Kinetic And Continuum Theories Of Granular And Porous Media

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Kinetic and Continuum Theories of Granular and Porous Media

Author : Kolumban Hutter
Publisher : Springer
ISBN 13 : 3709124948
Total Pages : 312 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Kinetic and Continuum Theories of Granular and Porous Media by : Kolumban Hutter

Download or read book Kinetic and Continuum Theories of Granular and Porous Media written by Kolumban Hutter and published by Springer. This book was released on 2014-05-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an account on the thermomechanical behaviour of granular and porous materials and deals with experiments, theoretical deduction of macroscale equations by means of averaging from microscale properties, embedding the macroscopic description into a continuum-thermodynamical and statistical context and analysis of solutions of macroscopic models by numerical techniques. It addresses itself to engineers (chemical, civil, mechanical) applied mathematicians and physicists at the advanced student or Ph. D. level at universities, research centres and in industry.

Continuum Thermodynamics

Author : Wilmanski
Publisher : World Scientific
ISBN 13 : 9812835563
Total Pages : 416 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Continuum Thermodynamics by : Wilmanski

Download or read book Continuum Thermodynamics written by Wilmanski and published by World Scientific. This book was released on 2008 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models — ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts.The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.

Continuous Media with Microstructure 2

Author : Bettina Albers
Publisher : Springer
ISBN 13 : 3319282417
Total Pages : 416 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Continuous Media with Microstructure 2 by : Bettina Albers

Download or read book Continuous Media with Microstructure 2 written by Bettina Albers and published by Springer. This book was released on 2016-02-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents research advances in the field of Continuous Media with Microstructure and considers the three complementary pillars of mechanical sciences: theory, research and computational simulation. It focuses on the following problems: thermodynamic and mathematical modeling of materials with extensions of classical constitutive laws, single and multicomponent media including modern multifunctional materials, wave propagation, multiscale and multiphysics processes, phase transformations, and porous, granular and composite materials. The book presents the proceedings of the 2nd Conference on Continuous Media with Microstructure, which was held in 2015 in Łagów, Poland, in memory of Prof. Krzysztof Wilmański.

Continuum Thermodynamics - Part I

Author : Krzysztof Wilmanski
Publisher : World Scientific
ISBN 13 : 9812835571
Total Pages : 416 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Continuum Thermodynamics - Part I by : Krzysztof Wilmanski

Download or read book Continuum Thermodynamics - Part I written by Krzysztof Wilmanski and published by World Scientific. This book was released on 2008 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models OCo ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts. The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.

Continuum Thermodynamics - Part I: Foundations

Author : Krzysztof Wilmanski
Publisher : World Scientific
ISBN 13 : 981446970X
Total Pages : 416 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Continuum Thermodynamics - Part I: Foundations by : Krzysztof Wilmanski

Download or read book Continuum Thermodynamics - Part I: Foundations written by Krzysztof Wilmanski and published by World Scientific. This book was released on 2008-11-25 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models — ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts.The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.

Continuum Thermodynamics

Author : Bettina Albers
Publisher : World Scientific
ISBN 13 : 9814412384
Total Pages : 482 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Continuum Thermodynamics by : Bettina Albers

Download or read book Continuum Thermodynamics written by Bettina Albers and published by World Scientific. This book was released on 2014-11-12 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second part of Continuum Thermodynamics is designed to match almost one-to-one the chapters of Part I. This is done so that the reader studying thermodynamics will have a deepened understanding of the subjects covered in Part I. The aims of the book are in particular: the illustration of basic features of some simple thermodynamical models such as ideal and viscous fluids, non-Newtonian fluids, nonlinear solids, interactions with electromagnetic fields and diffusive porous materials. A further aim is the illustration of the above subjects by examples and simple solutions of initial and boundary problems as well as simple exercises to develop skills in the construction of interdisciplinary macroscopic models.

