Mechanically inspired multiaxial free energy of Fractional Hereditary Materials (FHM)

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.