Titlebook: Representation Surfaces for Physical Properties of Materials; A Visual Approach to Manuel Laso,Nieves Jimeno Textbook 2020 Springer Nature

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Representation of Material Properties by Means of Cartesian Tensors,l be required in the rest of the book. If you have previously been exposed to and perhaps intimidated by expressions like “covariant” and “contravariant”, you are about to make a quantum leap in your study of tensor material properties: when working with Cartesian tensors the concepts of “covariant”

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Transversality and Skew Symmetric Properties,o encountered projections along more than one direction: the calculation of the angular dependence of the?shear modulus . (.) of a 2D fabric involved the use of two vectors (.). The calculation of polycrystalline averages also involved terms like . and . (.). All these expressions come from the defi

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Representation Surfaces for Physical Properties of Materials978-3-030-40870-1Series ISSN 1612-1317 Series E-ISSN 1868-1212

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Representation Surfaces,A representation surface is a graphical way of visualizing the dependence of a given tensorial magnitude (both material and field tensors) on the direction in which it is measured. In loose terms, the RS is the polar spherical representation of the?projection of a tensor in one (or more) directions.

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Scalar and Rank One Properties,In this chapter we??meet the simplest RS. But before doing so, a brief review of some basic material and some general features of RSs are presented, as well as those specific of odd and even order properties which will be useful in later chapters.