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A note on transversely isotropic functions. (English) Zbl 0487.15010
Summary: It is shown in this note that $$f(v,A)$$ is a transversely isotropic function if and only if $$f(v,A) = f(n,v,A)$$ and $$f$$ is an isotropic function. The vector $$n$$ stands for the preferred direction of transverse isotropy. This result enables us to obtain representations for transversely isotropic functions employing the much well-known representation theorems for isotropic functions.
##### MSC:
 15A72 Vector and tensor algebra, theory of invariants