Continuum Theories In Solid Earth Physics
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| Author | : Roman Teisseyre |
| Publisher | : Elsevier Publishing Company |
| Total Pages | : 588 |
| Release | : 1986 |
| Genre | : Continuum mechanics |
| ISBN | : |
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.
| Author | : Roman Teisseyre |
| Publisher | : |
| Total Pages | : 600 |
| Release | : 1986 |
| Genre | : Continuum mechanics |
| ISBN | : |
| Author | : Roman Teisseyre |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 582 |
| Release | : 2006-07-01 |
| Genre | : Science |
| ISBN | : 3540313370 |
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.
| Author | : Roman Teisseyre |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 189 |
| Release | : 2013-09-24 |
| Genre | : Science |
| ISBN | : 3642318606 |
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
| Author | : G.A. Maugin |
| Publisher | : Elsevier |
| Total Pages | : 621 |
| Release | : 2013-10-22 |
| Genre | : Science |
| ISBN | : 1483290107 |
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.
| Author | : Jean-Paul Poirier |
| Publisher | : Cambridge University Press |
| Total Pages | : 274 |
| Release | : 1991-04-26 |
| Genre | : Science |
| ISBN | : 9780521380973 |
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.
| Author | : Roman Teisseyre |
| Publisher | : Academic Press |
| Total Pages | : 697 |
| Release | : 2000-10-19 |
| Genre | : Science |
| ISBN | : 0080530656 |
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.
| Author | : Robert Bialik |
| Publisher | : Springer |
| Total Pages | : 419 |
| Release | : 2014-07-14 |
| Genre | : Science |
| ISBN | : 3319075993 |
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.
| Author | : B. V. Kostrov |
| Publisher | : Cambridge University Press |
| Total Pages | : 308 |
| Release | : 1988 |
| Genre | : Mathematics |
| ISBN | : 9780521303453 |
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.
| Author | : A. Hanyga |
| Publisher | : Elsevier |
| Total Pages | : 495 |
| Release | : 2016-07-29 |
| Genre | : Science |
| ISBN | : 1483291847 |
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.
