updates

latex/Kapitel/state_of_the_art.tex

@@ -130,8 +130,9 @@ Labridis!
 \subsubsection{Latent Heat}
 
 \subsection{Phase Transformation Models}
+The different phase transitions happen through markedly differnt processes and are thus each described by their own transformation model. 
 
-\subsubsection{Austenite - Johnson-Mehl-Avrami-Kolmogorow}
+\subsubsection{Austenite: Johnson-Mehl-Avrami-Kolmogorow}
 
 JMAK-Equation \autocite{johnson1939reaction}
 
@@ -179,10 +180,10 @@ Scheil-Approach\autocite{scheil1935anlaufzeit}:
 \end{equation}\
 
 \begin{equation}
-    k = k_max \exp \left[ - {\left(\frac{T-T_{nose}}{P_1}  \right)}^6 \right]
+    k = k_{max} \exp \left[ - {\left(\frac{T-T_{nose}}{P_1}  \right)}^6 \right]
 \end{equation}
 
-C38p using $n_{Aust}$, $k_max$, $T_{nose}$, $P_1$ \autocite{garcia1998modelling}
+C38p using $n_{Aust}$, $k_{max}$, $T_{nose}$, $P_1$ \autocite{garcia1998modelling}
 
 
 

latex/Kapitel/validation_data.tex

@@ -4,7 +4,7 @@ Significant effort was put into gathering local property distributions that were
 These would act as validation data for the models-upon-models of the process simulation, where errors could accumulate over the multiple simulation stages.
 %Sanity checks on resulting data were paramount.
 
-The main repositories of published data accumulated during the span of this thesis are J\'aszfi's Paper on rod materials\autocite{jaszfi2022residual} and publication~\ref{apx:pub3} on the crankshafts bearings.
+The main repositories of published data accumulated during the span of this thesis are J\'aszfi's paper on rod materials\autocite{jaszfi2022residual} and publication~\ref{apx:pub3} on the crankshafts bearings.
 
 \section{Hardness}
 Hardness is one of the easiest properties to measure, with standardized methods being well established\autocite{astme18, iso6507-1, astme92}.
@@ -52,7 +52,9 @@ Figure~\ref{fig:hardness_depth} shows the case hardening depth at the bearing ce
 This interaction can easily be explained by thebearing web's effect on the heated zone:
 The webs guide the magnetic flux and thus the heat generation up somewhat leaving a radius for the notches to show ``true'' hardening depth while the diagonal measurements cut through a rather strainght segment at the \ang{180} position.
 
-Figures to how the etched micrographs of the \ang{0} and \ang{180} positions to show the hardened zones ?? reference to publication~\ref{apx:pub2}??
+Figures to how the etched micrographs of the \ang{0} and \ang{180} positions show the hardened zones ??
+
+reference to publication~\ref{apx:pub2}??
  
 \begin{figure}
 
@@ -84,18 +86,30 @@ Phase distribution data is useful for validating the material transformation mod
 Manual microstructural examinations were performed on a hardened crankshaft bearing surface centrally at the \ang{0} position and documented in publication~\ref{apx:pub2}.
 Some microscope analysis was also done on sample plates cut from rod samples, but the most expansive data set describes the residual austenite disribution and was derived from the \acrshort{hexrd} analysis also used to gather stress data.
 
-?? WHAT ABOUT THE ROD SAMPLES ??
 
 \subsection*{Sample Preparation}
+
+Samlpe preparation for crankshaft samples was identical to the hardness measurements above, in fact some of the samples were first used for micrography and then hardness testing.
+
 \subsection*{Results}
 
+FIGURE SHOWING TEMPERATURE CURVE OF ROD WITH MULTIPLE THERMOCOUPLES ??
+
 \section{Residual Stresses and Austenite}\label{sec:residual_stresses}
 
 As explained in section~\ref{sec:sota_residual_stress}, measuring internal residual stresses of three-dimensional parts is always full of compromise. 
 For this thesis, a high spatial resolution of data points was accomplished by machining sample plates from the heat treated parts that could be examined through \acrshort{hexrd} at the particle accelerator at DESY, Hamburg.
-The trade-off was accepting a relaxation of tangential residual stresses, that would have to be compensated during the validation of the simulation results.
+The trade-off was accepting a relaxation of tangential residual stresses that would have to be compensated during the validation of the simulation results.
+
 \subsection*{Sample Preparation}
 
+Crankshafts from three process stages were used as sources for \acrshort{hexrd} samples: one hardened by heating and quenching, one with the subsequent tempering treatment one with the final grinding to dimension.
+These there marked as samples \textbf{2}, \textbf{4}, and \textbf{6} respectively.
+From each crankshaft, the crank pin closest to the flange was separated at the centers of the adjacent main journals.
+Then the sample plates were cut by \acrlong{edm} to a thickness of \qty{3}{\mm} along the \ang{0} plane, i.e. including the center axes of both the crank and main bearing journals.
+After \acrshort{edm}, the plates were finally ground slowly and under constant cooling to reduce the high stresses that \acrshort{edm} can induce in the cut surfaces.
+Figure~\ref{fig:hexrd-sample-prep} visualizes these stages of free-cutting, while figure~\ref{fig:hexrd-samples-photo} shows the finished samples next to one another.
+
 \begin{figure}[htbp]
     \centering
     \subfloat{\includegraphics[width=0.5\linewidth]{Abbildungen/KW_sample_cut-1.png}} \\
@@ -111,6 +125,11 @@ The trade-off was accepting a relaxation of tangential residual stresses, that w
     \caption[Side by side of HEXRD sample plates.]{Side by side of the three sample plates cut from crank shafts at different processing stages: \textbf{2}---hardened, \textbf{4}---annealed, \textbf{6}---ground. The geometric difference of plate \textbf{6} to the others is evidence of a misalignment during sample cutting.}\label{fig:hexrd-samples-photo}
 \end{figure}
 
