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In this paper, the derivation of the free energy function and its inherent dissipation is provided for the three-axial state of strain/stress of isotropic Fractional Hereditary Materials (FHM). The analysis is conducted by the extension of the well-established formulation related to the mechanical equivalence of the constitutive equations of FHM. Some numerical analyses related to different multiaxial cases are reported in the study.
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Prezioso et al. (2026) studied this question.
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