Electromagnetic Properties of Multiphase Dielectrics
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Electromagnetic Properties of Multiphase Dielectrics: A Primer on Modeling, Theory and Computation

Electromagnetic Properties of Multiphase Dielectrics: A Primer on Modeling, Theory and Computation

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About the Book

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.

Table of Contents:
Multiphase continua, an introduction.- Elementary notation and mathematical operations.- Governing electromagnetics: Maxwell’s equations.- Classical linear constitutive behavior.- Extraction of macroscopic effective properties.- Coupled effects: Joule-heating.- Some basic principles of continuum mechanics.- Basic time-stepping schemes.- A model problem: dielectrics undergoing multifield processes.- Concluding remarks and emerging applications in the biological sciences.


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Product Details
  • ISBN-13: 9783642284267
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • No of Pages: 178
  • Returnable: Y
  • Width: 155 mm
  • ISBN-10: 3642284264
  • Publisher Date: 11 Apr 2012
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Sub Title: A Primer on Modeling, Theory and Computation


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