TTS: General description

Purpose

Application to Analyze Linear Viscoelastic Data and perform Time-Temperature Superposition

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.

.osc extension

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

• .osc files should contaion 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 ingnored. A correct .osc file looks like:

T=0;Mw=94.9;chem=PI;origin=LeedsDA;label=PI88k_09_PP-10;PDI=1.03;
Freq      G'          G"              Temp        Strain
rad/s     Pa          Pa              °C              %
100       3.4801E5    70871       -0.0079     0.96734
68.129    3.328E5     70723       -0.0088     0.96362
46.416    3.1675E5    71696       -0.0101     0.96238
...       ...         ...         ...         ...

Views

log(G’,G”(w))

ApplicationTTS.viewLogG1G2()

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

G’,G”(w)

ApplicationTTS.viewG1G2()

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

etastar

ApplicationTTS.viewEtaStar()

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

logetastar

ApplicationTTS.viewLogEtaStar()

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

delta

ApplicationTTS.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)

ApplicationTTS.viewTanDelta()

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

log(tan(delta))

ApplicationTTS.viewLogTanDelta()

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

log(G*)

ApplicationTTS.viewLogGstar()

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

log(tan(delta),G*)

ApplicationTTS.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*)

ApplicationTTS.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)

ApplicationTTS.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

ApplicationTTS.viewColeCole()

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

log(G’)

ApplicationTTS.viewLogG1()

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

G’

ApplicationTTS.viewG1()

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

log(G”)

ApplicationTTS.viewLogG2()

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

G”

ApplicationTTS.viewG2()

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

log(G’,G”(w),tan(delta))

ApplicationTTS.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 \(\log(\omega)\)