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Author: John G. Harris
Publisher: Cambridge University Press
ISBN: 9780521643832
Category : Mathematics
Languages : en
Pages : 184
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Book Description
An advanced level textbook on wave propagation and scattering directed at applied mathematicians, seismologists, and engineers.
Author: John G. Harris
Publisher: Cambridge University Press
ISBN: 9780521643832
Category : Mathematics
Languages : en
Pages : 184
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Book Description
An advanced level textbook on wave propagation and scattering directed at applied mathematicians, seismologists, and engineers.
Author: J. Miklowitz
Publisher: Elsevier
ISBN: 0080984045
Category : Technology & Engineering
Languages : en
Pages : 635
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Book Description
The primary objective of this book is to give the reader a basic understanding of waves and their propagation in a linear elastic continuum. The studies of elastodynamic theory and its application to fundamental value problems should prepare the reader to tackle many physical problems of general interest in engineering and geophysics, and of particular interest in mechanics and seismology.
Author: Jose Pujol
Publisher: Cambridge University Press
ISBN: 9780521817301
Category : Science
Languages : en
Pages : 462
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Book Description
Bridging the gap between introductory textbooks and advanced monographs, this book provides the necessary mathematical tools to tackle seismological problems and demonstrates how to apply them. Including student exercises, for which solutions are available on a dedicated website, it appeals to advanced undergraduate and graduate students. It is also a useful reference volume for researchers wishing to "brush up" on fundamentals before they study more advanced topics in seismology.
Author: R.C. Payton
Publisher: Springer Science & Business Media
ISBN: 9789024728435
Category : Science
Languages : en
Pages : 214
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Book Description
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.
Author: Fedor I. Fedorov
Publisher: Springer Science & Business Media
ISBN: 1475712758
Category : Science
Languages : en
Pages : 377
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Book Description
The translation into English of Academician Fedorov's ex cellent treatise on elastic wave propagation in solids has come at an opportune time. His systematic exposition of all aspects of this field is most lucid and straightforward. The author has gone to considerable pains to develop in his mathematical background a consistent tensor framework which acts as a unifying motif through out the various aspects of the subject. In many respects his approach will appear quite novel as his treatment introduces several concepts and parameters previously unfamiliar to the literature of the West. Extensive tables in the final chapters illustrate the application of these ideas to the exist ing body of experimental data. The book is both extensive and comprehensive in al1 phases of the subject. Workers in the fields of ultrasonic propagation and elastic properties will find this treatise of great interest and direct concern. H. B. Huntington Rensselaer Polytechnic Institute Troy, New York November 1967 v Preface to the American Edition In preparing this edition I have corrected various misprints and errors appearing in the Russian edition, but I have also incorpo rated some substantial changes and additions, the latter representing some results I and my colleagues have recently obtained and pub_ lished in Russian journals. For example, in section 32 I have added a general derivation of the equation for the seetion of the wave surface by a symmetry plane for cubic, hexagonal, tetragonal, and orthorhombic crystals.
Author: Lili Wang
Publisher: Elsevier
ISBN: 0080470971
Category : Technology & Engineering
Languages : en
Pages : 549
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Book Description
The primary objective of Foundations of Stress Waves is to give the reader an understanding of stress wave behaviour while taking into account the dynamic constitutive equations of elastic-plastic solids. The author has combined a 'materials characteristics' approach with a 'singularity surface' approach in this work, which readers will find to be a novel and unique route to solving their problems. - Helps engineers understand the effects and behavior of stress waves in various materials - Aids in the process of engineering design, testing, and evaluation
Author: E. Dieulesaint
Publisher: John Wiley & Sons
ISBN:
Category : Science
Languages : en
Pages : 536
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Book Description
Author: Herbert Kolsky
Publisher: Courier Corporation
ISBN: 0486610985
Category : Technology & Engineering
Languages : en
Pages : 226
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Book Description
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.
Author: Arkadi Berezovski
Publisher: Springer Nature
ISBN: 3030299511
Category : Mathematics
Languages : en
Pages : 396
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Book Description
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.
Author: A. Bedford
Publisher: Wiley
ISBN: 9780471967002
Category : Technology & Engineering
Languages : en
Pages : 312
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Book Description
Earthquakes are detected and studied by measuring the waves they create. Waves are transmitted through the Earth to detect oil and gas deposits and to study the Earth?s geological structure. Properties of materials are determined by measuring the behaviour of waves transmitted through them. In recent years, elastic waves transmitted through the human body have been used for medical diagnosis and therapy. Many students and professionals in various branches of engineering encounter problems requiring an understanding of elastic waves. In this book, they will find the basic concepts and methods of the theory of wave propagation in elastic materials. One-dimensional waves, transient waves and harmonic waves including reflections of plane waves at interfaces. Rayleigh waves, waves in elastic layers and in layered materials are discussed. Analytical methods in nonlinear wave propagation are presented. This book includes exercises with solutions and many explanatory figures.
