Download or read book Continuum Theories in Solid Earth Physics written by Roman Teisseyre and published by Elsevier Publishing Company. This book was released on 1986 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material contained in this volume is united by common methods and ideas: the Earth's interior is treated as a continuum within the scope of classical physics. Such an approach is considered to be basically sufficient for the majority of the fundamental problems of the physics of the Earth's interior. Using modern methods of continuum mechanics and experimental data, it is possible to construct models of and theories about the dynamic processes taking place in the Earth's interior. The theories and models presented in this volume are supplemented by numerous applications to seismology (in particular earthquake physics), thermal convection of the Earth's interior, magnetic-field generation and a series of other geophysical problems. The theories and models concerning continuous media reviewed here are important for a sound understanding of the physical processes and dynamics of the Earth's interior. The authors have used the latest original results and present the elements of the theories in a concise, monographic form, referring to the abundant literature on the subject.
Download or read book Continuum Theories in Solid Earth Physics written by Roman Teisseyre and published by . This book was released on 1986 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Earthquake Source Asymmetry Structural Media and Rotation Effects written by Roman Teisseyre and published by Springer Science & Business Media. This book was released on 2006-07-01 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This breakthrough book is the first to examine the rotational effects in earthquakes, a revolutionary concept in seismology. Existing models do no yet explain the significant rotational and twisting motions that occur during an earthquake and cause the failure of structures. The rotation and twist effects are investigated and described, and their consequences for designing tall buildings and other important structures are presented. This book will change the way the world views earthquakes.
Download or read book Continuum Mechanics of Electromagnetic Solids written by G.A. Maugin and published by Elsevier. This book was released on 2013-10-22 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a rigorous cross-disciplinary theoretical treatment of electromechanical and magnetomechanical interactions in elastic solids. Using the modern style of continuum thermomechanics (but without excessive formalism) it starts from basic principles of mechanics and electromagnetism, and goes on to unify these two fields in a common framework. It treats linear and nonlinear static and dynamic problems in a variety of elastic solids such as piezoelectrics, electricity conductors, ferromagnets, ferroelectrics, ionic crystals and ceramics. Chapters 1-3 are introductory, describing the essential properties of electromagnetic solids, the essentials of the thermomechanics of continua, and the general equations that govern the electrodynamics of nonlinear continua in the nonrelativistic framework (e.g. Maxwell's equations, the fundamental balance laws of continuum mechanics, basic thermodynamical inequalities for electromagnetic continua, jump relations for studying the propagation of shock waves, nonlinear constitutive equations for large classes of materials).The remainder of the text presents in detail special cases, applications, solved problems, and more complex schemes of electromagnetic matter. Chapters 4 and 5 examine material schemes whose description relies on the above-mentioned equations. Chapters 6 and 7 are more advanced, reporting on recent progress in the field.Suitable for graduate teaching, the volume will also be useful to research workers and engineers in the field of electromagnetomechanical interactions, and to those interested in the basic principles, mathematical developments and applications of electroelasticity and magnetoelasticity in a variety of solid materials, such as crystals, polycrystals, compounds and alloys.
Download or read book Continuum Mechanics in the Earth Sciences written by William I. Newman and published by Cambridge University Press. This book was released on 2012-03-15 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum mechanics underlies many geological and geophysical phenomena, from earthquakes and faults to the fluid dynamics of the Earth. This interdisciplinary book provides geoscientists, physicists and applied mathematicians with a class-tested, accessible overview of continuum mechanics. Starting from thermodynamic principles and geometrical insights, the book surveys solid, fluid and gas dynamics. In later review chapters, it explores new aspects of the field emerging from nonlinearity and dynamical complexity and provides a brief introduction to computational modeling. Simple, yet rigorous, derivations are used to review the essential mathematics. The author emphasizes the full three-dimensional geometries of real-world examples, enabling students to apply this in deconstructing solid earth and planet-related problems. Problem sets and worked examples are provided, making this a practical resource for graduate students in geophysics, planetary physics and geology and a beneficial tool for professional scientists seeking a better understanding of the mathematics and physics within Earth sciences.
