Artículo
Matteo, C.L. "A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity" (1996) Rheologica Acta. 35(4):308-314
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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.
Registro:
| Documento: | Artículo |
| Título: | A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity |
| Autor: | Matteo, C.L. |
| Filiación: | Dto. de Física, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| Palabras clave: | Internal friction; Linear viscoelasticity; Relaxation spectrum; Relaxation strength; Retardation spectrum; Tangent distribution function |
| Año: | 1996 |
| Volumen: | 35 |
| Número: | 4 |
| Página de inicio: | 308 |
| Página de fin: | 314 |
| DOI: | http://dx.doi.org/10.1007/BF00403530 |
| Título revista: | Rheologica Acta |
| Título revista abreviado: | Rheol. Acta |
| ISSN: | 00354511 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00354511_v35_n4_p308_Matteo |
Referencias:
- Ferry, J., (1980) Viscoelastic Properties of Polymers, , J Wiley and Sons, New York
- Gross, B., (1953) Mathematical Structure of the Theories of Viscoelasticity, , Herman et Cie., Paris
- Hildebrand, F.B., (1952) Method of Applied Mathematics, , Prentice-Hall Inc., Englewood Cliffs, New Jersey
- Lambri, O.A., New procedure for determining internal friction parameters of tension-induced relaxation processes with distribution of relaxation times (1994) Mater Trans, JIM, 33, pp. 458-465
- Nowick, A.S., Berry, B.S., (1972) Anelastic Relaxation in Crystalline Solids, , Academic Press, New York
- Povolo, F., Matteo, C.L., Internal friction of a linear viscoelastic solid with a distribution of relaxation times (1992) Mater Trans, JIM, 33, pp. 824-833
- Povolo, F., Matteo, C.L., Loss tangent distribution function: Applications to melts and polymers (1994) Phil Mag, 69, pp. 1111-1120
- Povolo, F., Matteo, C.L., Analysis of the Snoek relaxation in Nb-O alloys through the loss tangent distribution function (1994) J of Alloy and Comp, 211-212, pp. 525-528
- Tschoegl, N.W., (1989) The Phenomenological Theory of Linear Viscoelastic Behavior, , Springer Verlag, Berlin
Citas:
---------- APA ----------
(1996) . A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity. Rheologica Acta, 35(4), 308-314.http://dx.doi.org/10.1007/BF00403530
---------- CHICAGO ----------
Matteo, C.L. "A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity" . Rheologica Acta 35, no. 4 (1996) : 308-314.http://dx.doi.org/10.1007/BF00403530
---------- MLA ----------
Matteo, C.L. "A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity" . Rheologica Acta, vol. 35, no. 4, 1996, pp. 308-314.http://dx.doi.org/10.1007/BF00403530
---------- VANCOUVER ----------
Matteo, C.L. A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity. Rheol. Acta. 1996;35(4):308-314.http://dx.doi.org/10.1007/BF00403530
