Wave Motion In Elastic Solids

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Wave Motion In Elastic Solids

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Author : Karl F. Graff
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26

Wave Motion In Elastic Solids written by Karl F. Graff and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Science categories.

Self-contained coverage of topics ranging from elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Over 100 problems.

Stress Waves In Solids

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Author : Herbert Kolsky
language : en
Publisher: Courier Corporation
Release Date : 1963-01-01

Stress Waves In Solids written by Herbert Kolsky and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963-01-01 with Technology & Engineering categories.

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.

Questions About Elastic Waves

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Author : Jüri Engelbrecht
language : en
Publisher: Springer
Release Date : 2015-03-05

Questions About Elastic Waves written by Jüri Engelbrecht and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-05 with Mathematics categories.

This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the sake of completeness. Special attention is paid to the understanding of the influence of microstructure, nonlinearity and internal variables in continua. With the help of many mathematical models for describing waves, physical phenomena concerning wave dispersion, nonlinear effects, emergence of solitary waves, scales and hierarchies of waves as well as the governing physical parameters are analysed. Also, the energy balance in waves and non-conservative models with energy influx are discussed. Finally, all answers are interwoven into the canvas of complexity.

Elastic Wave Propagation In Transversely Isotropic Media

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Author : R.C. Payton
language : en
Publisher: Springer Science & Business Media
Release Date : 1983-10-31

Elastic Wave Propagation In Transversely Isotropic Media written by R.C. Payton 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 1983-10-31 with Science categories.

In this monograph I record those parts of the theory of transverse isotropic elastic wave propagation which lend themselves to an exact treatment, within the framework of linear theory. Emphasis is placed on transient wave motion problems in two- and three-dimensional unbounded and semibounded solids for which explicit results can be obtained, without resort to approximate methods of integration. The mathematical techniques used, many of which appear here in book form for the first time, will be of interest to applied mathematicians, engeneers and scientists whose specialty includes crystal acoustics, crystal optics, magnetogasdynamics, dislocation theory, seismology and fibre wound composites. My interest in the subject of anisotropic wave motion had its origin in the study of small deformations superposed on large deformations of elastic solids. By varying the initial stretch in a homogeneously deformed solid, it is possible to synthesize aniso tropic materials whose elastic parameters vary continuously. The range of the parameter variation is limited by stability considerations in the case of small deformations super posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids. The full implication of hyperbolicity for anisotropic elastic solids has never been previously examined, and even now the constraints which it imposes on the elasticity constants have only been examined for the class of transversely isotropic (hexagonal crystals) materials.

Classics Of Elastic Wave Theory

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Author : Michael A. Pelissier
language : en
Publisher: SEG Books
Release Date : 2007

Classics Of Elastic Wave Theory written by Michael A. Pelissier and has been published by SEG Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.

This volume contains 16 classic essays from the 17th to the 21st centuries on aspects of elastic wave theory.

Elastic Waves In Anisotropic Laminates

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Author : G.R. Liu
language : en
Publisher: CRC Press
Release Date : 2001-11-13

Elastic Waves In Anisotropic Laminates written by G.R. Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-13 with Technology & Engineering categories.

Ultrasonic non-destructive evaluation (NDE) plays an increasingly important role in determining properties and detecting defects in composite materials, and the analysis of wave behavior is crucial to effectively using NDE techniques. The complexity of elastic wave propagation in anisotropic media has led to a reliance on numerical methods of analysis-methods that are often quite time-consuming and whose results yield even further difficulties in extracting explicit phenomena and characteristics. Innovative and insightful, Elastic Waves in Anisotropic Laminates establishes a set of high-performance, analytical-numerical methods for elastic wave analysis of anisotropic layered structures. The treatment furnishes a comprehensive introduction, sound theoretical development, and applications to smart materials, plates, and shells. The techniques, detailed in both the time and frequency domains, include methods that combine the finite element method (FEM) with the Fourier transform approach and the strip element method (SEM). These -methods can also be used for expediently finding the Green's function for anisotropic laminates useful for inverse problems related to wave propagation, and methods for inverse analyses, including conjugate gradient methods, and genetic algorithms are also introduced. The text is complemented by many examples generated using software codes based on the techniques developed. Filled with charts and illustrations, Elastic Waves in Anisotropic Laminates is accessible even to readers from non-engineering backgrounds and offers a unique opportunity to discover methods that can lead to an understanding of the dynamic characteristics and wave motion behaviors of advanced composite materials.

Applied Wave Mathematics Ii

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Author : Arkadi Berezovski
language : en
Publisher: Springer Nature
Release Date : 2019-11-16

Applied Wave Mathematics Ii written by Arkadi Berezovski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-16 with Mathematics categories.

This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.

Linear And Non Linear Deformations Of Elastic Solids

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Author : Arabinda Roy
language : en
Publisher: CRC Press
Release Date : 2019-12-06

Linear And Non Linear Deformations Of Elastic Solids written by Arabinda Roy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Technology & Engineering categories.

Linear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.

Ultrasound And Elastic Waves

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Author : Brian Michael Lempriere
language : en
Publisher: Elsevier
Release Date : 2003-11-13

Ultrasound And Elastic Waves written by Brian Michael Lempriere and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-13 with Science categories.

Ultrasound has found an increasing number of applications in recent years due to greatly increased computing power. Ultrasound devices are often preferred over other devices because of their lower cost, portability, and non-invasive nature. Patients using ultrasound can avoid the dangers of radiological imaging devices such as x-rays, CT scans, and radioactive media injections. Ultrasound is also a preferred and practical method of detecting material fatique and defects in metals, composites, semiconductors, wood, etc. - Detailed appendices contain useful formulas and their derivations, technical details of relevant theories - The FAQ format is used where a concept in one answer leads to a new Q

Wave Motion

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Author : J. Billingham
language : en
Publisher: Cambridge University Press
Release Date : 2001-01-22

Wave Motion written by J. Billingham and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-22 with Mathematics categories.

Waves are a ubiquitous and important feature of the physical world, and, throughout history, it has been a major challenge to understand them. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as with fluid mechanics, elasticity, and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.