A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity

✍ Scribed by Claudia L. Matteo

• Publisher: Springer-Verlag
• Year: 1996
• Tongue: English
• Weight: 450 KB
• Volume: 35
• Category: Article
• ISSN: 0035-4511
• DOI: 10.1007/bf00403530

✦ Synopsis

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.