Recently, several applications, primarily driven
by microtechnology, have emerged where the use of materials
with
tailored electromagnetic (dielectric) properties are necessary for
a successfuloverall 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. "
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