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  • © 2020

Representation Surfaces for Physical Properties of Materials

A Visual Approach to Understanding Anisotropic Materials

  • The first book entirely devoted to representation surfaces and their applications
  • Includes worked-out examples, problems and exercises
  • Provides the fundamentals of materials science, crystallography and Cartesian tensors without assuming any previous knowledge of these subjects

Part of the book series: Engineering Materials (ENG.MAT.)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
  2. Introduction

    • Manuel Laso, Nieves Jimeno
    Pages 1-8
  3. Geometric Symmetry

    • Manuel Laso, Nieves Jimeno
    Pages 9-40
  4. Representation Surfaces

    • Manuel Laso, Nieves Jimeno
    Pages 89-120
  5. Scalar and Rank One Properties

    • Manuel Laso, Nieves Jimeno
    Pages 121-135
  6. Symmetric Second Rank Properties

    • Manuel Laso, Nieves Jimeno
    Pages 137-167
  7. Third Rank Properties

    • Manuel Laso, Nieves Jimeno
    Pages 169-205
  8. Fourth Rank Properties

    • Manuel Laso, Nieves Jimeno
    Pages 207-268
  9. Transversality and Skew Symmetric Properties

    • Manuel Laso, Nieves Jimeno
    Pages 269-293
  10. Back Matter

    Pages 295-297

About this book

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.

Authors and Affiliations

  • Universidad Politécnica de Madrid ETSI Industriales, Madrid, Spain

    Manuel Laso, Nieves Jimeno

About the authors

Manuel Laso is full professor of Materials Science at the Institute of Optoelectronics and Microsystems of Technical University of Madrid (UPM), Spain.

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access