Abstract
A procedure to obtain the tangent distribution function from internal friction peaks in solids is described. The method was applied to simulated data in order to show that the distribution can reproduce accurately the internal friction data in transition region as well as in most of the terminal region. Finally, the procedure is applied to experimental data in glass transition peaks of polystyrene.
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References
Baumgaertel M, Winter HH (1989) Determination of discrete relaxation and retardation time spectra from dynamic mechanical data. Rheol Acta 28:511–519
Cavaille JY, Jourdan C, Perez J, Monnier L, Johari GP (1987) Time-temperature superposition and dynamic mechanical behavior of atactic polystyrene. J of Polymer Sci 25:1235–1251
Elster C, Honerkamp J (1991) Modified maximum entropy method and its application to creep data. Macromolecules 24:310–314
Elster C, Honerkamp J, Weese J (1991) Using regularization methods for the determination of relaxation and retardation spectra of polymeric liquids. Rheol Acta 30:161–174
Felthan P (1955) On the representation of rheological results with special reference to creep and relaxation. Br J Appl Phys 6:26–31.
Ferry (1980) Viscoelastic properties of polymers. J Wiley and Sons, New York
Honerkamp J (1989) Ill-posed problems in rheology. Rheol Acta 28:363–371
Honerkamp J, Weese J (1989) Determination of the relaxation spectrum by a regularization method. Macromolecules 22:4372–4377
Honerkamp J, Weese J (1993) A nonlinear regularization method for the calculation of relaxation spectra. Rheol Acta 32:65–73
Lambri OA (1994) New procedure for determining internal friction parameters of tension-induced relaxation processes with distribution of relaxation times. Mater Trans, JIM 33:458–465
Laun HM (1978) Description of the nonlinear shear behavior of a low density polyethylene melt by means of an experimental determined strain dependent memory function. Rheol Acta 17:1–15
Matteo CL (1996) A fundamental relationship between the relaxation spectra and the tangent distribution function in the theory of linear viscoelasticity. Rheol Acta 35:308–314
Mead DW (1994) Numerical interconversion of linear viscoelastic material functions. J Rheol 38(6):1769–1795
Povolo F, Matteo CL (1992) Internal friction of a linear viscoelastic solid with a distribution of relaxation times. Mater Trans, JIM 33:824–833
Povolo F, Matteo CL (1994) Loss tangent distribution function: applications to metals and polymers. Phil Mag 69:1111–1120
Povolo F, Matteo CL (1994) Analysis of the Snoek relaxation in Nb-O alloys through the loss tangent distribution function. J of Alloys and Comp 211/212:525–528
Tschoegl NW (1989) The phenomenological theory of linear viscoelastic behavior. Springer Verlag, Berlin
Tschoegl NW, Emri I (1993) Generating line spectra from experimental responses. Part II: Storage and loss functions. Rheol Acta 32:322–327
Wiff DR, Gehatia M (1975) Inferring mechanical relaxation spectra as an illposed problem. J Applied Phys 46:4231–4234
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Matteo, C.L., Cerveny, S. A non-linear method for the calculation of the loss tangent distribution function. Rheola Acta 35, 315–320 (1996). https://doi.org/10.1007/BF00403531
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DOI: https://doi.org/10.1007/BF00403531