diff --git a/Preamble/Main.tex b/Preamble/Main.tex index 6ddeed3..1fd2ecc 100755 --- a/Preamble/Main.tex +++ b/Preamble/Main.tex @@ -734,6 +734,25 @@ small dot/.style={fill=black,circle,scale=0.3}, } +\tikzset{ + double -latex/.style args={#1 colored by #2 and #3}{ + -latex,line width=#1,#2, + postaction={draw,-latex,#3,line width=(#1)/3,shorten <=(#1)/4,shorten >=4.5*(#1)/3}, + }, + double round cap-latex/.style args={#1 colored by #2 and #3}{ + round cap-latex,line width=#1,#2, + postaction={draw,round cap-latex,#3,line width=(#1)/3,shorten <=(#1)/4,shorten >=4.5*(#1)/3}, + }, + double round cap-stealth/.style args={#1 colored by #2 and #3}{ + round cap-stealth,line width=#1,#2, + postaction={round cap-stealth,draw,,#3,line width=(#1)/3,shorten <=(#1)/3,shorten >=2*(#1)/3}, + }, + double -stealth/.style args={#1 colored by #2 and #3}{ + -stealth,line width=#1,#2, + postaction={-stealth,draw,,#3,line width=(#1)/3,shorten <=(#1)/3,shorten >=2*(#1)/3}, + }, +} + \newcommand{\FB}[7]{% \begin{tikzpicture}[auto, node distance=2cm,>=latex'] diff --git a/sections/Theorie.tex b/sections/Theorie.tex index 65ddeda..740c78c 100755 --- a/sections/Theorie.tex +++ b/sections/Theorie.tex @@ -85,7 +85,7 @@ Zur näherungsweisen Verarbeitung der Differentialgleichung wird hier das Variat % \begin{figure}[H]\centering -\begin{tikzpicture}[scale=2.7] +\begin{tikzpicture}[scale=2.5] { \fill[color=black!5] (0,0,1) -- (1,0,1) -- (1,1,1) -- (0,1,1) -- cycle; \fill[color=black!15] (0,1,1) -- (1,1,1) -- (1,1,0) -- (0,1,0) -- cycle; @@ -119,22 +119,66 @@ Zur näherungsweisen Verarbeitung der Differentialgleichung wird hier das Variat \draw[->] (.5,1,.5) -- (.5,1.4,.5) node[right] {$\sigma\ti{yy}$}; % Koordinatensystem - \draw[->] (-1,0,0) -- (-.7,0,0) node[right] {$x$}; - \draw[->] (-1,0,0) -- (-1,.3,0) node[above] {$y$}; - \draw[->] (-1,0,0) -- (-1,0,.3) node[below left] {$z$}; + \draw[->] (-.9,0,0) -- (-.6,0,0) node[right] {$x$}; + \draw[->] (-.9,0,0) -- (-.9,.3,0) node[above] {$y$}; + \draw[->] (-.9,0,0) -- (-.9,0,.3) node[below left] {$z$}; } \end{tikzpicture} -\hspace{2em} -\raisebox{0.9em}{ -\begin{tikzpicture}[scale=2] +\hspace{.5em} +%\raisebox{0.9em}{ +%\begin{tikzpicture}[scale=2] +%{ +% \fill[color=black!5] (0,0,0) -- (1,0,0) -- (1,1,0) -- (0,1,0) -- cycle; +% \draw[color=black!50] (0,0,0) -- node[below, color=black] {$\dif{x}$} (1,0,0) -- (1,1,0) -- node[above, color=black] {Vergleich mit 1D} (0,1,0) -- cycle; +% \draw[<-] (-0.5,0.5,0) -- (0,0.5,0) node[above left] {$\sigma(x)$}; +% \draw[->] (1,0.5,0) node[above