Waves And Rays In Elastic Continua Fourth Edition

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Waves And Rays In Elastic Continua (Fourth Edition)

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Author : Michael A Slawinski
Publisher : World Scientific
ISBN 13 : 9811226423
Total Pages : 680 pages
Book Rating : 4.8/5 (112 download)

Book Synopsis Waves And Rays In Elastic Continua (Fourth Edition) by : Michael A Slawinski

Download or read book Waves And Rays In Elastic Continua (Fourth Edition) written by Michael A Slawinski and published by World Scientific. This book was released on 2020-09-24 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismology, as a branch of mathematical physics, is an active subject of both research and development. Its reliance on computational and technological advances continuously motivates the developments of its underlying theory. The fourth edition of Waves and Rays in Elastic Continua responds to these needs.The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for the senior undergraduate and graduate courses, as well as for an independent study. Used in its entirety, the book could serve as a sole textbook for a year-long course in quantitative seismology. Its parts, however, are designed to be used independently for shorter courses with different emphases. The book is not limited to quantitive seismology; it can serve as a textbook for courses in mathematical physics or applied mathematics.

Waves And Rays In Elastic Continua (3rd Edition)

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Author : Michael A Slawinski
Publisher : World Scientific Publishing Company
ISBN 13 : 9814644218
Total Pages : 654 pages
Book Rating : 4.8/5 (146 download)

Book Synopsis Waves And Rays In Elastic Continua (3rd Edition) by : Michael A Slawinski

Download or read book Waves And Rays In Elastic Continua (3rd Edition) written by Michael A Slawinski and published by World Scientific Publishing Company. This book was released on 2014-12-15 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book — which is the third, significantly revised edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

Waves and Rays in Elastic Continua (Fourth Edition)

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Author : Michael A. Slawinski
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811226403
Total Pages : 680 pages
Book Rating : 4.2/5 (264 download)

Book Synopsis Waves and Rays in Elastic Continua (Fourth Edition) by : Michael A. Slawinski

Download or read book Waves and Rays in Elastic Continua (Fourth Edition) written by Michael A. Slawinski and published by World Scientific Publishing Company. This book was released on 2020-09-14 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismology, as a branch of mathematical physics, is an active subject of both research and development. Its reliance on computational and technological advances continuously motivates the developments of its underlying theory. The fourth edition of Waves and Rays in Elastic Continua responds to these needs. The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for the senior undergraduate and graduate courses, as well as for an independent study. Used in its entirety, the book could serve as a sole textbook for a year-long course in quantitative seismology. Its parts, however, are designed to be used independently for shorter courses with different emphases. The book is not limited to quantitive seismology; it can serve as a textbook for courses in mathematical physics or applied mathematics.

Waves And Rays In Elastic Continua

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Author : Michael A Slawinski
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107677
Total Pages : 614 pages
Book Rating : 4.8/5 (131 download)

Book Synopsis Waves And Rays In Elastic Continua by : Michael A Slawinski

Download or read book Waves And Rays In Elastic Continua written by Michael A Slawinski and published by World Scientific Publishing Company. This book was released on 2010-09-09 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book — which is the second, and significantly extended, edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition)

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Author : Michael A Slawinski
Publisher : World Scientific
ISBN 13 : 9811226458
Total Pages : 654 pages
Book Rating : 4.8/5 (112 download)

Book Synopsis Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition) by : Michael A Slawinski

Download or read book Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition) written by Michael A Slawinski and published by World Scientific. This book was released on 2020-11-20 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on seismology dealing with advanced aspects of wave propagation in complex media. It can also be viewed as a book on mathematical modelling, wherein the accuracy of describing seismic phenomena exemplifies the modelling itself. The book gives an insight into the power of abstractness by applying the same mathematical methods and strategies to solve a variety of different physical problems. This book covers a broad range of topics in an advanced yet accessible manner. Each chapter is accompanied by a number of solved exercises, which render the book convenient for a lecturer and facilitate its use for an independent study. The details of mathematical methods are discussed in the appendices, which form a substantial portion of the book.

