Wave Propagation In Dissipative Materials

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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 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.

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.

Wave Propagation In Dissipative Or Dispersive Nonlinear Media

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Author : Mevlüt Teymur
language : en
Publisher:
Release Date : 1976

Wave Propagation In Dissipative Or Dispersive Nonlinear Media written by Mevlüt Teymur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Differential equations, Partial categories.

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.

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.

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.

Rational Thermodynamics

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Author : C. Truesdell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Rational Thermodynamics written by C. Truesdell 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.

In the first edition of this book I tried to survey in brief compass the main ideas, methods, and discoveries of rational thermodynamics as it then stood, only five years after Messrs. COLEMAN & NOLL, while in Baltimore, had written the fundamental memoir that provided for the new science the one root theretofore wanting. A survey in the same style today would require an almost wholly new book, three or four times as long. As it was in 1968, again in 1983 a consecutive treatise restricted to the foundations would be premature, for at this moment they are under earnest discussion, probing analysis, and powerful attack by several students and from several directions. Because, although in the first edition I expressed some opinions I no longer hold and made some statements I should now recast or even re tract, it seems even yet to offer a simple introduction to some aspects of the field that remain current, I have chosen to reprint it unaltered except for emendation of slips and bettering of the English here and there.

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