This extended and updated new edition captures developments and results since the original edition and includes a new chapter on two-dimensional thermoelectricity, which concerns itself with effects coupling thermal and electrical conduction in the media.

The book starts with a novel unified approach to homogenization, and develops a general theory of microstructure-independent (exact) relations for composite materials that applies to most physical properties of interest, such as conductivity, elasticity, piezoelectricity, thermoelectricity etc. Its methods allow one to obtain a complete list of exact relations in each physical context of interest.

Key Features:

• Homogenization theory for composite media developed in a novel unified framework covering many physical contexts, such as conductivity, elasticity, piezoelectricity, etc.
• Has complete lists of exact relations and links in all physically relevant contexts
• Can be used by practitioners, who are not mathematicians by consulting Part III of the book written with such an audience in mind
• Would be of interest to broader community of mathematicians in the area of Calculus of Variations