| Vorliegende Sprache |
eng |
| Hinweise auf parallele Ausgaben |
364490519 Buchausg. u.d.T.: ‡Zohdi, Tarek I.: Electromagnetic properties of multiphase dielectrics |
| ISBN |
978-3-642-28426-7 |
| Name |
Zohdi, Tarek I. |
| T I T E L |
Electromagnetic Properties of Multiphase Dielectrics |
| Zusatz zum Titel |
A Primer on Modeling, Theory and Computation |
| Verlagsort |
Berlin, Heidelberg |
| Verlag |
Springer Berlin Heidelberg |
| Erscheinungsjahr |
2012 |
| 2012 |
| Umfang |
Online-Ressource (XVIII, 178p. 59 illus., 9 illus. in color, digital) |
| Reihe |
Lecture Notes in Applied and Computational Mechanics ; 64 |
| Lecture notes in applied and computational mechanics |
| Band |
64 |
| Notiz / Fußnoten |
Description based upon print version of record |
| Weiterer Inhalt |
Title; Preface; Contents; List of figures; Multiphase Continua, an Introduction; Elementary Notation and Mathematical Operations; Vectors, Products and Norms; Basic Linear Algebra; Integral Transformations; Governing Electromagnetics: Maxwell's Equations; Coulomb Forces; Electric Field; Electric Flux; Current Density and Conductors; Work and Voltage; Maxwell-Ampere Law and the Magnetic Field; Faraday's Induction Law; Constitutive Relations; Localization: Point-Forms of Maxwell's Equations; Remark on Conservation Laws; Explicit Representations; Interface Conditions. The Electric Field IntensityElectric Flux Density; The Magnetic Field Intensity; Magnetic Flux; Summary; Physical Interpretation of Operators; ``Hidden'' Maxwellian Waves; Classical Linear Constitutive Behavior; Linear Constitutive Equations; Material Symmetry; Extraction of Macroscopic Effective Properties; Effective Properties of Heterogeneous Electromagnetic Media; Framing and the Construction of a Boundary Value Problem; Computational Testing; Averaging Theorems; The Average Electric Field Theorem; The Average Electric Field Flux Theorem; Effective Property Estimates. The Hill-Reuss-Voigt-Wiener BoundsIsotropic Cases; The Asymptotic Hashin-Shtrikman Bounds; Phase Concentration and Load-Sharing; ``Load Sharing'' Interpretation; Current-Fields; Remark: Averaging Theorems; Remarks; The Average Current Theorem; Special Cases of Maxwell's Equations; Coupled Effects: Joule-Heating; Introduction; The Joule-Fields; Ergodic Assumptions for the Joule-Field; Decomposition of the Joule-Field; Limits on Fields; Utilization of Effective Property Bounds; Asymptotic Limits: Superconductors and Insulators; Case 1: High-Conductivity (``Superconducting'') Particles. Case 2: Low-Conductivity (``Insulator'') ParticlesCoated and Multiphase Materials; Summary and Discussion; Some Basic Principles of Continuum Mechanics; Motion and Deformation; Deformation of Line Elements; The Jacobian of the Deformation Gradient; Equilibrium/Kinetics of Solid Continua; Postulates on Volume and Surface Quantities; Balance Law Formulations; Symmetry of the Stress Tensor; The First Law of Thermodynamics - An Energy Balance; Special Case: Electromagnetic Thermocoupled Problems; The Poynting Vector; Infinitesimal Linearly Elastic Constitutive Laws. Infinitesimal Strain Linear ElasticityMaterial Symmetry; Material Constant Interpretation; Basic Time-Stepping Schemes; Hybrid Methods; Coupled Problems and Staggering Schemes; Temporally-Adaptive Iterative Methods; Temporally Second Order Equations; Spatial Discretization: Spatial Finite Difference Stencils; A Model Problem: Dielectrics Undergoing Multifield Processes; Introduction; Thermal Coupling; Numerical Methods; Transient Electro-Magneto-Thermo Coupled Fields; Electromagnetic Fields: Maxwell's Equations; Thermodynamics: First Law and Absorption of Energy. Numerical Simulations: Staggering Schemes |
| Titelhinweis |
Buchausg. u.d.T.: ‡Zohdi, Tarek I.: Electromagnetic properties of multiphase dielectrics |
| ISBN |
ISBN 978-3-642-28427-4 |
