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Response to Shariff’s comments to my paper on his isotropic invariants (Shariff, 2023)

Itskov, Mikhail

Authors

Mikhail Itskov



Abstract

In the paper by Shariff (Q. J. Mech. Appl. Math. 76, 143–161, 2023) a functional basis of vectors and symmetric tensors based on eigenvectors of the first tensor is proposed. In the paper by Itskov (Mech. Soft Mater. 6(4), 1–3, 2024) a counterexample is reported demonstrating that the proposed terms do not generally represent isotropic invariants and cannot thus serve as a functional basis of symmetric tensors. In the latest response (Mech. Soft Mater. 6, 4, 2024) Shariff shows many examples of symmetric tensors for which his functional basis is valid but he does not really oppose the counterexample.

Citation

Itskov, M. (2024). Response to Shariff’s comments to my paper on his isotropic invariants (Shariff, 2023). Mechanics of soft materials, 6(1), Article 6. https://doi.org/10.1007/s42558-024-00061-4

Journal Article Type Article
Acceptance Date Jun 23, 2024
Online Publication Date Jul 11, 2024
Publication Date Dec 1, 2024
Deposit Date Jul 15, 2024
Publicly Available Date Jul 15, 2024
Journal Mechanics of Soft Materials
Print ISSN 2524-5600
Electronic ISSN 2524-5619
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 6
Issue 1
Article Number 6
DOI https://doi.org/10.1007/s42558-024-00061-4
Keywords Eigenvalues, Functional basis, Isotropic invariants, Eigenvectors, Symmetric tensors
Public URL https://keele-repository.worktribe.com/output/875287
Publisher URL https://link.springer.com/article/10.1007/s42558-024-00061-4

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Licence
https://creativecommons.org/licenses/by/4.0/

Publisher Licence URL
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Copyright Statement
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.





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