Continuum Thermodynamics - Part Ii: Applications And Examples

Author : Krzysztof Wilmanski
Publisher : World Scientific
ISBN 13 : 9814412392
Total Pages : 482 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Continuum Thermodynamics - Part Ii: Applications And Examples by : Krzysztof Wilmanski

Download or read book Continuum Thermodynamics - Part Ii: Applications And Examples written by Krzysztof Wilmanski and published by World Scientific. This book was released on 2014-11-12 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second part of Continuum Thermodynamics is designed to match almost one-to-one the chapters of Part I. This is done so that the reader studying thermodynamics will have a deepened understanding of the subjects covered in Part I. The aims of the book are in particular: the illustration of basic features of some simple thermodynamical models such as ideal and viscous fluids, non-Newtonian fluids, nonlinear solids, interactions with electromagnetic fields, and diffusive porous materials. A further aim is the illustration of the above subjects by examples and simple solutions of initial and boundary problems as well as simple exercises to develop skills in the construction of interdisciplinary macroscopic models.

Earthquake Thermodynamics and Phase Transformation in the Earth's Interior

Author : Roman Teisseyre
Publisher : Academic Press
ISBN 13 : 0080530656
Total Pages : 697 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Earthquake Thermodynamics and Phase Transformation in the Earth's Interior by : Roman Teisseyre

Download or read book Earthquake Thermodynamics and Phase Transformation in the Earth's Interior written by Roman Teisseyre and published by Academic Press. This book was released on 2000-10-19 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: A group of distinguished scientists contributes to the foundations of a new discipline in Earth sciences: earthquake thermodynamics and thermodynamics of formation of the Earth's interior structures. The predictive powers of thermodynamics are so great that those aspiring to model earthquake and the Earth's interior will certainly wish to be able to use the theory. Thermodynamics is our only method of understanding and predicting the behavior of many environmental, atmospheric, and geological processes. The need for Earth scientists to develop a functional knowledge of thermodynamic concepts and methodology is therefore urgent. Sources of an entropy increase the dissipative and self-organizing systems driving the evolution and dynamics of the Universe and Earth through irreversible processes. The non-linear interactions lead to the formation of fractal structures. From the structural phase transformations the important interior boundaries emerge.Non-linear interactions between the defects in solids lead the authors to develop the physics of continua with a dense distribution of defects. Disclinations and dislocations interact during a slow evolution as well as during rapid dynamic events, like earthquakes. Splitting the dynamic processes into the 2D fault done and 3D surrounding space brings a new tool for describing the slip nucleation and propagation along the earthquake faults. Seismic efficiency, rupture velocity, and complexity of seismic source zone are considered from different points of view, fracture band earthquake model is developed on the basis of thermodynamics of line defects, like dislocations. Earthquake thermodynamics offers us a microscopic model of earthquake sources.Physics of defects helps the authors decscribe and explain a number of precursory phenomena caused by the buildup of stresses. Anomalies in electric polarization and electromagnetic radiation prior to earthquakes are considered from this point of view. Through the thermodynamic approach, the authors arrive at the fascinating question of posssibility of earthquake prediction. In general, the Earth is considered here as a multicomponent system. Transport phenomena as well as wave propagation and shock waves are considered in this system subjected also to chemical and phase transformations.

Waves And Stability In Continuous Media - Proceedings Of The 10th Conference On Wascom 99

Author : Vicenzo Ciancio
Publisher : World Scientific
ISBN 13 : 9814542695
Total Pages : 530 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Waves And Stability In Continuous Media - Proceedings Of The 10th Conference On Wascom 99 by : Vicenzo Ciancio

Download or read book Waves And Stability In Continuous Media - Proceedings Of The 10th Conference On Wascom 99 written by Vicenzo Ciancio and published by World Scientific. This book was released on 2001-04-30 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical problems concerning time evolution of solutions related to nonlinear systems modelling dynamics of continuous media are of great interest both in wave propagation and in stability problems. During the last few decades many striking developments have taken place, especially in connection with the effects of nonlinearity of the equations describing physical situations.The articles in this book have been written by reputable specialists in the field and represent a valuable contribution to its advancement. The topics are: discontinuity and shock waves; linear and nonlinear stability in fluid dynamics; kinetic theories and comparison with continuum models; propagation and non-equilibrium thermodynamics; exact solutions via group methods; numerical applications.

