Electromagnetic Properties of Multiphase Dielectrics

1. Front Matter

   Pages 1-17

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2. Multiphase Continua, an Introduction

   • Tarek I. Zohdi

   Pages 1-4

3. Elementary Notation and Mathematical Operations

   • Tarek I. Zohdi

   Pages 5-11

4. Governing Electromagnetics: Maxwell’s Equations

   • Tarek I. Zohdi

   Pages 13-37

5. Classical Linear Constitutive Behavior

   • Tarek I. Zohdi

   Pages 39-43

6. Extraction of Macroscopic Effective Properties

   • Tarek I. Zohdi

   Pages 45-62

7. Coupled Effects: Joule-Heating

   • Tarek I. Zohdi

   Pages 63-72

8. Some Basic Principles of Continuum Mechanics

   • Tarek I. Zohdi

   Pages 73-88

9. Basic Time-Stepping Schemes

   • Tarek I. Zohdi

   Pages 89-101

10. A Model Problem: Dielectrics Undergoing Multifield Processes

    • Tarek I. Zohdi

    Pages 103-150

11. Concluding Remarks and Emerging Applications in the Biological Sciences

    • Tarek I. Zohdi

    Pages 151-166

12. Back Matter

    Pages 0--1

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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.

• Electromagnetic Properties
• Multiphase Dielectrics

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)

• Dept. Mechanical Engineering, University of California, Berkeley, Berkeley, USA

  Tarek I. Zohdi

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.

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