+An immediate difference in the hole position of sample plate \textbf{6} (ground to dimension) can be seen in this side-by-side comparison, which calls into question the locating precision of the \acrshort{edm} procedure. 
+To determine the true position of the sample plate within the original crank geometry, the poitions, angles, and minor and major axes of the drill ellipses were determined, as well as the samples' distances of top and bottom bearing surface.
+From these indicators the actual sample positions were calculated as presented in table~\ref{fig:hexrd-sample-pos} and figure~\ref{fig:hexrd-sample-pos}.
+Due to the grave misalignment of sample \textbf{6}, it was excluded from further comparison with the other two in subsequent measurements.
+
 \begin{figure}[htbp]
     \centering
     \includegraphics[width=0.5\linewidth]{Abbildungen/KW_sample_actual.png}
@@ -129,6 +148,8 @@ The trade-off was accepting a relaxation of tangential residual stresses, that w
     \end{tabular}
 \end{table}
 
+As detailed in publication~\ref{apx:pub3}, seven measurement paths and three area scans were run on each of the sample plates, shown in figure~\ref{fig:hexrd-paths}.
+
 \begin{figure}[htbp]
     \centering
     \includegraphics[width=0.5\linewidth]{Abbildungen/KW_hexrd_paths.png}
@@ -136,13 +157,28 @@ The trade-off was accepting a relaxation of tangential residual stresses, that w
 \end{figure}
 
 
+The samples 50CrMo4 rods were manufactured in parallel with the same machining process.
+Two treatment stages were chosen for \acrshort{hexrd} analysis: hardened and annealed. 
+J\'aszfi~\cite{jaszfi2022residual} 
+
+\begin{figure}
+    \centering
+    \includegraphics[width=0.3\linewidth]{example-image}
+    \caption{ rod HEXRD sample?? }\label{fig:hexrd-rod}
+\end{figure}
+
+Later in the project it was determined that a sampling from an orthogonal plane as needed, so the above manufacturing procedure was repeated for two disks from a hardened flange-side crank-pin bearing, as shown in figure~\ref{fig:hexrd-disk-pos}.
+Figure~\ref{fig:hexrd-paths-disk} shows the measurement paths on the disks' surfaces, akin to the paths of figure~\ref{fig:hexrd-paths}. 
+As with the plate samples, the paths on the disk were split into three sections with more detail towards the surface region.
+Differing from the plates, however, here the aperture sizes were always square (see table~\ref{tab:hexrd-disk-subpaths}) since lines were measured at varying angles, nullifying any alignment of the aperture with defined depths.
+
 \begin{figure}[htbp]
     \centering
     \begin{tabular}{cc}
-        \subfloat[Location in bearing]{\includegraphics[width=0.45\linewidth]{Abbildungen/kw_sample_discs_1.png}} & 
-        \subfloat[Lineup of both discs showing differentiating features]{\includegraphics[width=0.45\linewidth]{Abbildungen/kw_sample_discs_2.png}}\\
-        \subfloat[Disk 1: bearing edge]{\includegraphics[width=0.45\linewidth]{Abbildungen/kw_sample_discs_3.png}} & 
-        \subfloat[Disk 2: bearing center]{\includegraphics[width=0.45\linewidth]{Abbildungen/kw_sample_discs_4.png}}
+        \subfloat[Location in bearing, S1 at the edge and S2 at the center of the bearing journal]{\includegraphics[width=0.45\linewidth]{Abbildungen/kw_sample_discs_1.png}} & 
+        \subfloat[Lineup of both discs showing differentiating features of bore position and S1's flared edge.]{\includegraphics[width=0.45\linewidth]{Abbildungen/kw_sample_discs_2.png}}\\
+        \subfloat[Disk S1: bearing edge]{\includegraphics[width=0.45\linewidth]{Abbildungen/kw_sample_discs_3.png}} & 
+        \subfloat[Disk S2: bearing center]{\includegraphics[width=0.45\linewidth]{Abbildungen/kw_sample_discs_4.png}}
     \end{tabular}
     \caption{Summary of sample extraction of disks.}\label{fig:hexrd-disk-pos}
 \end{figure}
@@ -154,8 +190,6 @@ The trade-off was accepting a relaxation of tangential residual stresses, that w
 \end{figure}
 
 
-
-
 \begin{table}[htbp]
     \centering
     \caption{HEXRD parameters of the subpaths making up each masurement line.}\label{tab:hexrd-disk-subpaths}
@@ -170,6 +204,7 @@ The trade-off was accepting a relaxation of tangential residual stresses, that w
 
 \subsection*{Results}
 
+Publication~\ref{apx:pub3} is wholly devoted to illustrating and discussing the results of the \acrshort{hexrd} measurements of sample plates 2 and 4. 
 
 
 \begin{figure}[htbp]