Theory of waves in materials

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Book Rating : 179/5 ( reviews)

Theory of waves in materials - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of waves in materials write by . This book was released on . Theory of waves in materials available in PDF, EPUB and Kindle.

Stress Waves in Solids

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Release : 1963-01-01
Genre : Technology & Engineering
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Book Rating : 985/5 ( reviews)

Stress Waves in Solids - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stress Waves in Solids write by Herbert Kolsky. This book was released on 1963-01-01. Stress Waves in Solids available in PDF, EPUB and Kindle. The most readable survey of the theoretical core of current knowledge available. The author gives a concise account of the classical theory necessary to an understanding of the subject and considers how this theory has been extended to solids.

An Introduction to the Mathematical Theory of Waves

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Release : 2000
Genre : Mathematics
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Book Rating : 397/5 ( reviews)

An Introduction to the Mathematical Theory of Waves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to the Mathematical Theory of Waves write by Roger Knobel. This book was released on 2000. An Introduction to the Mathematical Theory of Waves available in PDF, EPUB and Kindle. This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. The second part of the book discusses traveling waves, leading to a description of solitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions are constructed via d'Alembert's formula and Fourier series.The last part of the book discusses waves arising from conservation laws. After deriving and discussing the scalar conservation law, its solution is described using the method of characteristics, leading to the formation of shock and rarefaction waves. Applications of these concepts are then given for models of traffic flow. The intent of this book is to create a text suitable for independent study by undergraduate students in mathematics, engineering, and science. The content of the book is meant to be self-contained, requiring no special reference material. Access to computer software such as MathematicaR, MATLABR, or MapleR is recommended, but not necessary. Scripts for MATLAB applications will be available via the Web. Exercises are given within the text to allow further practice with selected topics.

Wave Propagation in Elastic Solids

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Release : 2016-01-21
Genre : Science
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Book Rating : 733/5 ( reviews)

Wave Propagation in Elastic Solids - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wave Propagation in Elastic Solids write by J. D. Achenbach. This book was released on 2016-01-21. Wave Propagation in Elastic Solids available in PDF, EPUB and Kindle. Wave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.

Wave Propagation in Elastic Solids

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Release : 2012-12-02
Genre : Science
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Book Rating : 714/5 ( reviews)

Wave Propagation in Elastic Solids - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wave Propagation in Elastic Solids write by Jan Achenbach. This book was released on 2012-12-02. Wave Propagation in Elastic Solids available in PDF, EPUB and Kindle. The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.