right] {$\sigma(x+\dif{x})$} -- (1.5,0.5,0); +%} +%\end{tikzpicture} +%} +\begin{tikzpicture}[scale=2.5] { - \fill[color=black!5] (0,0,0) -- (1,0,0) -- (1,1,0) -- (0,1,0) -- cycle; - \draw[color=black!50] (0,0,0) -- node[below, color=black] {$\dif{x}$} (1,0,0) -- (1,1,0) -- node[above, color=black] {Vergleich mit 1D} (0,1,0) -- cycle; - \draw[<-] (-0.5,0.5,0) -- (0,0.5,0) node[above left] {$\sigma(x)$}; - \draw[->] (1,0.5,0) node[above right] {$\sigma(x+\dif{x})$} -- (1.5,0.5,0); + \fill[color=black!25] (1,0,1) -- (1,0,0) -- (1,1,0) -- (1,1,1) -- cycle; + \fill[color=black!15] (0,1,1) -- (1,1,1) -- (1,1,0) -- (0,1,0) -- cycle; + \fill[color=black!5] (0,0,1) -- (1,0,1) -- (1,1,1) -- (0,1,1) -- cycle; + + \draw[color=black!50] (0,0,1) -- (1,0,1); + \draw[color=black!50] (0,0,1) -- (0,1,1); + \draw[color=black!50] (1,0,1) -- (1,0,0); + + \draw[color=black!50] (0,1,1) -- (0,1,0); + \draw[color=black!50] (1,0,0) -- (1,1,0); + \draw[color=black!50] (0,1,0) -- (1,1,0); + + \draw[color=black!50] (0,1,1) -- (1,1,1); + \draw[color=black!50] (1,0,1) -- (1,1,1); + \draw[color=black!50] (1,1,1) -- (1,1,0); + + \draw[color=black!50, dashed] (0,0,0) -- (1,0,0); + \draw[color=black!50, dashed] (0,0,0) -- (0,1,0); + \draw[color=black!50, dashed] (0,0,0) -- (0,0,1); + + % X-Ebene + \fill[color=black!35] (1,.45,.55) -- (1,.45,.45) -- (1,.55,.45) -- (1,.55,.55) -- cycle; + \fill[color=black!15] (0,.45,.55) -- (0,.45,.45) -- (0,.55,.45) -- (0,.55,.55) -- cycle; + \draw[->] (1,.5,.5) -- (1.4,.5,.5) node[right] {$\displaystyle\sigma\ti{xx}+\frac{\partial\sigma\ti{xx}}{\partial x}\dif x$}; + \draw[->] (0,.5,.5) -- (-.4,.5,.5) node[left] {$\sigma\ti{xx}$}; + + % Y-Ebene + \fill[color=black!25] (.45,1,.55) -- (.55,1,.55) -- (.55,1,.45) -- (.45,1,.45) -- cycle; + \fill[color=black!15] (.45,0,.55) -- (.55,0,.55) -- (.55,0,.45) -- (.45,0,.45) -- cycle; + \draw[->] (.5,1,.5) -- (.9,1,.5) node[above right=-10pt] {$\displaystyle\tau\ti{yx}+\frac{\partial\tau\ti{yx}}{\partial y}\dif y$}; + \draw[->,dashed] (.5,0,.5) -- (.1,0,.5) node[below] {$\tau\ti{yx}$}; + + % Z-Ebene + \fill[color=black!12] (.45,.45,1) -- (.55,.45,1) -- (.55,.55,1) -- (.45,.55,1) -- cycle; + \fill[color=black!12] (.45,.45,0) -- (.55,.45,0) -- (.55,.55,0) -- (.45,.55,0) -- cycle; + \draw[->] (.5,.5,1) -- (.9,.5,1) node[below right=-10pt] {$\displaystyle\tau\ti{zx}+\frac{\partial\tau\ti{zx}}{\partial z}\dif z$}; + \draw[->,dashed] (.5,.5,0) -- (.1,.5,0) node[above right] {$\tau\ti{zx}$}; + + % fx + \draw[double -latex=2pt colored by black!80 and white] (.5,.5,.5) node[right] {$f\ti{x}$} -- (.1,.5,.5); } \end{tikzpicture} -} \caption{Kräfte an einem infinitesimalen Volumenelement} \label{pgfplots:Kraeftegleichgewicht} \end{figure} \vspace{-1.5em}