Wavefronts And Rays As Characteristics And Asymptotics (Third Edition)

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Author : Andrej Bona
Publisher : World Scientific
ISBN 13 : 9811226482
Total Pages : 357 pages
Book Rating : 4.8/5 (112 download)

Book Synopsis Wavefronts And Rays As Characteristics And Asymptotics (Third Edition) by : Andrej Bona

Download or read book Wavefronts And Rays As Characteristics And Asymptotics (Third Edition) written by Andrej Bona and published by World Scientific. This book was released on 2020-09-24 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Characteristics and asymptotics of partial differential equations play an important role in mathematical physics since they lead to insightful solutions of complex problems that might not be solvable otherwise. They constitute, however, a difficult subject, and the purpose of this book, with its additions and refinements that led to its third edition, is to present this subject in an accessible manner, without decreasing the rigor. As any method, characteristics and asymptotics have their limitations. This important issue is addressed in the last chapter, where we discuss caustics, which must be understood in applications of the method, and which constitute a fertile ground for further mathematical research.The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for senior undergraduate and graduate courses, as well as for independent studies. Six appendices are provided, which form a self-contained course on applied mathematics and can be used as a textbook on its own.

Seismic Waves and Rays in Elastic Media

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Author : Michael A. Slawinski
Publisher : Elsevier
ISBN 13 : 9780080439303
Total Pages : 401 pages
Book Rating : 4.4/5 (393 download)

Book Synopsis Seismic Waves and Rays in Elastic Media by : Michael A. Slawinski

Download or read book Seismic Waves and Rays in Elastic Media written by Michael A. Slawinski and published by Elsevier. This book was released on 2003 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to explore seismic phenomena in elastic media and emphasizes the interdependence of mathematical formulation and physical meaning. The purpose of this title - which is intended for senior undergraduate and graduate students as well as scientists interested in quantitative seismology - is to use aspects of continuum mechanics, wave theory and ray theory to describe phenomena resulting from the propagation of waves. The book is divided into three parts: Elastic continua, Waves and rays, and Variational formulation of rays. In Part I, continuum mechanics are used to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such material. In Part II, these equations are used to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, the high-frequency approximation is used and establishes the concept of a ray. In Part III, it is shown that in elastic continua a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary travel time.

Mathematical methods for wave propagation in science and engineering

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Author : Mario Durán
Publisher : Ediciones UC
ISBN 13 : 9561413140
Total Pages : 262 pages
Book Rating : 4.5/5 (614 download)

Book Synopsis Mathematical methods for wave propagation in science and engineering by : Mario Durán

Download or read book Mathematical methods for wave propagation in science and engineering written by Mario Durán and published by Ediciones UC. This book was released on 2017 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of books deals with the mathematical modeling and computational simulation of complex wave propagation phenomena in science and engineering. This first volume of the series introduces the basic mathematical and physical fundamentals, and it is mainly intended as a reference guide and a general survey for scientists and engineers. It presents a broad and practical overview of the involved foundations, being useful as much in industrial research, development, and innovation activities, as in academic labors.

Waves And Rays In Seismology: Answers To Unasked Questions (Second Edition)

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Author : Michael A Slawinski
Publisher : World Scientific
ISBN 13 : 9813239891
Total Pages : 577 pages
Book Rating : 4.8/5 (132 download)

Book Synopsis Waves And Rays In Seismology: Answers To Unasked Questions (Second Edition) by : Michael A Slawinski

Download or read book Waves And Rays In Seismology: Answers To Unasked Questions (Second Edition) written by Michael A Slawinski and published by World Scientific. This book was released on 2018-05-04 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'In summary, Professor Slawinski has written an engaging volume covering an unfamiliar topic in a highly accessible fashion. Non-specialists will gain a significant appreciation of the unique complexities associated with seismology.'Contemporary PhysicsThe author dedicates this book to readers who are concerned with finding out the status of concepts, statements and hypotheses, and with clarifying and rearranging them in a logical order. It is thus not intended to teach tools and techniques of the trade, but to discuss the foundations on which seismology — and in a larger sense, the theory of wave propagation in solids — is built. A key question is: why and to what degree can a theory developed for an elastic continuum be used to investigate the propagation of waves in the Earth, which is neither a continuum nor fully elastic. But the scrutiny of the foundations goes much deeper: material symmetry, effective tensors, equivalent media; the influence (or, rather, the lack thereof) of gravitational and thermal effects and the rotation of the Earth, are discussed ab initio. The variational principles of Fermat and Hamilton and their consequences for the propagation of elastic waves, causality, Noether's theorem and its consequences on conservation of energy and conservation of linear momentum are but a few topics that are investigated in the process to establish seismology as a science and to investigate its relation to subjects like realism and empiricism in natural sciences, to the nature of explanations and predictions, and to experimental verification and refutation.In the second edition, new sections, figures, examples, exercises and remarks are added. Most importantly, however, four new appendices of about one-hundred pages are included, which can serve as a self-contained continuum-mechanics course on finite elasticity. Also, they broaden the scope of elasticity theory commonly considered in seismology.

