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%% Filename: pst-pad-doc.tex
%%
%% Author: Patrick Drechsler
%%
%% Created: Fri Feb 8 02:04:17 2008
%%
%% Version: $Id: pst-pad-doc.tex 328 2008-03-21 15:22:10Z patrick $
%%
\listfiles
\documentclass{scrartcl}
\usepackage[english]{babel}
\input{pst-pad-doc-header}
\newcommand{\summary}{A PSTricks package for drawing attachment models}
\begin{document}
\EnableQuotes
\title{\texttt{pst-pad}\\\summary\\\normalsize ver. \verPstPad} \author{Patrick
Drechsler\thanks{\url{<Patrick.Drechsler@pstricks.de>}}} \date{\today}
\maketitle
\begin{abstract}
\PadPackage{} is a PSTricks package to draw simple attachment systems.
\end{abstract}
\setlength{\columnseprule}{0.6pt}
\begin{multicols}{2}
{\parskip 0pt \tableofcontents}
\end{multicols}
\section{Introduction}
\label{sec:introduction}
The package \PadPackage{} is a collection of graphical elements based on
PStricks that can be used to facilitate display of attachment systems such as
two differently shaped surfaces with or without a fluid wedged in
between. These macros ease the display of wet adhesion models and common
friction systems such as boundary lubrication, elastohydrodynamic lubrication
and hydrodynamic lubrication. The name \PadPackage{} was chosen because I used
this package to display models of different animal attachment pads in my
research.
\section{Parameters}
\label{sec:parameters}
There are specific parameters defined to easily change the behaviour of the pst-pad
objects you are drawing.
\let\HLTTc\textsf
%\begin{multicols}{2}
\begin{description}
\item[\HLTTc{fluid} (boolean):] (\emph{default:~true})
\item[\HLTTc{WallThickness} (dimension):] (\emph{default:~1})
\item[\HLTTc{WallString} (string):] (\emph{default:~})
\item[\HLTTc{WallAngle} (PSTricks color):] (\emph{default:~0})
\item[\HLTTc{WallLineWidth} (dimension):] (\emph{default:~1pt})
\item[\HLTTc{WallLineColor} (PSTricks color):] (\emph{default:~black})
\item[\HLTTc{SphereStartAngle} (dimension):] (\emph{default:~180})
\item[\HLTTc{SphereEndAngle} (boolean):] (\emph{default:~360})
\item[\HLTTc{SphereRadius} (dimension):] (\emph{default:~1})
\item[\HLTTc{ShpereString} (string):] (\emph{default:~})
\item[\HLTTc{SphereOffset} (dimension):] (\emph{default:~0})
\item[\HLTTc{SphereFillColor} (PSTricks color):] (\emph{default:~white})
\item[\HLTTc{SphereLineWidth} (dimension):] (\emph{default:~1pt})
\item[\HLTTc{SphereLineColor} (PSTricks color):] (\emph{default:~black})
\item[\HLTTc{FSphereHeight} (dimension):] (\emph{default:~2})
\item[\HLTTc{FSphereFillColor} (PSTricks color):] (\emph{default:~lightgray})
\item[\HLTTc{FSphereString} (string):] (\emph{default:~})
\item[\HLTTc{FSphereLineWidth} (dimension):] (\emph{default:~1pt})
\item[\HLTTc{FSphereLineColor} (PSTricks color):] (\emph{default:~black})
\item[\HLTTc{FluidMaxRadius} (dimension):] (\emph{default:~1})
\item[\HLTTc{FluidMinRadius} (dimension):] (\emph{default:~.5})
\item[\HLTTc{FluidHeight} (dimension):] (\emph{default:~.5})
\item[\HLTTc{FluidFillColor} (PSTricks color):] (\emph{default:~yellow})
\item[\HLTTc{FluidString} (string):] (\emph{default:~})
\item[\HLTTc{FluidShearOffsetX} (dimension):] (\emph{default:~0})
\item[\HLTTc{FluidShearOffsetY} (dimension):] (\emph{default:~0})
\item[\HLTTc{FluidLineWidth} (dimension):] (\emph{default:~1pt})
\item[\HLTTc{FluidLineColor} (PSTricks color):] (\emph{default:~black})
\item[\HLTTc{StringA} (string):] (\emph{default:~})
\item[\HLTTc{StringB} (string):] (\emph{default:~})
\item[\HLTTc{TotalAngle} (angle):] (\emph{default:~0})
\end{description}
\clearpage
\section{High-level Macros ("Objects")}
\label{sec:high-level-macros}
There are three high-level macros: \macro{PstWallToWall},
\macro{PstSphereToWall} and \macro{PstPad}.
