Polymer-filler Mixture

Path: Main menu > Material > New filled polymer… Tab: Components



Path: Main menu > Material > Edit material (file)… Tab: Components



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.

Degree of Dispersion

To calculate the degree of dispersion the tensile strength and the porosity of the filler agglomerates have to be entered.

Path: Main menu > Material > New filled polymer… Tab: Viscosity



Path: Main menu > Material > Edit material (file)… Tab: Viscosity

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:

$$\eta = \frac{A \cdot a_T \cdot a_F}{(1 + B \cdot \gamma \cdot a_T \cdot a_F)^c} \text{ mit } a_F = \exp\left(\frac{k_E \cdot \phi_F}{1 - \frac{\phi_F}{\phi_{max}}}\right)$$