Elastic Waves

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Author : Vassily Babich
Publisher : CRC Press
ISBN 13 : 1315314746
Total Pages : 227 pages
Book Rating : 4.3/5 (153 download)

Book Synopsis Elastic Waves by : Vassily Babich

Download or read book Elastic Waves written by Vassily Babich and published by CRC Press. This book was released on 2018-04-09 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness.

Waves and Rays in Elastic Continua

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Author : Michael A. Slawinski
Publisher : World Scientific
ISBN 13 : 9814289000
Total Pages : 614 pages
Book Rating : 4.8/5 (142 download)

Book Synopsis Waves and Rays in Elastic Continua by : Michael A. Slawinski

Download or read book Waves and Rays in Elastic Continua written by Michael A. Slawinski and published by World Scientific. This book was released on 2010 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the textbook that was first published by Elsevier Science. Professor Slawinski has the copyright to the textbook and the second edition is significantly extended. The present book emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves. The book is divided into three main sections: elastic continua, waves and rays and variational formulation of rays. There is also a fourth part, which consists of appendices. In Part 1, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Part 2, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we use the high-frequency approximation and, hence, establish the concept of a ray. In Part 3, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In Part 4, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

Wave Propagation in Elastic Solids

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Author : Jan Achenbach
Publisher : Elsevier
ISBN 13 : 0080934714
Total Pages : 440 pages
Book Rating : 4.0/5 (89 download)

Book Synopsis Wave Propagation in Elastic Solids by : Jan Achenbach

Download or read book Wave Propagation in Elastic Solids written by Jan Achenbach and published by Elsevier. This book was released on 2012-12-02 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Excitation and Propagation of Elastic Waves

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Author : J. A. Hudson
Publisher : Cambridge University Press
ISBN 13 : 9780521318679
Total Pages : 236 pages
Book Rating : 4.3/5 (186 download)

Book Synopsis The Excitation and Propagation of Elastic Waves by : J. A. Hudson

Download or read book The Excitation and Propagation of Elastic Waves written by J. A. Hudson and published by Cambridge University Press. This book was released on 1984-09-27 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paperback edition of Dr Hudson's advanced textbook presents the theory of small disturbances propagating through solids. The material is set out carefully in mathematical detail. The linearised theory of elasticity has now been replaced by a more fundamental approach based on a generalised theory of continuum mechanics. Despite this change of emphasis in solid mechanics there remain important areas of physics in which the linear theory is clearly of fundamental importance, especially in seismology, noise analysis and the non-destructive testing of materials. This is a textbook suitable for advanced undergraduates in a variety of disciplines, including applied mathematics, applied physics, geophysics and structural and civil engineering. The book is of particular interest to seismologists and physicists engaged in non-destructive testing.

Ray Methods for Waves in Elastic Solids

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Author : J. D. Achenbach
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.:/5 (5 download)

Book Synopsis Ray Methods for Waves in Elastic Solids by : J. D. Achenbach

Download or read book Ray Methods for Waves in Elastic Solids written by J. D. Achenbach and published by Pitman Advanced Publishing Program. This book was released on 1982 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Leading Edge

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Author :
Publisher :
ISBN 13 :
Total Pages : 706 pages
Book Rating : 4.F/5 ( download)

Book Synopsis The Leading Edge by :

Download or read book The Leading Edge written by and published by . This book was released on 2005 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ray Methods for Waves in Elastic Solids

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Author : J. D. Achenbach
Publisher : Halsted Press
ISBN 13 : 9780470204009
Total Pages : 272 pages
Book Rating : 4.2/5 (4 download)

Book Synopsis Ray Methods for Waves in Elastic Solids by : J. D. Achenbach

Download or read book Ray Methods for Waves in Elastic Solids written by J. D. Achenbach and published by Halsted Press. This book was released on 1986-05-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classics of Elastic Wave Theory

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Author :
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Classics of Elastic Wave Theory by :

Download or read book Classics of Elastic Wave Theory written by and published by . This book was released on 2007 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 16 classic essays from the 17th to the 21st centuries on aspects of elastic wave theory.