\subsection{\macro{PstWallToWall}}
\label{sec:macropstwalltowall}
\begin{LTXexample}[width=5cm]
\begin{pspicture}(4,4)\psgrid
\PstWallToWall(2,2)
\end{pspicture}
\end{LTXexample}
\subsection{\macro{PstSphereToWall}}
\label{sec:macropstspheretowall}
\begin{LTXexample}[width=5cm]
\begin{pspicture}(4,4)\psgrid
\PstSphereToWall[fluid=false](2,2)
\end{pspicture}
\end{LTXexample}
\subsection{\macro{PstPad}}
\label{sec:macropstpad}
\begin{LTXexample}[width=5cm]
\begin{pspicture}(4,4)\psgrid
\PstPad(2,2)
\end{pspicture}
\end{LTXexample}
\clearpage
\subsection{Basic Usage}
\label{sec:basic-usage}
The following figure shows the usage of some basic parameters with the
\macro{PstPad} macro. Green and brown colored values in parentheses give
default and example values, respectively.
\begin{pspicture}(-5,-4)(7.5,4)%\psgrid
\PstPad[%
FluidMaxRadius=4,%
FluidMinRadius=3,%
FluidHeight=1,%
FSphereHeight=2,%
FSphereFillColor=green!20!white,%
FluidFillColor=blue!10!white,%
FluidLineWidth=1.5pt,%
FSphereLineWidth=0.1pt,%
WallLineWidth=3pt,%
WallLineColor=blue,%
FSphereLineColor=magenta,%
FluidLineColor=green!50!black%
](0,0)
%%
\sffamily\footnotesize%
\psset{linecolor=gray, linewidth=0.2pt}
%% "Crosshair" for orientation:
\psline[linestyle=dashed](-5,0)(5,0)
\psline[linestyle=dashed](0,-3)(0,1.5)
%% Node definitions:
\pnode(0,0){center}
\pnode(-4,-2.25){maxradiusLeft}
\pnode(0,-2.25){maxradiusRight}
\pnode(-3,0){minradiusLeft}
\pnode(3,0){minradiusRight}
\pnode([nodesep=4.5]center){fluidheightCenter}
\pnode([nodesep=4.5,offset=-1]center){fluidheightBottom}
\pnode([offset=-1]fluidheightBottom){wallThicknessBottom}
\pnode([nodesep=5.2,offset=1]center){fsphereheightBottom}
\pnode([offset=1]fsphereheightBottom){fsphereheightTop}
%%
\psset{arrows=|<->|,linewidth=0.8pt,linecolor=red,arrowscale=1.5}
%% Center:
\rput[l]([nodesep=.2,offset=.2]center){\textbf{(0,0)}}
%% Label FluidMinRadius:
\ncline{minradiusLeft}{center}
\nbput{\ParCol{FluidMinRadius}{0.5}{3}}
%% Label FluidMaxRadius:
\ncline{maxradiusLeft}{maxradiusRight}
\nbput{\ParCol{FluidMaxRadius}{1}{4}}
%% Label FluidHeight:
\ncline{fluidheightCenter}{fluidheightBottom}
\naput{\ParCol{FluidHeight}{.5}{1}}
%% Label WallThickness:
\ncline{fluidheightBottom}{wallThicknessBottom}
\naput{\ParCol{WallThickness}{1}{1}}
%% Label FSpereHeight:
\ncline{fsphereheightBottom}{fsphereheightTop}
\nbput{\ParCol{FSphereHeight/2}{2}{2}}
%% Label FSphereFillColor:
\psline{->}(-.1,2.2)(-.3,1.6)
\rput(-.1,2.6){\ParCol{FSphereFillColor}{"lightgray"}{"green!20!white"}}
%% Label FluidFillColor:
\psline{->}(4,2.2)(2.5,.6)
\rput(4,2.6){\ParCol{FluidFillColor}{"yellow"}{"blue!10!white"}}
%% Label FluidLineWidth:
\psline{->}([offset=.5,nodesep=3]minradiusRight)(minradiusRight)
\rput[l]([offset=-.1,nodesep=3.2]minradiusRight){\ParCol{FluidLineWidth}{1pt}{1.5pt}}
\rput[l]([offset=.8,nodesep=3.2]minradiusRight){\ParCol{FluidLineColor}{"black"}{"green!50!black"}}
%% Label FSphereLineWidth:
\psline{->}(-4.3,2.2)(-3.5,1)
\rput(-4.3,2.6){\ParCol{FSphereLineWidth}{1pt}{0.1pt}}
\rput(-4.3,3.4){\ParCol{FSphereLineColor}{"black"}{"magenta"}}
%% Label WallLineWidth:
\psline{->}(1.5,-2.25)(1.5,-1)
\rput[t](1.5,-2.5){\ParCol{WallLineWidth}{1pt}{3pt}}
\rput[t](1.5,-3.4){\ParCol{WallLineColor}{"black"}{"blue"}}
\end{pspicture}
\subsection{Liquid shearing}
\label{sec:liquid-shearing}
Sheared liquids sandwiched in between two surfaces can also be displayed. The
following figures shows the usage of the
parameters \parameter{FluidShearOffsetX}
and \parameter{FluidShearOffsetY}. Again, green and brown colored values in
parentheses give default and example values, respectively.
