A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity |
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| Authors: | Dr. Claudia L. Matteo |
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| Affiliation: | (1) Dto. de Física, Facultad de Ciencias Exactas y Naturales (UBA), Pabellón I Ciudad Universitaria, 1428 Buenos Aires, Argentina |
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| 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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| Keywords: | Linear viscoelasticity internal friction tangent distribution function relaxation spectrum retardation spectrum relaxation strength |
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