8
Schwarzl
F. R.
articles
Numerical formulae are given for calculation of storage and loss compliance from the course of the creep compliance for linear viscoelastic materials. These formulae involve values of the creep compliance at times which are equally spaced on a logarithmic time scale. The ratio between succeeding times 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, tanδ. The calculation of the storage compliance is easier with the lower damping values. This calculation involves the value of the creep compliance at timet0=1/ω, and that of its derivative with respect to the logarithm of time in a rather narrow region aroundt0. In contrast the calculation of the loss compliance is more difficult with the lower damping values. This calculation involves the value of the derivative of the creep compliance with respect to the logarithm of time in a broad interval aroundt0.
course
logarithmic time scale
low damping values
contrast
derivatives
The numerical calculation of storage and loss compliance from creep data for linear viscoelastic materials
creep compliance
https://scigraph.springernature.com/explorer/license/
loss compliance
numerical calculations
storage compliance
tanδ
en
bounds
time
https://doi.org/10.1007/bf02321350
respect
aroundt0
interval aroundt0
broad interval aroundt0
damping
ratio
calculations
logarithm
1969-03
region aroundt0
time scales
article
calculation of storage
error
1969-03-01
formula
compliance
damping values
method
relative error
data
creep data
narrow region aroundt0
storage
numerical formula
logarithm of time
2022-01-01T17:59
6-17
factors
viscoelastic materials
materials
values
false
scale
linear viscoelastic materials
Rheologica Acta
0035-4511
Springer Nature
1435-1528
Materials Engineering
Springer Nature - SN SciGraph project
pub.1026303633
dimensions_id
1
10.1007/bf02321350
doi
Engineering
Centraal Laboratorium TNO, Delft, Netherlands
Centraal Laboratorium TNO, Delft, Netherlands