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EnglishThe viscoelastic material functions for the Becker and the Lomnitz rheological models, sometimes employed to describe the transient flow of rocks, are studied and compared. Their creep functions, which are known in a closed form, share a similar time dependence and asymptotic behavior. This is also found for the relaxation functions, obtained by solving numerically a Volterra equation of the second kind. We show that the two rheologies constitute a clear example of broadly similar creep and relaxation patterns associated with neatly distinct retardation spectra, for which analytical expressions are available.
| Titolo: | Becker and Lomnitz rheological models: A comparison |
| Autore/i: | MAINARDI, FRANCESCO; SPADA G. |
| Autore/i Unibo: | |
| Anno: | 2012 |
| Titolo del libro: | PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON TIMES OF POLYMERS (TOP) AND COMPOSITES |
| Pagina iniziale: | 132 |
| Pagina finale: | 135 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1063/1.4738421 |
| Abstract: | The viscoelastic material functions for the Becker and the Lomnitz rheological models, sometimes employed to describe the transient flow of rocks, are studied and compared. Their creep functions, which are known in a closed form, share a similar time dependence and asymptotic behavior. This is also found for the relaxation functions, obtained by solving numerically a Volterra equation of the second kind. We show that the two rheologies constitute a clear example of broadly similar creep and relaxation patterns associated with neatly distinct retardation spectra, for which analytical expressions are available. |
| Data prodotto definitivo in UGOV: | 28-giu-2013 |
| Appare nelle tipologie: | 2.01 Capitolo / saggio in libro |
File in questo prodotto:
http://hdl.handle.net/11585/125294
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