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Theory Of Electromagnetoelasticity
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Book Synopsis Nonlinear Theory of Electroelastic and Magnetoelastic Interactions by : Luis Dorfmann
Download or read book Nonlinear Theory of Electroelastic and Magnetoelastic Interactions written by Luis Dorfmann and published by Springer Science & Business Media. This book was released on 2014-02-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classic theory of electromagnetism from the fundamental notions of point charges and magnetic dipoles through to distributions of charge and current in a non-deformable continuum, time-dependent electromagnetic fields and Maxwell’s equations. They summarize relevant theories of continuum mechanics, required to account for the deformability of material and present a constitutive framework for the nonlinear magneto-and electroelastic interactions in a highly deformable material. The equations contained in the book formulate and solve a variety of representative boundary-value problems for both nonlinear magnetoelasticity and electroelasticity.
Book Synopsis Theory Of Electromagnetoelasticity by : Jiashi Yang
Download or read book Theory Of Electromagnetoelasticity written by Jiashi Yang and published by World Scientific. This book was released on 2023-12-05 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Electromagnetoelasticity presents a systematic and unique treatment of elastic, electric and magnetic interactions in solids including various thermal and dissipative effects such as viscoelasticity and electrical conduction. In this book, a general and nonlinear continuum theory is constructed. The fundamental building blocks of the theory — the electromagnetic body force, couple and power — are calculated from a multi-continuum model consisting of a lattice continuum for elastic deformation, a bound charge continuum for electric polarization, a circulating current continuum for magnetization, and a free charge fluid for electrical conduction. The multi-continuum model is simpler than the common charged particle model and reveals the underlying physics from a unique angle. The complete set of Maxwell's equations for the electromagnetic fields is included without the widely used quasistatic approximations of the electric and/or magnetic fields. The theory established can be used to describe different kinds of interactions between acoustic and optical fields or waves. Some linear problems are analyzed as examples to show some of the simplest elastic and electromagnetic couplings.
Book Synopsis Integral Equation Methods for Electromagnetic and Elastic Waves by : Weng Chew
Download or read book Integral Equation Methods for Electromagnetic and Elastic Waves written by Weng Chew and published by Springer Nature. This book was released on 2022-05-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms
Author :Demosthenis I. Bardzokas Publisher :Springer Science & Business Media ISBN 13 :3540710310 Total Pages :539 pages Book Rating :4.5/5 (47 download)
Book Synopsis Mathematical Methods in Electro-Magneto-Elasticity by : Demosthenis I. Bardzokas
Download or read book Mathematical Methods in Electro-Magneto-Elasticity written by Demosthenis I. Bardzokas and published by Springer Science & Business Media. This book was released on 2007-05-19 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mechanics of Coupled Fields is a discipline at the edge of modern research connecting Continuum Mechanics with Solid State Physics. This book fills many gaps in the theoretical literature which arise due to the complexity of the problem. A vast number of problems are considered so that the reader can get a clear quantitative and qualitative understanding of the phenomena taking place.
Book Synopsis Electromagnetic Interactions in Elastic Solids by : Heinz Parkus
Download or read book Electromagnetic Interactions in Elastic Solids written by Heinz Parkus and published by Springer. This book was released on 1979 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Electroelasticity by : Zhen-Bang Kuang
Download or read book Theory of Electroelasticity written by Zhen-Bang Kuang and published by Springer Science & Business Media. This book was released on 2013-08-04 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Electroelasticity analyzes the stress, strain, electric field and electric displacement in electroelastic structures such as sensors, actuators and other smart materials and structures. This book also describes new theories such as the physical variational principle and the inertial entropy theory. It differs from the traditional method by using the physical variational principle to derive the governing equations of the piezoelectric material, whereas the Maxwell stress is obtained automatically. By using the inertial entropy theory, the temperature wave equation is obtained very easily. The book is intended for scientists, researchers and engineers in the areas of mechanics, physics, smart material and control engineering as well as mechanical, aeronautical and civil engineering, etc. Zhen-Bang Kuang is a professor at Shanghai Jiao Tong University.
Book Synopsis Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals by : E. Kiral
Download or read book Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals written by E. Kiral and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum physics is concemed with the predictions of deformations, stress, temperature, and electromagnetic fields in deformable and fluent bodies. To that extent, mathematical formulation requires the establishment of basic balance laws and constitutive equations. Balance laws are the union of those of continuum thermomechanics and MaxweIl's equations, as coIlected in Chapter 1. To dose the theory it is necessary to formulate equations for the material response to extemal stimuli. These equations bring into play the material properties of the media under consideration. In their simplest forms these are the constitutive laws, such as Hooke's law of dassical elasticity, Stokes' law of viscosity of viscous fluids, Fourier's law of heat conduction, Ohm's law of electric conduction, etc. For large deformations and fields in material media, the constitutive laws become very complicated, in vol ving all physical effects and material symmetry. The present work is concemed with the material symmetry regulations arising from the crystaIlographic symmetry of magnetic crystals. While there exist some works on the thirty-two conventional crystal dasses, exduding the linear case, there exists no study on the nonlinear constitutive equations for the ninty magnetic crystal dasses. Yet the interaction of strong electromagnetic fields with deformable solids cannot be explained without the material sym metry regulations relevant to magnetic crystals. In this monograph, we present a thorough discussion of magnetic symmetry by means of group theory. We consider onlyone scalar function which depends on one symmetric second-order tensor (e. g."
