagation In Dissipative Material written by B. D. Coleman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-01-01 with categories.
Wave Propagation In Dissipative Materials
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Author : Bernard David Coleman
language : en
Publisher:
Release Date : 1965
Wave Propagation In Dissipative Materials written by Bernard David Coleman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Wave-motion, Theory of categories.
Wave Propagation In Materials And Structures
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Author : Srinivasan Gopalakrishnan
language : en
Publisher: CRC Press
Release Date : 2016-11-03
Wave Propagation In Materials And Structures written by Srinivasan Gopalakrishnan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-03 with Science categories.
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.
Inhomogeneous Waves In Solids And Fluids
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Author : Giacomo Caviglia
language : en
Publisher: World Scientific
Release Date : 1992
Inhomogeneous Waves In Solids And Fluids written by Giacomo Caviglia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
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.
Elastic Wave Propagation In Structures And Materials
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Author : Srinivasan Gopalakrishnan
language : en
Publisher: CRC Press
Release Date : 2022-08-29
Elastic Wave Propagation In Structures And Materials written by Srinivasan Gopalakrishnan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-29 with Science categories.
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 Propagation In Dissipative Materials
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Author : Bernard D. Coleman
language : en
Publisher:
Release Date : 1965
Wave Propagation In Dissipative Materials written by Bernard D. Coleman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Wave-motion, Theory of categories.
Erda Energy Research Abstracts
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Author : United States. Energy Research and Development Administration
language : en
Publisher:
Release Date : 1976
Erda Energy Research Abstracts written by United States. Energy Research and Development Administration and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Energy conservation categories.
Surface Wave Methods For Near Surface Site Characterization
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Author : Sebastiano Foti
language : en
Publisher: CRC Press
Release Date : 2014-08-21
Surface Wave Methods For Near Surface Site Characterization written by Sebastiano Foti and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-21 with Science categories.
Develop a Greater Understanding of How and Why Surface Wave Testing WorksUsing examples and case studies directly drawn from the authors' experience, Surface Wave Methods for Near-Surface Site Characterization addresses both the experimental and theoretical aspects of surface wave propagation in both forward and inverse modeling. This book accents
Electromagnetism Of Continuous Media
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Author : Mauro Fabrizio
language : en
Publisher: Oxford University Press
Release Date : 2003-06-05
Electromagnetism Of Continuous Media written by Mauro Fabrizio and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-05 with Mathematics categories.
For graduate students and researchers, this self contained text provides a carefully structured, coherent, and comprehensive treatment of the mathematical modelling in electromagnetism of continuous media. The authors provide a systematic review of known subjects along with many original results. Part I reviews basic notions and approaches in electromagnetism (Maxwell's equations, Green's functions, harmonic fields, dispersive effects) and emphasizes the physical motivation for the modelling of non-conventional materials. The frequency-dependent properties (such as conductivity, polarizability, and magnetizability), which enter wave diffraction and dispersion, are shown, and these lead to a discussion of models of materials with fading memory in the time domain. Part II develops the thermodynamics of electromagnetic and thermoelectromagnetic materials with memory and provides a systematic account of thermodynamic restrictions. Existence, uniqueness and stability problems are investigated. Also, variational formulations and wave propagation solution are established. Part III is devoted to more involved models which are motivated by the interest in materials and structures with non-conventional properties. The mathematical modelling deals with non-linearity, non-locality and hysteresis. In non-linear materials attention is focussed on the generation of harmonics and in discontinuity waves. Non-locality is examined in a general way and hence is applied to superconductivity. Hysteresis is developed for magnetism. A review of known schemes is given along with new results about the modelling of hysteresis loops. The wide application of technologies in new mechanical, electronic and biomedical systems calls for materials and structures with non-conventional properties (e.g materials with 'memory'). Of equal importance is the understanding of the physical behaviour of these materials and consequently developing mathematical modelling techniques for prediction. Includes appendices that include some properties of Bessel functions, Fourier transforms and Sobolev spaces, compact operators and eigenfunctions, differential operators in curvilinear coordinates, and finite formulation of electromagnetism.