Unterschiede

Hier werden die Unterschiede zwischen zwei Versionen angezeigt.

--- en:materialdaten:mischungen:gefuelltes_polymer [2026/01/10 19:32] – neelest
+++ en:materialdaten:mischungen:gefuelltes_polymer [2026/01/10 19:39] (aktuell) – neelest
@@ Zeile 13: / Zeile 13: @@
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-To define a polymer-filler mixture, assign the polymer to the mixture. Further the mass contents are required. Further material data of the filler need to be entered.
+To define filled polymers, first assign a polymer to the mixture, specify a **particle diameter** and define the **mass content** of the polymer in the mixture. In addition, the material data of the **filler** must be specified.
 {{ :en:materialdaten:mischungen:en_sigma150_dlg_materialdaten_019.png?nolink |}}
-==== Filled Polymer: Degree of Dispersion ====
+**Degree of Dispersion**
 To calculate the degree of dispersion the tensile strength and the porosity of the filler agglomerates have to be entered.
+===== Viscosity =====
+**Path:** Main menu > Material > New filled polymer... Tab: Viscosity\\
+{{:materialdaten:mischungen:iconfillednew-material.ico?nolink&60x60 |}}
+\\
+\\
+\\
+**Path:** Main menu > Material > Edit material (file)... Tab: Viscosity\\
+{{:materialdaten:reine_polymere_uebersicht:iconmaterialedit-material.ico?nolink&60x60 |}}
+\\
+\\
+\\
+{{ :en:materialdaten:mischungen:en_sigma150_dlg_materialdaten_020.png?nolink |}}
+The calculation of all material data except of the viscosity is based on mixing rules. The mixing rules used are described in detail in the Reference Manual. There are two options to calculate the viscosities of the compound. You can enter the rheological data analogous to the procedure for pure polymers. The other option is to let SIGMA calculate the viscosity of the mixtures using mixing rules. The following mixing rules are implemented in SIGMA:
+  * **Einstein:**
+$$\eta_M = \eta_p \cdot (1 + 2.5 \cdot \phi_F)$$
+  * **Hashin:**
+$$\eta_M = \eta_p \cdot \left(1 + \frac{2 \cdot \phi_F}{1 - \phi_F}\right)$$
+  * **modified Mooney law:**
+$$\eta = \frac{A \cdot a_T \cdot a_F}{(1 + B \cdot \gamma \cdot a_T \cdot a_F)^c} \text{ mit } a_F = \exp\left(\frac{k_E \cdot \phi_F}{1 - \frac{\phi_F}{\phi_{max}}}\right)$$