Unterschiede

Hier werden die Unterschiede zwischen zwei Versionen angezeigt.

--- en:materialdaten:dichtedaten_bzw._spezifisches_volumen [2024/04/11 15:21] – angelegt admin
+++ en:materialdaten:dichtedaten_bzw._spezifisches_volumen [2025/05/15 15:06] (aktuell) – [Theoretical basics] cschall
@@ Zeile 1: / Zeile 1: @@
 ======Density data or specific volume======
+===== Material data - density =====
+The following data of the material is entered in the ‘Density’ tab:
+  * **Solids density**: The density of the compact solid
+  * **Bulk density**: The bulk density of the granulate or flakes. Is inevitably lower than the solid density
+  * **Calculation method**: Optionally density function (with 3 parameters) or volume function (with 2 parameters). See below for details.
+{{ :materialdaten:rex171_mat_en_003.png?nolink |}}
+===== Theoretical basics =====
+Both the density and the specific volume as well as the glass transition or crystalline
+melting point can be determined from the pvT-diagram.
+{{ :materialdaten:abb_pvt_diagramm_en.svg?600 |}}
+The crystallite melting temperature $T_K$ is defined by the inflection point of the specific volume function in the pvT diagram. The glass transition temperature $T_G$ can be determined as the intersection of the tangents at the upper and lower course of the volume function.
+==== Density function ====
+The density function requires the three input values
+  * **Specific density** $\rho_0$: Corresponds to the density extrapolated to 0 °C (by default for a pressure of 100 bar)
+  * **Slope of the density function** $\rho_m$: Corresponds (for positive value) to the **decrease** in density per 1 °C
+  * **Compressibility value** $\kappa$: Describes the pressure dependence of the density
+The temperature-dependent density of the melt can be described by the following linear equation
+\[ρ = ρ_0 - ρ_m \cdot T\]
+If only one density value is available, make sure that this value corresponds to the mass temperature in the process and that the gradient $\rho_m$ is zero. Otherwise, the value $ρ_0$ at $0 °C$ should be entered with the corresponding temperature dependence $\rho_m$.
+The compressibility $\kappa$ (order of magnitude 0.0001 1/bar, reciprocal of the bulk modulus K) influences the density as a function of the pressure:
+$$ \kappa = \frac{1}{K} = - \frac{1}{V} \frac{dV}{dp} $$
+$$\text{with}$$
+$$\frac{dV}{V} = - \frac{d \rho}{\rho}$$
+$$\text{is}$$
+$$\frac{\Delta \rho}{\rho} = \kappa \cdot \Delta p$$
+The value kappa can be imported directly from PAM or entered manually. If the value 0 is set for kappa, the density is calculated without taking the pressure into account.
+==== Volume function ====
+The function of the specific volume as the reciprocal of the density contains only two parameters:
+\[v = v_0 + v_m \cdot T\]
+The two characteristic values $v_0$ and $v_m$ can also be determined from the pvT diagram, whereby the data must be determined at an average pressure corresponding to the process. \\
+The modelling of the specific volume cannot take pressure dependency into account.
+===Further topics===
+  * [[en:materialdaten:datenbankanbindung_an_pam|]]
+  * [[en:materialdaten:allgemeineangaben|]]
+  * [[en:materialdaten:thermodynamische_daten|]]
+  * [[en:materialdaten:dichtedaten_bzw._spezifisches_volumen|]]
+  * [[en:materialdaten:rheologische_materialdaten|]]
+  * [[en:materialdaten:technologische_daten|]]
+  * [[en:materialdaten:tribologische_daten|]]
+  * [[en:materialdaten:zusatzstoffe|]]
+  * [[en:materialdaten:molekulargewicht|]]
+  * [[en:materialdaten:faserabbau|]]
+  * [[en:materialdaten:eingabe_von_mischungen|]]