Porous Media Transport Phenomena

Author : Faruk Civan
Publisher : John Wiley & Sons
ISBN 13 : 1118086805
Total Pages : 443 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Porous Media Transport Phenomena by : Faruk Civan

Download or read book Porous Media Transport Phenomena written by Faruk Civan and published by John Wiley & Sons. This book was released on 2011-07-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book that makes transport in porous media accessible to students and researchers alike Porous Media Transport Phenomena covers the general theories behind flow and transport in porous media a solid permeated by a network of pores filled with fluid which encompasses rocks, biological tissues, ceramics, and much more. Designed for use in graduate courses in various disciplines involving fluids in porous materials, and as a reference for practitioners in the field, the text includes exercises and practical applications while avoiding the complex math found in other books, allowing the reader to focus on the central elements of the topic. Covering general porous media applications, including the effects of temperature and particle migration, and placing an emphasis on energy resource development, the book provides an overview of mass, momentum, and energy conservation equations, and their applications in engineered and natural porous media for general applications. Offering a multidisciplinary approach to transport in porous media, material is presented in a uniform format with consistent SI units. An indispensable resource on an extremely wide and varied topic drawn from numerous engineering fields, Porous Media Transport Phenomena includes a solutions manual for all exercises found in the book, additional questions for study purposes, and PowerPoint slides that follow the order of the text.

Variational Models and Methods in Solid and Fluid Mechanics

Author : Francesco dell'Isola
Publisher : Springer Science & Business Media
ISBN 13 : 3709109833
Total Pages : 363 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Variational Models and Methods in Solid and Fluid Mechanics by : Francesco dell'Isola

Download or read book Variational Models and Methods in Solid and Fluid Mechanics written by Francesco dell'Isola and published by Springer Science & Business Media. This book was released on 2012-01-15 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. - B. Bourdin, G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling via Hamilton's principle. - V. L. Berdichevsky: Introduction to stochastic variational problems. - A. Carcaterra: New concepts in damping generation and control: theoretical formulation and industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo: Fluid shock wave generation at solid-material discontinuity surfaces in porous media. Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones. The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.

Rational Continua, Classical and New

Author : P. Podio-Guidugli
Publisher : Springer Science & Business Media
ISBN 13 : 8847022312
Total Pages : 212 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Rational Continua, Classical and New by : P. Podio-Guidugli

Download or read book Rational Continua, Classical and New written by P. Podio-Guidugli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Gianfranco Capriz on the occasion of his seventy-fifth birthday. This book collects about twenty research papers written by world-leading scientists in the field of continuum thermomechanics. The authors discuss a number of different theories, classical and new. Moreover, general underlying themes are both the exploration of the limits of the continuum approach (as it was consolidated between the late '50s and the early '70s) and the study of those amendments and extensions that would hopefully allow to treat mathematically a host of real-life problems that have been proposed, but not yet adequately modelled, within materials science, structural optimisation, biosciences, medical engineering, superconductivity, etc. The reader will find displayed the recent progresses in modelling non-standard material structures.

An Introduction to Fluid Mechanics

Author : Chung Fang
Publisher : Springer
ISBN 13 : 3319918214
Total Pages : 643 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis An Introduction to Fluid Mechanics by : Chung Fang

Download or read book An Introduction to Fluid Mechanics written by Chung Fang and published by Springer. This book was released on 2018-12-31 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a concise introduction to the mathematical theory of fluid motion with the underlying physics. Different branches of fluid mechanics are developed from general to specific topics. At the end of each chapter carefully designed problems are assigned as homework, for which selected fully worked-out solutions are provided. This book can be used for self-study, as well as in conjunction with a course in fluid mechanics.

Continuum Methods of Physical Modeling

Author : Kolumban Hutter
Publisher : Springer Science & Business Media
ISBN 13 : 3662064022
Total Pages : 645 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Continuum Methods of Physical Modeling by : Kolumban Hutter

Download or read book Continuum Methods of Physical Modeling written by Kolumban Hutter and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of dimensional analysis. The intention is to equip the reader with the ability to understand the complex nonlinear modeling in material behaviour and turbulence closure as well as to derive or invent his own models. Examples are mostly taken from environmental physics and geophysics.

