Numerical calculation of creep compliance from dynamic data for linear viscoelastic materials
article
Numerical formulae are given for calculation of creep compliance from the known course of the storage and loss compliance with frequency for linear viscoelastic materials. These formulae involve values of the storage compliance and/or loss compliance at frequencies which are equally spaced on a logarithmic frequency scale. The ratio between successive frequencies corresponds to a factor of two. A method is introduced by which bounds for the relative error of those formulae can be derived. These bounds depend on the value of the damping, tan δ, at the angular frequency, ω0, at which the calculation is performed. The lower this damping, the easier is the calculation of the creep compliance. This calculation involves either the value of the storage compliance at a frequency ω0 = 1/t, and the values of the loss compliance in a rather narrow frequency region around ω0; or the value of the storage compliance at frequency ω0, the value of the loss compliance at frequency ω0/2, and the derivative of the storage compliance with respect to the logarithm of frequency in a frequency region around ω0. © 1970 Dr. Dietrich Steinkopff Verlag.
TNO Identifier
227183
ISSN
00354511
Source
Rheologica Acta, 9(3), pp. 382-395.
Publisher
Steinkopff-Verlag
Pages
382-395
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