| Klassifikation |
TGMD |
| TEC009070 |
| SCI041000 |
| *78-02 |
| 78A25 |
| 78A48 |
| 620.1 |
| 537/.24 |
| TA349-359 |
| UP 4600 |
| Kurzbeschreibung |
Tarek I. Zohdi |
| 2. Kurzbeschreibung |
Recently, several applications, primarily driven by microtechnology, have emerged where the use of materials with tailored electromagnetic (dielectric) properties are necessary for a successful overall design. The ``tailored'' aggregate properties are achieved by combining an easily moldable base matrix with particles having dielectric properties that are chosen to deliver (desired) effective properties. In many cases, the analysis of such materials requires the simulation of the macroscopic and microscopic electromagnetic response, as well as its resulting coupled thermal response, which can be important to determine possible failures in ``hot spots.'' This necessitates a stress analysis. Furthermore, because, oftentimes, such processes initiate degratory chemical processes, it can be necessary to also include models for these processes as well. A central objective of this work is to provide basic models and numerical solution strategies to analyze the coupled response of such materials by direct simulation using standard laptop/desktop equipment. Accordingly, this monograph covers: (1) The foundations of Maxwell's equations, (2) Basic homogenization theory, (3) Coupled systems (electromagnetic, thermal, mechanical and chemical), (4) Numerical methods and (5) An introduction to select biological problems. The text can be viewed as a research monograph suitable for use in an upper-division undergraduate or first year graduate course geared towards students in the applied sciences, mechanics and mathematics that have an interest in the analysis of particulate materials. AUTHOR BIOGRAPHY: T. I. Zohdi is currently Professor and Vice Chair for Instruction in the Department of Mechanical Engineering and Chair of the Engineering Science Program at UC Berkeley. He received his Ph.D. in 1997 in Computational and Applied Mathematics from UT Austin and his Habilitation in Mechanics from the Leibniz Universitaet in Hannover, Germany in 2002. His main research interests are in micromechanical material design, particulate flow and the mechanics of high-strength fabric, with and emphasis on computational approaches for nonconvex multiscale-multiphysics inverse problems, particularly addressing the crucial issue of how large numbers of microconstituents interact to produce macroscale aggregate behavior. He published over 85 archival refereed journal papers and four books. In 2000, he received the Zienkiewicz Prize and the Medal, and in 2003,he received the Junior Achievement Award for the American Academy of Mechanics. He is a Fellow of the United States Association for Computational Mechanics (USACM) and the International Association for Computational Mechanics (IACM), and is currently Vice President of USACM, and will become the USACM President in 2012. |
| 1. Schlagwortkette |
Dielektrikum |
| Mehrphasensystem |
| Elektromagnetische Eigenschaft |
| Finite-Differenzen-Methode |
| Zeitbereich |
| 1. Schlagwortkette ANZEIGE DER KETTE |
Dielektrikum -- Mehrphasensystem -- Elektromagnetische Eigenschaft -- Finite-Differenzen-Methode -- Zeitbereich |
| 2. Schlagwortkette |
Dielektrikum |
| Mehrphasensystem |
| Elektromagnetische Eigenschaft |
| Finite-Differenzen-Methode |
| Zeitbereich |
| ANZEIGE DER KETTE |
Dielektrikum -- Mehrphasensystem -- Elektromagnetische Eigenschaft -- Finite-Differenzen-Methode -- Zeitbereich |
| SWB-Titel-Idn |
365270369 |
| Signatur |
Springer E-Book |
| Bemerkungen |
Elektronischer Volltext - Campuslizenz |
| Elektronische Adresse |
$uhttp://dx.doi.org/10.1007/978-3-642-28427-4 |
| Internetseite / Link |
Volltext |
| Siehe auch |
Volltext |
| Siehe auch |
Inhaltstext |
