TY - BOOK AU - Laso,Manuel AU - Jimeno,Nieves ED - SpringerLink (Online service) TI - Representation Surfaces for Physical Properties of Materials: A Visual Approach to Understanding Anisotropic Materials T2 - Engineering Materials, SN - 9783030408701 AV - TA404.6 U1 - 620.11 23 PY - 2020/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Materials science KW - Crystallography KW - Microwaves KW - Optical engineering KW - Mechanical engineering KW - Characterization and Evaluation of Materials KW - Crystallography and Scattering Methods KW - Microwaves, RF and Optical Engineering KW - Mechanical Engineering N1 - Introduction -- Geometric symmetry -- Material Properties as Cartesian Tensors -- Representation surfaces -- Scalar and rank one properties -- Symmetric second rank properties -- Third rank properties -- Fourth rank properties -- Transversality and skew symmetric properties N2 - 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 UR - https://doi.org/10.1007/978-3-030-40870-1 ER -