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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
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