Abstract: In the paper by Meng and Chen (Acta Mech 233:1307-1316, 2022), the polar (relative) and logarithmic spin tensors and the twirl tensors of Eulerian and Lagrangian triads are presented in the form of isotropic tensor functions of the stretch and stretching tensors. These tensor functions depend on the principal invariants and second-order polynomials of the stretch tensors and depend linearly on the stretching tensors. In the present paper, we show that these expressions are theoretically equivalent to the previously published basis-free expressions for these spin tensors represented by the same tensor functions, but in the form of dependencies on eigenvalues and their subordinate eigenprojections of the stretch tensors and linear dependencies on the stretching tensors. It is shown that the previously obtained expressions are preferred to those presented in the discussed paper both in the selection of spin tensors suitable for applications and in numerical implementations of expressions for these spin tensors. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature.

Cite: Korobeynikov S.N.
Discussion of “The general basis-free spin and its concise proof” by Meng and Chen
Acta Mechanica. 2023. N234. P.825–829. DOI: 10.1007/s00707-022-03402-4 WOS Scopus РИНЦ OpenAlex

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Web of science:	WOS:000871842500001
Scopus:	2-s2.0-85141161370
Elibrary:	54625323
OpenAlex:	W4307401346

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