\subsubsection[\parameter{FluidShearOffsetX}]{Parameter \parameter{FluidShearOffsetX}}
\label{sec:param-offsetx}
\parameter{FluidShearOffsetX}\ describes the x offset from the current value
of \parameter{FluidMaxRadius}.
\begin{center}
\begin{pspicture}[showgrid=false](-5,-2)(4.5,2)%
\PstPad[%
FluidHeight=1,%
FluidShearOffsetX=0.6%
](0,0)
%% Labeling:
\sffamily\footnotesize%
\psset{linecolor=black, linewidth=0.2pt}
\psline[linestyle=dotted](-2.5,0)(1.5,0)
\psline[linestyle=dotted](0,-1)(0,1.5)
%% Node definitions:
\pnode(0,0){center}
\pnode(-1,-2.25){maxradiusLeft}
\pnode(0,-2.25){maxradiusRight}
\pnode(-1,0){maxradiusLeftZero}
\pnode(0,0){maxradiusRightZero}
\pnode([nodesep=-0.6]maxradiusLeft){Xoffset}
\pnode([nodesep=-0.6]maxradiusLeftZero){XoffsetZero}
\psline[linestyle=dotted]([offset=-1]maxradiusLeftZero)([offset=.5]maxradiusLeftZero)
\psline[linestyle=dotted]([offset=-1]XoffsetZero)([offset=.5]XoffsetZero)
%%
%%
\psset{arrowscale=2,arrows=|<->|}
%% Label FluidMaxRadiusLeft:
\ncline{maxradiusLeft}{maxradiusRight}
\nbput[npos=0.5]{\ParCol{FluidMaxRadius}{1}{1}}
%% Label FluidShearOffsetX:
\ncline[linecolor=red]{maxradiusLeftZero}{XoffsetZero}
\nbput[npos=1.6]{\ParCol{FluidShearOffsetX}{0}{.6}}
\end{pspicture}
\end{center}
\subsubsection[\parameter{FluidShearOffsetY}]{Parameter \parameter{FluidShearOffsetY}}
\label{sec:param-offsety}
\parameter{FluidShearOffsetY}\ describes the y offset from zero to determine the
curvature of the meniscus.
\begin{center}
\begin{pspicture}[showgrid=false](-4.5,-2)(4.5,2)%
\PstPad[%
FluidHeight=1,%
FluidShearOffsetY=0.4%
](0,0)
%% Labeling:
\sffamily\footnotesize%
\psset{linecolor=black, linewidth=0.2pt}
\psline[linestyle=dotted](-2.5,0)(1.5,0)
\psline[linestyle=dotted](0,-1)(0,1.5)
%% Node definitions:
\pnode(0,0){center}
\pnode([nodesep=1.5]center){fluidheightCenterRight}
\pnode([nodesep=-1.5]center){fluidheightCenterLeft}
\pnode([nodesep=-1.5,offset=1]center){fluidheightTop}
\pnode([offset=-0.4]fluidheightCenterRight){Yoffset}
%%
\psline[linestyle=dotted](0,-.4)(1.7,-.4)
%%
\psset{arrowscale=2,arrows=|<->|}
%% Label FluidHeight:
\ncline{fluidheightCenterLeft}{fluidheightTop}
\naput{\ParCol{FluidHeight}{.5}{1}}
%% Label FluidShearOffsetY:
\ncline[linecolor=red]{fluidheightCenterRight}{Yoffset}
\naput{\ParCol{FluidShearOffsetY}{0}{.4}}
\end{pspicture}
\end{center}
\subsection{Tilting parameters}
\label{sec:tilting-parameters}
The following figure shows the usage of the \parameter{TotalAngle}
parameter. The default angle is 0 degrees. Again, green and brown colored
values in parentheses give default and example values, respectively.
