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Recently, several applications, primarily drivenby microtechnology, have emerged where the use of materials withtailored electromagnetic (dielectric) properties are necessary for a successful overall design. The tailored'' aggregate properties areachieved by combining an easily moldable base matrix with particleshaving 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 necessitatesa 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 ofsuch 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 upperdivision 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.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer,
birth defects, or other reproductive harm.
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