Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen angezeigt.
| Beide Seiten der vorigen RevisionVorhergehende Überarbeitung | |||
| en:grundlagenhandbuch:faserbruchberechnung [2026/06/13 16:22] – [Process-limited Fiber Length] deppe2 | en:grundlagenhandbuch:faserbruchberechnung [2026/09/04 13:17] (aktuell) – [Modeling] paal | ||
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| Zeile 33: | Zeile 33: | ||
| For a description of this behavior the following differential equation is used: | For a description of this behavior the following differential equation is used: | ||
| - | $$\frac{dl}{dt} = c \cdot l^{\infty} ; \text{with} l = \frac{L - L_{\infty}}{L_0 - L_{\infty}} \tag{1}$$ | + | $$\frac{dl}{dt} = c \cdot l^{\infty} ; \text{with } l = \frac{L - L_{\infty}}{L_0 - L_{\infty}} \tag{1}$$ |
| The origin of this equation refers to the initial glass fiber length $L_0$ with a dimensionless fiber length $l$, which describes the relation of the current glass fiber length $L$ to the initial fiber length $L_0$. The equation profile asymptotically approaches a process-limited fiber length $L_{\infty}$. The further parameters describe the speed $c$ and the sensitivity $α$ in terms of a fiber breakage. | The origin of this equation refers to the initial glass fiber length $L_0$ with a dimensionless fiber length $l$, which describes the relation of the current glass fiber length $L$ to the initial fiber length $L_0$. The equation profile asymptotically approaches a process-limited fiber length $L_{\infty}$. The further parameters describe the speed $c$ and the sensitivity $α$ in terms of a fiber breakage. | ||