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Tensor Notation

A Working Knowledge in Tensor Analysis

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Part of the book series: Graduate Texts in Physics ((GTP))

Abstract

This chapter serves as an introduction of tensor and dyadic analysis. Here, we learn the basic working knowledge to tensor analysis, including decompositions, Cayley–Hamilton theorem, basic tensor operations.

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References

  1. G.K. Batchelor, J. Fluid Mech. 44, 545–570 (1970)

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  2. R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids. Vol. 1: Fluid Mechanics, 2nd edn. (Wiley, New York, 1987)

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  3. M.E. Gurtin, An Introduction to Continuum Mechanics (Academic Press, New York, 1981)

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  4. O.D. Kellogg, Foundations of Potential Theory (Dover, New York, 1954)

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© 2013 Springer-Verlag Berlin Heidelberg

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Phan-Thien, N. (2013). Tensor Notation. In: Understanding Viscoelasticity. Graduate Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32958-6_1

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