Abstract
The tangent distribution function (TDF) is analyzed within the theory of linear viscoelasticity on mechanical properties. A proof is given that both the relaxation and retardation spectra can be derived from the TDF, through a Fredholm integral equation. Furthermore, the relaxation strength can be calculated as a consequence of this relationship. Finally, as an example, the relationship is applied to discrete spectra.
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Matteo, C.L. A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity. Rheola Acta 35, 308–314 (1996). https://doi.org/10.1007/BF00403530
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DOI: https://doi.org/10.1007/BF00403530