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Analysis of tensor functions

Springer Verlag, (2019), 137-171
DOI: 10.1007/978-3-319-98806-1_6
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Abstract

Let us consider a real scalar-valued function f (A1, A2, …, Al) of second-order tensors Aκ ∈ Linn (k=1,2,…, l). The function f is said to be isotropic if f (QA1QT, QA2QT, …, QAlQT) = f (A1,A2, …, Al), ∀Q ∈ Orthn.

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Itskov, M. (2019). Analysis of tensor functions. In Mathematical Engineering (pp. 137–171). Springer Verlag. https://doi.org/10.1007/978-3-319-98806-1_6

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