Download or read book Asymmetric Continuum written by Roman Teisseyre and published by Springer Science & Business Media. This book was released on 2013-09-24 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with a class of basic deformations in Asymmetric Continuum Theory. It describes molecular deformations and transport velocities in fluids, strain deformations in solids as well as the molecular transport, important in fracture processes. In solids, a separate problem relates to the displacements; their recording, e.g., by means of the seismometers, proves only the existence of the displacement derivatives and not a real displacement. However, the molecular displacements and new fracture criterion including the defect distributions and induced strains are defined in the book too. In fluids, the transport velocities and molecular strains describe the motion processes. The vortex motions are defined by means of the rotational transport; this approach leads to more complicated problems, like the turbulence phenomena. The interaction processes, including the electric and magnetic fields, and some thermodynamical problems and quantum theory analogies help to understand the extreme processes
Download or read book Physics of Asymmetric Continuum Extreme and Fracture Processes written by Roman Teisseyre and published by Springer Science & Business Media. This book was released on 2008-08-07 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our new monograph has been inspired by the former one, Earthquake Source Asymmetry, Structural Media, and Rotation Effects (R. Teisseyre, M. Takeo, and E. Majewski, eds, Springer 2006). Some problems, c- cerned primarily but not exclusively with the basic theoretical nature, have appeared to us as worthy of further analysis. Thus, in the present mo- graph we intend to develop new theoretical approaches to the theory of continua that go far beyond the traditional seismological applications. We also try to present the links between the experimental data, the observed rotational seismic waves, and their theoretical evaluation and description. In addition, we consider the basic point motions and deformations, and we intend to find the invariant forms to describe such point motions. We believe that there must exist the basic equations for all point motions and deformations, and we derive such relations within a frame of a continuum theory. Thus, in the considered standard asymmetric theory, we include relations not only for the displacement velocities but also for a spin motion and basic point deformations as well. We include here the axial point - formation and twist point deformation represented by the string-string and string-membrane motions. A twist vector is defined here as a vector p- pendicular to the string-string plane and representing its magnitude. It - comes an important counterpart to spin and a key to the presented theory. We show in the forthcoming chapters that the twist motion describes the oscillations of shear axes.
Download or read book Fractals and Dynamic Systems in Geoscience written by Tom G. Blenkinsop and published by Birkhäuser. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts and methods of fractal geometry penetrate various branches of human knowledge to an increasing degree. This tendency is particularly striking in the geosciences, because many processes occurring in and on the Earth result in time dependences and spatial patterns that have a fractal character. The contributions in this volume arose from the "3rd International Symposium on Fractals and Dynamic Systems in Geosciences", held at Stara Lesna, Slovakia in June, 1997. The volume contains new ideas and applications of fractal geometry in such diverse branches of geoscience as engineering geology, the physics of the lithosphere (including faulting, seismicity, and fluid flow), and climate behavior.
Download or read book Introduction to the Physics of the Earth s Interior written by Jean-Paul Poirier and published by Cambridge University Press. This book was released on 1991-04-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the inaccessible interior of the Earth. Physics of the Earth's interior has become a recognized discipline within solid earth geophysics and an important part of the current geophysical literature. Until now, however, there was no self-contained book that provides the background information necessary to understand the widely dispersed and sometimes controversial research about the structure, composition, or temperature of the deep Earth. Introduction to the Physics of the Earth's Interior intends to fill this role. Beginning with the basics and leading the reader step-by-step to the most recent developments in the science, the book opens with a succinct review of the fundamentals of continuum mechanics and thermodynamics of solids. The author next presents the theory of lattice vibrations in solids, and from this basis explains the origin of the various equations of state. The following two chapters are devoted to a discussion of the various melting laws and the phase transformations of the most prevalent mantle minerals. Transport properties, which are important to an understanding of the workings of the Earth, are dealt with in the next chapter. The author closes with a rich discussion of current seismological, thermal, and compositional models of the Earth. No special knowledge of geophysics or mineral physics is required, but a background in elementary physics is helpful.
