LVE: General Description

Purpose

Application to Analyze Linear Viscoelastic Data

Data Files

• The first line of the file should contain the sample parameters separated by semi-colons (;). It may contain any number of parameters which will be read and saved as file-parameter in RepTate.

• Then the data columns should appear, separated by spaces or tabs.

.tts extension

Text files with .tts extension should be organised as follows:

• .tts files should contain at least the parameter values for the:

  1. sample molar mass Mw,

  2. temperature T.

• 3 columns separated by spaces or tabs containing respectively:

  1. frequency, \(\omega\),

  2. elastic modulus, \(G'\),

  3. loss modulus \(G''\).

Other columns will be ignored. A correct .tts file looks like:

T=-35;CTg=14.65;dx12=0;isof=true;Mw=13.5;chem=PI;PDI=1.04;
1.90165521264016E+0000      7.38023647054321E+0001      1.35152457625702E+0004     -2.99910000000000E+0001
3.01392554124040E+0000      1.99063258930248E+0002      2.14834778959042E+0004     -2.99900000000000E+0001
4.51700049635957E+0000      3.72861375546198E+0002      3.17756716623334E+0004     -3.99960000000000E+0001
...                         ...                         ...                        ...

Views

log(G’,G”(w))

ApplicationLVE.viewLogG1G2()

Logarithm of the storage modulus \(\log(G'(\omega))\) and loss modulus \(\log(G''(\omega))\) vs \(\log(\omega)\)

G’,G”(w)

ApplicationLVE.viewG1G2()

Storage modulus \(G'(\omega)\) and loss modulus \(G''(\omega)\) (in logarithmic scale) vs \(\omega\) (in logarithmic scale)

etastar

ApplicationLVE.viewEtaStar()

Complex viscosity \(\eta^*(\omega) = \sqrt{G'^2 + G''^2}/\omega\) (in logarithmic scale) vs \(\omega\) (in logarithmic scale)

logetastar

ApplicationLVE.viewLogEtaStar()

Logarithm of the complex viscosity \(\eta^*(\omega) = \sqrt{G'^2 + G''^2}/\omega\) vs \(\log(\omega)\)

delta

ApplicationLVE.viewDelta()

Loss or phase angle \(\delta(\omega)=\arctan(G''/G')\cdot 180/\pi\) (in degrees, in logarithmic scale) vs \(\omega\) (in logarithmic scale)

tan(delta)

ApplicationLVE.viewTanDelta()

Tangent of the phase angle \(\tan(\delta(\omega))=G''/G'\) (in logarithmic scale) vs \(\omega\) (in logarithmic scale)

log(tan(delta))

ApplicationLVE.viewLogTanDelta()

\(\log(\tan(\delta(\omega)))=\log(G''/G')\) vs \(\log(\omega)\)

log(G*)

ApplicationLVE.viewLogGstar()

Logarithm of the modulus of the complex viscosity \(|G^*(\omega)|=\sqrt{G'^2+G''^2}\) vs \(\log(\omega)\)

log(tan(delta),G*)

ApplicationLVE.viewLogtandeltaGstar()

Logarithm of the tangent of the loss angle \(\tan(\delta(\omega))=G''/G'\) vs logarithm of the modulus of the complex viscosity \(|G^*(\omega)|=\sqrt{G'^2+G''^2}\)

delta(G*)

ApplicationLVE.viewdeltatanGstar()

Loss angle \(\delta(\omega)=\arctan(G''/G')\) vs logarithm of the modulus of the complex viscosity \(|G^*(\omega)|=\sqrt{G'^2+G''^2}\)

J’,J”(w)

ApplicationLVE.viewJ1J2()

Storage compliance \(J'(\omega)=G'/(G'^2+G''^2)\) and loss compliance \(J''(\omega)=G''/(G'^2+G''^2)\) (in logarithmic scale) vs \(\omega\) (in logarithmic scale)

Cole-Cole

ApplicationLVE.viewColeCole()

Cole-Cole plot: out of phase viscosity \(\eta''(\omega)=G'(\omega)/\omega\) vs dynamic viscosity \(\eta'(\omega)=G''(\omega)/\omega\)

log(G’)

ApplicationLVE.viewLogG1()

Logarithm of the storage modulus \(\log(G'(\omega))\) vs \(\log(\omega)\)

G’

ApplicationLVE.viewG1()

Storage modulus \(G'(\omega)\) (in logarithmic scale) vs \(\omega\) (in logarithmic scale)

log(G”)

ApplicationLVE.viewLogG2()

Logarithm of the loss modulus \(\log(G''(\omega))\) vs \(\log(\omega)\)

G”

ApplicationLVE.viewG2()

Loss modulus \(G''(\omega)\) (in logarithmic scale) vs \(\omega\) (in logarithmic scale)

log(G’,G”(w),tan(delta))

ApplicationLVE.viewLogG1G2tandelta()

Logarithm of the storage modulus \(\log(G'(\omega))\), loss modulus \(\log(G''(\omega))\) and tangent of the loss angle \(\log(\tan(\delta(\omega)))=\log(G''/G')\) vs \(\log(\omega)\)