Electromagnetism In Material Continua Concepts And Applications
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Electromagnetism In Material Continua Concepts And Applications
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
Electromagnetism In Material Continua Concepts And Applications written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
Embark on a captivating journey into the realm of electromagnetism in material continua, where electric and magnetic fields intertwine with matter, giving rise to a symphony of fascinating phenomena. This comprehensive book unveils the fundamental principles governing the behavior of electromagnetic fields in materials, providing a profound understanding of their interactions and applications. Delve into the foundational concepts of electromagnetism, establishing the basic laws and equations that dictate the behavior of electric and magnetic fields. Explore the intriguing phenomena of polarization and magnetization, revealing how materials can modify and enhance these fields. Investigate the propagation of electromagnetic waves, tracing their paths through diverse media and unraveling the mysteries of reflection, refraction, and diffraction. Uncover the intricate interplay between electromagnetic fields and matter, examining how materials absorb, scatter, and transmit electromagnetic radiation. Discover the fundamental principles of conduction and Ohm's law, unveiling the mechanisms that govern the flow of electric current in materials. Delve into the complexities of dielectric relaxation and magnetic resonance, phenomena that illuminate the dynamic response of materials to electromagnetic fields. The exploration of electromagnetism in material continua has far-reaching implications across scientific and engineering disciplines. From the development of advanced materials with tailored electromagnetic properties to the design of cutting-edge technologies that harness electromagnetic phenomena, the principles explored in this book find practical applications in diverse fields. Written with clarity and rigor, this book serves as an invaluable resource for students, researchers, and practitioners seeking to deepen their understanding of electromagnetism in material continua. With its in-depth explanations, insightful examples, and thought-provoking exercises, this book empowers readers to navigate the complexities of this captivating field and unlock its potential for groundbreaking discoveries and advancements. If you like this book, write a review!
Advanced Electromagnetism Foundations Theory And Applications
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Author : Terence William Barrett
language : en
Publisher: World Scientific
Release Date : 1995-11-16
Advanced Electromagnetism Foundations Theory And Applications written by Terence William Barrett and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-16 with Science categories.
Advanced Electromagnetism: Foundations, Theory and Applications treats what is conventionally called electromagnetism or Maxwell's theory within the context of gauge theory or Yang-Mills theory. A major theme of this book is that fields are not stand-alone entities but are defined by their boundary conditions. The book has practical relevance to efficient antenna design, the understanding of forces and stresses in high energy pulses, ring laser gyros, high speed computer logic elements, efficient transfer of power, parametric conversion, and many other devices and systems. Conventional electromagnetism is shown to be an underdeveloped, rather than a completely developed, field of endeavor, with major challenges in development still to be met.
Fracture Mechanics Of Electromagnetic Materials Nonlinear Field Theory And Applications
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Author : Xiaohong Chen
language : en
Publisher: World Scientific
Release Date : 2012-09-28
Fracture Mechanics Of Electromagnetic Materials Nonlinear Field Theory And Applications written by Xiaohong Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-28 with Technology & Engineering categories.
Fracture Mechanics of Electromagnetic Materials provides a comprehensive overview of fracture mechanics of conservative and dissipative materials, as well as a general formulation of nonlinear field theory of fracture mechanics and a rigorous treatment of dynamic crack problems involving coupled magnetic, electric, thermal and mechanical field quantities.Thorough emphasis is placed on the physical interpretation of fundamental concepts, development of theoretical models and exploration of their applications to fracture characterization in the presence of magneto-electro-thermo-mechanical coupling and dissipative effects. Mechanical, aeronautical, civil, biomedical, electrical and electronic engineers interested in application of the principles of fracture mechanics to design analysis and durability evaluation of smart structures and devices will find this book an invaluable resource./a
Generalized Models And Non Classical Approaches In Complex Materials 1
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2018-03-24
Generalized Models And Non Classical Approaches In Complex Materials 1 written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-24 with Science categories.
This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.
Spatial And Material Forces In Nonlinear Continuum Mechanics
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Author : Paul Steinmann
language : en
Publisher: Springer Nature
Release Date : 2022-03-28
Spatial And Material Forces In Nonlinear Continuum Mechanics written by Paul Steinmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-28 with Science categories.
