29 lines
1.1 KiB
TeX
29 lines
1.1 KiB
TeX
\Section{mat}
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\desc{Material physics}{}{}
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\desc[german]{Materialphysik}{}{}
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\begin{formula}{tortuosity}
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\desc{Tortuosity}{Degree of the winding of a transport path through a porous material. \\ Multiple definitions exist}{$l$ path length, $L$ distance of the end points}
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\desc[german]{Toruosität}{Grad der Gewundenheit eines Transportweges in einem porösen Material. \\ Mehrere Definitionen existieren}{$l$ Weglänge, $L$ Distanz der Endpunkte}
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\quantity{\tau}{}{}
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\eq{
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\tau &= \left(\frac{l}{L}\right)^2 \\
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\tau &= \frac{l}{L}
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}
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\end{formula}
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\begin{formula}{stress}
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\desc{Stress}{Force per area}{\QtyRef{force}, \QtyRef{area}}
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\desc[german]{Spannung}{(Engl. "stress") Kraft pro Fläche}{}
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\quantity{\sigma}{\newton\per\m^2}{v}
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\eq{\ten{\sigma}_{ij} = \frac{F_i}{A_j}}
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\end{formula}
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\begin{formula}{strain}
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\desc{Strain}{}{$\Delta x$ distance from reference position $x_0$}
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\desc[german]{Dehnung}{(Engl. "strain")}{$\Delta x$ Auslenkung aus der Referenzposition $x_0$}
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\quantity{\epsilon}{}{s}
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\eq{\epsilon = \frac{\Delta x}{x_0}}
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\end{formula}
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