Download or read book Achievements History and Challenges in Geophysics written by Robert Bialik and published by Springer. This book was released on 2014-07-14 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last six decades, the field of geophysics has experienced rapid development. Seismic methods, magnetic studies, hydrology and atmospheric sciences have expanded thanks to a boom in the computer sciences and measurement techniques. The frontiers of geophysics have also expanded, now including research on the polar areas, both Arctic and Antarctic. All these events are clearly reflected in the 60-year-long history of the Institute of Geophysics, Polish Academy of Sciences. This volume describes the most prominent achievements, the history of research and also the future potential of the Institute of Geophysics PAS. It describes measurements in various projects, methods of interpreting scientific data, and last but not least the people who have driven this research in many scientific projects.
Download or read book Dynamics of the Earth s Evolution written by Roman Teisseyre and published by Elsevier. This book was released on 2016-01-21 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sixth volume in the monograph series Physics and Evolution of the Earth's Interior presents the problems of the mature evolution of the Earth's interior. It provides comprehensive coverage of the present state of the mantle convection theory. The relations between paleomagnetism, plate tectonics and mantle convection theory are discussed. A more general view of the evolution based on the thermodynamics of irreversible processes is also given. This book will interest geophysicists, geologists, geodesists and planetologists.
Download or read book Principles of Earthquake Source Mechanics written by B. V. Kostrov and published by Cambridge University Press. This book was released on 1988 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kostrov and Das present a general theoretical model summarizing our current knowledge of fracture mechanics as applied to earthquakes and earthquake source processes. Part I explains continuum and fracture mechanics, providing the reader with some background and context. Part II continues with a discussion of the inverse problem of earthquake source theory and a description of the seismic moment tensor. Part III presents specific earthquake source models. Although data processing and acquisition techniques are discussed only in simplified form for illustrative purposes, the material in this book will aid in better orienting and developing these techniques. The aim of this book is to explore the phenomena underlying earthquake fracture and present a general theoretical model for earthquake source processes.
Download or read book Nonlocal Continuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2007-06-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations.
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.
Download or read book Seismic Wave Propagation in the Earth written by A. Hanyga and published by Elsevier. This book was released on 2016-07-29 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains an extensive presentation of the theory, phenomenology and interpretation of seismic waves produced by natural and artificial sources. Each theoretical topic discussed in the book is presented in a self-contained and mathematically rigorous form, yet without excessive demands on the reader's mathematical background. It is the only book to include such a complete presentation of the mathematical background and modern developments of the WKBJ theory of seismic waves, and detailed discussions of its wide ranging applications. The book will therefore be useful to postgraduate students and research workers specialising in seismic wave theory, theoretical seismology, electromagnetic wave theory and other fields of wave propagation theory.
Download or read book Advances in Geophysics written by and published by Academic Press. This book was released on 1998-10-28 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series provides a venue for longer reviews of current advances in geophysics. Written at a level accessible to graduate students, the articles serve to broaden knowledge of various fields and may be useful in courses and seminars. Volume 39 includes two articles detailing aspects of tsunamigenic earthquakes and their consequences.
Download or read book Continuum Physics V4 written by A. Cemal Eringen and published by Elsevier. This book was released on 2012-12-02 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Physics, Volume IV: Polar and Nonlocal Field Theories discusses the exposition of field theories for bodies which possess inner structure that can interact with mechanical and electromagnetic fields. This book provides precise presentations of exact continuum theories on materially non-uniform or non-simple bodies that can respond to short- and long-range inter-particle loads and fields. This volume consists of three parts. Part I is devoted to the study of continuum field theories for bodies having inner structure. All materials, to some extent, are composed of particles that behave like small rigid bodies or deformable particles, unlike the geometrical points of the classical continuum theory. The developments of nonlocal theories of nonpolar and polar continua are covered in Parts II and III. This publication is valuable to students and researchers interested in polar and nonlocal field theories.
