THERMODYNAMIC PROPERTIES OF FRACTIONAL DIFFERINTEGRO TYPE CONSTITUTIVE RELATIONS

Using the asymptotic properties of Riemann-Liouville form, the intrins ic rate-based first and second laws of thermodynamics properties of fr actional differintegro operator type constitutive representations are investigated by illustrating how the conservative and nonconservative features of the response behavior interact under spectrally rich input s. Due to the generality of the development, fractional operator repre sentations of any order are considered. This includes the determinatio n of the underlying features giving rise to frequency dependencies in the phasing and amplitude behavior and in this context the irreversibl e energy release rate process associated with fractional viscoelastic simulations.