On Itskov (2024) counterexample to the functional basis of isotropic vector and tensor functions by Shariff (2023)

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发表日期：

2024年5月11日

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M. H. B. M. Shariff

摘要

In the paper Itskov (Mechanics of Soft Materials 6:1, 20242), he gave a counterexample to show that elements of the functional basis by Shariff (Q. J. Mech. Appl. Math. 76, 143–161, 2023) do not represent isotropic invariants of the vector and tensor arguments and cannot thus be referred to as the functional basis. In this paper, we prove that his counterexample is incorrect.