Electromagnetic Properties of Multiphase Dielectrics: A Primer on Modeling, Theory and Computation (Lecture Notes in Applied and Computational Mechanics)
Designer: Brand: Springer
Recently, several applications, primarily driven
by microtechnology, have emerged where the use of materials withÂ
tailoredÂ electromagneticÂ (dielectric) properties are necessary for a successfulÂ Â overall design.Â The ``tailored'' aggregate properties are
achieved by combining an easily moldableÂ base matrix with particles
Â 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,Â Â which can be important to determine possible failures in ``hot spots.'' This necessitatesÂ
Â 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.Â Â
A centralÂ 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 ofÂ 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 monographÂ 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.