This monograph details spatial and material vistas on non-linear continuum mechanics in a dissipation-consistent approach. Thereby, the spatial vista renders the common approach to nonlinear continuum mechanics and corresponding spatial forces, whereas the material vista elaborates on configurational mechanics and corresponding material or rather configurational forces. Fundamental to configurational mechanics is the concept of force. In analytical mechanics, force is a derived object that is power conjugate to changes of generalised coordinates. For a continuum body, these are typically the spatial positions of its continuum points. However, if in agreement with the second law, continuum points, e.g. on the boundary, may also change their material positions. Configurational forces are then power conjugate to these configurational changes. A paradigm is a crack tip, i.e. a singular part of the boundary changing its position during crack propagation, with the related configurational force, typically the J-integral, driving its evolution, thereby consuming power, typically expressed as the energy release rate. Taken together, configurational mechanics is an unconventional branch of continuum physics rationalising and unifying the tendency of a continuum body to change its material configuration. It is thus the ideal formulation to tackle sophisticated problems in continuum defect mechanics. Configurational mechanics is entirely free of restrictions regarding geometrical and constitutive nonlinearities and offers an accompanying versatile computational approach to continuum defect mechanics. In this monograph, I present a detailed summary account of my approach towards configurational mechanics, thereby fostering my view that configurational forces are indeed dissipation-consistent to configurational changes.
Configurational Mechanics Of Materials
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Author : Reinhold Kienzler
language : en
Publisher: Springer
Release Date : 2014-05-04
Configurational Mechanics Of Materials written by Reinhold Kienzler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.
In several applications it is well recognized that all materials, on some scale, cannot be regarded as perfect continua. They rather contain a variety of numerous defects, such as micro-cracks, inclusions, vacancies, voids, dislocations, etc. To characterize such defects, the notion of "force” acting on a "defect” in the material needs to be introduced which leads to a whole engineering science of "Configurational Mechanics of Materials”. The lecture notes cover the numerous elements of configurational mechanics, including mathematical foundations, linear and nonlinear elasticity and continuum mechanics, coupled fields, fracture mechanics, as well as strength-of-materials.
Mechanics And Electrodynamics Of Magneto And Electro Elastic Materials
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Author : Raymond Ogden
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-25
Mechanics And Electrodynamics Of Magneto And Electro Elastic Materials written by Raymond Ogden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-25 with Science categories.
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.
Applied Electromagnetics In Materials
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Author : K. Miya
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Applied Electromagnetics In Materials written by K. Miya and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Technology & Engineering categories.
The proceedings of this International Symposium focus on recent advances and current research in the study of electromagnetic phenomena in advanced materials, and the potential applications of such research in a variety of areas, including non-destructive testing, steel-making, and nuclear and electrical engineering. Also discussed is the effect of electromagnetic fields on the micro- and macromechanics of solid materials, and the application of electromagnetics to the preparation and characterization of new superconducting materials. This is a valuable account of current research in an increasingly topical area which will be of interest to materials scientists working on advanced materials and to electrical, mechanical and nuclear engineers interested in the application of electromagnetic forces in industry.
Continuum Mechanics Of Electromagnetic Solids
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Author : G.A. Maugin
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Continuum Mechanics Of Electromagnetic Solids written by G.A. Maugin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
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.
Electromagnetism Of Continuous Media
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Author : Mauro Fabrizio
language : en
Publisher: Oxford University Press
Release Date : 2003-06-05
Electromagnetism Of Continuous Media written by Mauro Fabrizio and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-05 with Mathematics categories.
For graduate students and researchers, this self contained text provides a carefully structured, coherent, and comprehensive treatment of the mathematical modelling in electromagnetism of continuous media. The authors provide a systematic review of known subjects along with many original results. Part I reviews basic notions and approaches in electromagnetism (Maxwell's equations, Green's functions, harmonic fields, dispersive effects) and emphasizes the physical motivation for the modelling of non-conventional materials. The frequency-dependent properties (such as conductivity, polarizability, and magnetizability), which enter wave diffraction and dispersion, are shown, and these lead to a discussion of models of materials with fading memory in the time domain. Part II develops the thermodynamics of electromagnetic and thermoelectromagnetic materials with memory and provides a systematic account of thermodynamic restrictions. Existence, uniqueness and stability problems are investigated. Also, variational formulations and wave propagation solution are established. Part III is devoted to more involved models which are motivated by the interest in materials and structures with non-conventional properties. The mathematical modelling deals with non-linearity, non-locality and hysteresis. In non-linear materials attention is focussed on the generation of harmonics and in discontinuity waves. Non-locality is examined in a general way and hence is applied to superconductivity. Hysteresis is developed for magnetism. A review of known schemes is given along with new results about the modelling of hysteresis loops. The wide application of technologies in new mechanical, electronic and biomedical systems calls for materials and structures with non-conventional properties (e.g materials with 'memory'). Of equal importance is the understanding of the physical behaviour of these materials and consequently developing mathematical modelling techniques for prediction. Includes appendices that include some properties of Bessel functions, Fourier transforms and Sobolev spaces, compact operators and eigenfunctions, differential operators in curvilinear coordinates, and finite formulation of electromagnetism.