Lecture Notes in Applied and Computational Mechanics

Electromagnetic Properties of Multiphase Dielectrics

A Primer on Modeling, Theory and Computation

Authors: Zohdi, Tarek I.

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About this 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.

About the authors

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.

Reviews

From the book reviews:

“In this succinct monograph, the author provides readers with a clear idea of how to derive and numerically solve coupled systems involving electromagnetic, thermal, mechanical and chemical processes. The book consists of 10 chapters. … this book is well written and should be interesting to a wide spectrum of researchers and students in the physical sciences, engineering and applied mathematics.” (JiChun Li, Mathematical Reviews, August, 2014)

Table of contents (10 chapters)

  • Multiphase Continua, an Introduction

    Zohdi, Tarek I.

    Pages 1-4

  • Elementary Notation and Mathematical Operations

    Zohdi, Tarek I.

    Pages 5-11

  • Governing Electromagnetics: Maxwell’s Equations

    Zohdi, Tarek I.

    Pages 13-37

  • Classical Linear Constitutive Behavior

    Zohdi, Tarek I.

    Pages 39-43

  • Extraction of Macroscopic Effective Properties

    Zohdi, Tarek I.

    Pages 45-62

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-28427-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-3-642-28426-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-3-642-42661-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Electromagnetic Properties of Multiphase Dielectrics
Book Subtitle
A Primer on Modeling, Theory and Computation
Authors
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
64
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer Berlin Heidelberg
eBook ISBN
978-3-642-28427-4
DOI
10.1007/978-3-642-28427-4
Hardcover ISBN
978-3-642-28426-7
Softcover ISBN
978-3-642-42661-2
Series ISSN
1613-7736
Edition Number
1
Number of Pages
XVIII, 178
Topics