Poromechanics III - Biot Centennial (1905-2005)

Author : Younane N. Abousleiman
Publisher : CRC Press
ISBN 13 : 9780415889506
Total Pages : 858 pages
Book Rating : 4.8/5 (895 download)

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Book Synopsis Poromechanics III - Biot Centennial (1905-2005) by : Younane N. Abousleiman

Download or read book Poromechanics III - Biot Centennial (1905-2005) written by Younane N. Abousleiman and published by CRC Press. This book was released on 2005-05-01 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings represent the latest advances in the mechanics of porous materials, known as poromechanics. The porous materials considered are solids containing voids that are impregnated with fluid. The focus is on the mechanical interactions of the inhomogeneous solid with the single- or multi-phase fluid under the loading of mechanical force, fluid pressure, thermal, chemical, and magnetic fields. The response time can be in static, diffusional, and dynamic ranges. The length scale can start from nano, to micro, macro, and up to field scales. Its application covers many branches of science and engineering, including geophysics, geomechanics, composite materials, biomechanics, acoustics, seismicity, civil, mechanical, environmental, and petroleum engineering. The approaches taken include analytical, computational, and experimental. To honor the pioneering contributions of Maurice A. Biot (1905-1985) to poromechanics, the Biot Conference on Poromechanics was convened for the first time in Louvain-la-Neuve, Belgium in 1998. The success of the first conference led to the 2nd Biot Conference held in Grenoble, France in 2002. To celebrate the centennial birthday of Biot (May 25, 2005), the 3rd Biot Conference on Poromechanics was held at the University of Oklahoma, Norman, Oklahoma, U.S.A., on May 24-27, 2005.

Porous Media

Author : Wolfgang Ehlers
Publisher : Springer Science & Business Media
ISBN 13 : 9783540437635
Total Pages : 476 pages
Book Rating : 4.4/5 (376 download)

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Book Synopsis Porous Media by : Wolfgang Ehlers

Download or read book Porous Media written by Wolfgang Ehlers and published by Springer Science & Business Media. This book was released on 2002-07-09 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume offers a state-of-the-art report on the various recent sci entific developments in the Theory of Porous Media (TPM) comprehending the basic theoretical concepts in continuum mechanics on porous and mul tiphasic materials as well as the wide range of experimental and numerical applications. Following this, the volume does not only address the sophisti cated reader but also the interested beginner in the area of Porous Media by presenting a collection of articles. These articles written by experts in the field concern the fundamental approaches to multiphasic and porous materials as well as various applications to engineering problems. In many branches of engineering just as in applied natural sciences like bio- and chemomechanics, one often has to deal with continuum mechanical problems which cannot be uniquely classified within the well-known disci plines of either "solid mechanics" or "fluid mechanics". These problems, characterized by the fact that they require a unified treatment of volumetri cally coupled solid-fluid aggregates; basically fall into the categories of either mixtures or porous media. Following this, there is a broad variety of problems ranging in this category as for example the investigation of reacting fluid mix tures or solid-fluid suspensions as well as the investigation of the coupled solid deformation and pore-fluid flow behaviour of liquid- and gas-saturated porous solid skeleton materials like geomaterials (soil, rock, concrete, etc. ), polymeric and metallic foams or biomaterials (hard and soft tissues, etc).

Surface Waves in Geomechanics: Direct and Inverse Modelling for Soils and Rocks

Author : Carlo G. Lai
Publisher : Springer Science & Business Media
ISBN 13 : 3211380655
Total Pages : 390 pages
Book Rating : 4.2/5 (113 download)

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Book Synopsis Surface Waves in Geomechanics: Direct and Inverse Modelling for Soils and Rocks by : Carlo G. Lai

Download or read book Surface Waves in Geomechanics: Direct and Inverse Modelling for Soils and Rocks written by Carlo G. Lai and published by Springer Science & Business Media. This book was released on 2007-03-23 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theories of surface waves develop since the end of XIX century and many fundamental problems like existence, phase and group velocities, attenuation (quality factor), mode conversion, etc. have been, in part successfully, solved within the framework of such simple models as ideal fluids^ or linear elasticity. However, a sufficiently complete presentation of this subject, particularly for solids, is still missing in the literature. The sole exception is the book of I. A. Viktorov^ which contains an extensive discussion of fundamental properties of surface waves in homogeneous and stratified linear elastic solids with particular emphasis on contributions of Russian scientists. Unfortunately, the book has never been translated to English and its Russian version is also hardly available. Practical applications of surface waves develop intensively since a much shorter period of time than theories even though the motivation of discoverers of surface waves such as Lord Rayleigh stems from their appearance in geophysics and seismology. Nowadays the growing interest in practical applications of surface waves stem from the following two main factors: surface waves are ideal for developing relatively cheap and convenient methods of nondestructive testing of various systems spanning from nanomaterials (e.g.