In general, h and τ do not constitute a pair of conjugate variables in the sense of Hill's workconjugacy notion (see Ogden (1984) for detail). For the particular case of isotropy, however, it may be shown (Bruhns et al. 2000) that h and τ are a conjugate pair. Thus, the Hencky strain-energy function (1.4) is indeed a potential function, and equation (1.5) below exactly defines a hyperelastic relation.
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