Book Synopsis Integral Equation Methods for Electromagnetic and Elastic Waves by : Weng Cho Chew
Download or read book Integral Equation Methods for Electromagnetic and Elastic Waves written by Weng Cho Chew and published by Morgan & Claypool Publishers. This book was released on 2009 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms
Book Synopsis A Dynamical Theory of the Electromagnetic Field by : James C. Maxwell
Download or read book A Dynamical Theory of the Electromagnetic Field written by James C. Maxwell and published by Wipf and Stock Publishers. This book was released on 1996-12-03 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We owe Clerk Maxwell the precise formulation of the space-time laws of electromagnetic fields. Imagine his own feelings when the partial differential equations he formulated spread in the form of polarized waves with the speed of light! This change in the understanding of the structure of reality is the most profound and fruitful that has come to physics since Newton."--Albert Einstein
Book Synopsis Classics of Elastic Wave Theory by : Michael A. Pelissier
Download or read book Classics of Elastic Wave Theory written by Michael A. Pelissier and published by SEG Books. This book was released on 2007 with total page 10 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.
Book Synopsis Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials by : Raymond Ogden
Download or read book Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials written by Raymond Ogden and published by Springer Science & Business Media. This book was released on 2011-05-25 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a state-of-the-art overview of the continuum theory of both electro- and magneto-sensitive elastomers and polymers, which includes mathematical and computational aspects of the modelling of these materials from the point of view of material properties and, in particular, the "smart-material" control of their mechanical properties.
Book Synopsis Multipole Theory in Electromagnetism by : Roger E. Raab
Download or read book Multipole Theory in Electromagnetism written by Roger E. Raab and published by Oxford University Press, USA. This book was released on 2005 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multipole theory provides a powerful way of characterising the electromagnetic behaviour of a medium, be it microscopic or macroscopic. This text decribes the concept of multipole theory as well as its successes and failures in applications to transmission, scattering and reflection.
Book Synopsis Electromagnetic Theory by : Oliver Heaviside
Download or read book Electromagnetic Theory written by Oliver Heaviside and published by American Mathematical Soc.. This book was released on 2003 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oliver Heaviside is probably best known to the majority of mathematicians for the Heaviside function in the theory of distribution. His main research activity concerned the theory of electricity and magnetism. This book brings together many of Heaviside's published and unpublished notes and short articles written between 1891 and 1912.
Book Synopsis The Mechanical Theory of Electromagnetism by : Henry J. DeLaak
Download or read book The Mechanical Theory of Electromagnetism written by Henry J. DeLaak and published by . This book was released on 1910 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Electromagnetic Theory by : James Clerk Maxwell
Download or read book Electromagnetic Theory written by James Clerk Maxwell and published by Blurb. This book was released on 2021-07-19 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1865 James Clerk Maxwell (1831 - 1879) published this work, "A Dynamical Theory of the Electromagnetic Field" demonstrating that electric and magnetic fields travel through space as waves moving at the speed of light. He proposed that light is an undulation in the same medium that is the cause of electric and magnetic phenomena. The unification of light and electrical phenomena led him to predict the existence of radio waves. Maxwell is also regarded as the founding scientist of the modern field of electrical engineering. His discoveries helped usher in the era of modern physics, laying the foundation for such fields as special relativity and quantum mechanics. Many physicists regard Maxwell as the 19th-century scientist having the greatest influence on 20th-century physics. His contributions to physics are considered by many to be of the same magnitude as the ones of Isaac Newton and Albert Einstein. In this original treatise Maxwell introduces the best of his mind in seven parts, to include: Part i. introductory. Part ii. on electromagnetic induction. Part iii. general equations of the electromagnetic field. Part iv. mechanical actions in the field. Part v. theory of condensers. Part vi. electromagnetic theory of light. Part vii. calculation of the coefficients of electromagnetic induction
Book Synopsis Theory of Elasticity by : Lev Davidovich Landau
Download or read book Theory of Elasticity written by Lev Davidovich Landau and published by Elsevier. This book was released on 1986-01-15 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive textbook covering not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subject, such as thermal conduction and viscosity in solids.
Book Synopsis Neoclassical Theory of Electromagnetic Interactions by : Anatoli Babin
Download or read book Neoclassical Theory of Electromagnetic Interactions written by Anatoli Babin and published by Springer. This book was released on 2016-08-04 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors present their recently developed theory of electromagnetic interactions. This neoclassical approach extends the classical electromagnetic theory down to atomic scales and allows the explanation of various non-classical phenomena in the same framework. While the classical Maxwell–Lorentz electromagnetism theory succeeds in describing the physical reality at macroscopic scales, it struggles at atomic scales. Here, quantum mechanics traditionally takes over to describe non-classical phenomena such as the hydrogen spectrum and de Broglie waves. By means of modifying the classical theory, the approach presented here is able to consistently explain quantum-mechanical effects, and while similar to quantum mechanics in some respects, this neoclassical theory also differs markedly from it. In particular, the newly developed framework omits probabilistic interpretations of the wave function and features a new fundamental spatial scale which, at the size of the free electron, is much larger than the classical electron radius and is relevant to plasmonics and emission physics. This book will appeal to researchers interested in advanced aspects of electromagnetic theory. Treating the classical approach in detail, including non-relativistic aspects and the Lagrangian framework, and comparing the neoclassical theory with quantum mechanics and the de Broglie–Bohm theory, this work is completely self-contained.