\begin{center}
\begin{pspicture}(-2.5,-2)(4,2.5)%
%%
\PstPad[TotalAngle=30](0,0)
%% Labeling:
\sffamily\footnotesize%
\psset{linecolor=black, linewidth=0.2pt}
\psline[linestyle=dotted](-2.5,0)(2.5,0)
\psline[linestyle=dotted](0,-1)(0,1.5)
\rput{30}{%
\psline[linestyle=dashed](-2.5,0)(2.5,0)
\psline[linestyle=dashed](0,-1)(0,1.5)
}
\pnode(0,0){center}
\psset{linecolor=red}
\psarc[arrowscale=2]{<->}(center){2.25}{0}{30}
\rput[l]([nodesep=2.5,angle=15]center){%
\ParCol{TotalAngle}{0}{30}}%
\end{pspicture}
\end{center}
\section{Example Usage}
\label{sec:example-usage}
\begin{LTXexample}[width=5cm]
\begin{pspicture}(4,4)\psgrid
\PstWallToWall[%
FluidFillColor=red,%
TotalAngle=10%
](2,2)
\end{pspicture}
\end{LTXexample}
\begin{LTXexample}[width=5cm]
\begin{pspicture}(4,4)\psgrid
\tiny\sffamily%
\PstPad[%
FluidFillColor=blue!30!white,%
FluidLineColor=blue!70!black,%
FSphereFillColor=yellow!40!white,%
FSphereLineColor=red!70!black,%
FluidString={fluid A},%
FluidShearOffsetX=0.1,%
FluidShearOffsetY=0.2,%
WallThickness=0.4,%
FSphereHeight=1,%
StringA={sliding insect pad}%
](2,2)
\end{pspicture}
\end{LTXexample}
\begin{LTXexample}[width=5cm]
\begin{pspicture}(4,4)\psgrid
\PstSphereToWall[%
fluid=false,%
SphereRadius=1.5,%
SphereStartAngle=190,%
SphereEndAngle=350,%
SphereOffset=0.1,%
StringA={string a},%
StringB={string b}%
](2,2)
\end{pspicture}
\end{LTXexample}
\section{Low-level Macros}
\label{sec:low-level-macros}
There are four low-level macros: \macro{PstWall}, \macro{PstFluid},
\macro{PstSphere} and \macro{PstFlattenedSphere}.
\subsection{\macro{PstWall}}
\label{sec:macropstwall}
\begin{LTXexample}[width=5cm]
\begin{pspicture}[showgrid=true](4,2)
\PstWall(2,1.5)
\end{pspicture}
\end{LTXexample}
\subsection{\macro{PstFluid}}
\label{sec:macropstfluid}
\begin{LTXexample}[width=5cm]
\begin{pspicture}[showgrid=true](4,2)
\rput(2,1){\PstFluid[unit=1pt](0,0)}
\end{pspicture}
\end{LTXexample}
\clearpage
\subsection{\macro{PstSphere}}
\label{sec:macropstsphere}
\begin{LTXexample}[width=5cm]
\begin{pspicture}[showgrid=true](4,2)
\PstSphere(2,.5)
\end{pspicture}
\end{LTXexample}
\subsection{\macro{PstFlattenedSphere}}
\label{sec:macr}
\begin{LTXexample}[width=5cm]
\begin{pspicture}[showgrid=true](4,2)
\PstFlattenedSphere(2,.5)
\end{pspicture}
\end{LTXexample}
\section{TODO}
\label{sec:todo}
\begin{itemize}
\item Enhance calculations and number conversions.
\item Implement different degrees of surface roughness.
\item Implement fluid film contact angle parameter.
\end{itemize}
\section{Acknowledgements}
\label{sec:acknowledgements}
I would like to thank Herbert Voß and Alan Ristow for their help on getting me
started with PSTricks macros and low-level calculations in PostScript and \TeX.
\end{document}
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