Determination of relaxation time spectra by analytical inversion using a linear viscoelastic model with fractional derivatives. From: Polymer Engineering and Science | Date: November 15, 1995| Author: Braun, H.; Friedrich, Chr.; Weese, J. | COPYRIGHT 1995 Society of Plastics Engineers, Inc. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan.  All inquiries regarding rights should be directed to the Gale Group.Copyright information

Recently, Friedrich proposed an empirical model for linear viscoelastic fluids corresponding to a constitutive equation with fractional derivatives [Phil. Mag. Lett., 66, 287 (1992)]. For this model, the relaxation modulus, the dynamic moduli, the relaxation time spectrum, and other material functions have been explicitly calculated as a function of the few parameters that characterize a viscoelastic fluid within this model. By fitting this model to experimental data, the model parameters can...

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