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This textbook presents all the mathematical and physical concepts
needed to visualize and understand representation surfaces,
providing readers with a reliable and intuitive understanding of
the behavior and properties of anisotropic materials, and a sound
grasp of the directionality of material properties. They will learn
how to extract quantitative information from representation
surfaces, which encode tremendous amounts of information in a very
concise way, making them especially useful in understanding higher
order tensorial material properties (piezoelectric moduli, elastic
compliance and rigidity, etc.) and in the design of applications
based on these materials. Readers will also learn from scratch
concepts on crystallography, symmetry and Cartesian tensors, which
are essential for understanding anisotropic materials, their design
and application. The book describes how to apply representation
surfaces to a diverse range of material properties, making it a
valuable resource for material scientists, mechanical engineers,
and solid state physicists, as well as advanced undergraduates in
Materials Science, Solid State Physics, Electronics, Optics,
Mechanical Engineering, Composites and Polymer Science. Moreover,
the book includes a wealth of worked-out examples, problems and
exercises to help further understanding.
This textbook presents all the mathematical and physical concepts
needed to visualize and understand representation surfaces,
providing readers with a reliable and intuitive understanding of
the behavior and properties of anisotropic materials, and a sound
grasp of the directionality of material properties. They will learn
how to extract quantitative information from representation
surfaces, which encode tremendous amounts of information in a very
concise way, making them especially useful in understanding higher
order tensorial material properties (piezoelectric moduli, elastic
compliance and rigidity, etc.) and in the design of applications
based on these materials. Readers will also learn from scratch
concepts on crystallography, symmetry and Cartesian tensors, which
are essential for understanding anisotropic materials, their design
and application. The book describes how to apply representation
surfaces to a diverse range of material properties, making it a
valuable resource for material scientists, mechanical engineers,
and solid state physicists, as well as advanced undergraduates in
Materials Science, Solid State Physics, Electronics, Optics,
Mechanical Engineering, Composites and Polymer Science. Moreover,
the book includes a wealth of worked-out examples, problems and
exercises to help further understanding.
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