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

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

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