Add document for explaining how we sort the order of the slip/twin system for HCP in lattice.f90

trunk/documentation/Document_Lattice.f90/SortTwinSlipSequenceInHEXforLattice-f90.lyx

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+#LyX 1.6.2 created this file. For more info see http://www.lyx.org/
+\lyxformat 345
+\begin_document
+\begin_header
+\textclass scrartcl
+\use_default_options true
+\language english
+\inputencoding auto
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+
+\graphics default
+\paperfontsize default
+\spacing single
+\use_hyperref false
+\papersize letterpaper
+\use_geometry true
+\use_amsmath 1
+\use_esint 1
+\cite_engine basic
+\use_bibtopic true
+\paperorientation portrait
+\leftmargin 2cm
+\topmargin 2cm
+\rightmargin 1cm
+\bottommargin 2cm
+\headheight 2cm
+\headsep 1cm
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+\tocdepth 3
+\paragraph_separation indent
+\defskip medskip
+\quotes_language english
+\papercolumns 1
+\papersides 1
+\paperpagestyle default
+\tracking_changes false
+\output_changes false
+\author "" 
+\author "" 
+\end_header
+
+\begin_body
+
+\begin_layout Title
+Sorting Criterion for Slip and Twin system in HCP
+\end_layout
+
+\begin_layout Author
+YunJo Ro
+\end_layout
+
+\begin_layout Standard
+This document attempts to show how we sort the order of the slip and twin
+ system for Hex (or hcp) structure in lattice.f90.
+ 
+\end_layout
+
+\begin_layout Section
+Slip system 
+\end_layout
+
+\begin_layout Standard
+An intersection between slip and basal plane is used in order to sort the
+ slip system as illustrated in Figures 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "Fig:BasalPrismSlip"
+
+\end_inset
+
+ and 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "Fig:Pyr<a><c+a>"
+
+\end_inset
+
+.
+ Numbers in Figures 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "Fig:BasalPrismSlip"
+
+\end_inset
+
+ and 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "Fig:Pyr<a><c+a>"
+
+\end_inset
+
+ indicate the sequence of each slip system in 
+\begin_inset Quotes eld
+\end_inset
+
+lattice.f90
+\begin_inset Quotes erd
+\end_inset
+
+.
+ In 
+\begin_inset Quotes eld
+\end_inset
+
+lattice.f90
+\begin_inset Quotes erd
+\end_inset
+
+, No.
+ 4 - 6 for basal and prism <a> slip do not include (Figure 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "Fig:BasalPrismSlip"
+
+\end_inset
+
+).
+ In Figure 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "Fig:Pyr<a><c+a>"
+
+\end_inset
+
+, pyramidal slip <c+a> was used two criterions to sort the 12 slip systems;
+ i) intersection between pyramidal slip plane and basal plnae, and ii) <a>
+ direction.
+ 
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float figure
+placement tbph
+wide false
+sideways false
+status collapsed
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Graphics
+	filename figures/slipSystemForHCP.jpg
+	lyxscale 15
+	scale 18
+	clip
+
+\end_inset
+
+
+\begin_inset Caption
+
+\begin_layout Plain Layout
+Basal and prism <a> slip.
+\end_layout
+
+\end_inset
+
+
+\begin_inset CommandInset label
+LatexCommand label
+name "Fig:BasalPrismSlip"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+
+
+\begin_inset Float figure
+placement tbph
+wide false
+sideways false
+status collapsed
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Graphics
+	filename figures/slipSystemForHCP-pyr.jpg
+	lyxscale 10
+	scale 18
+	clip
+
+\end_inset
+
+
+\begin_inset Caption
+
+\begin_layout Plain Layout
+Pyramical <a> and <c+a> slip.
+\end_layout
+
+\end_inset
+
+
+\begin_inset CommandInset label
+LatexCommand label
+name "Fig:Pyr<a><c+a>"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage clearpage
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section
+Twin system
+\end_layout
+
+\begin_layout Standard
+An intersection between twin and basal plane is used in order to sort the
+ twin system as illustrated in Figures 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "Fig:TwinType1"
+
+\end_inset
+
+ and 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "Fig:TwinType2"
+
+\end_inset
+
+.
+ Numbers in Figures 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "Fig:TwinType1"
+
+\end_inset
+
+ and 
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "Fig:TwinType2"
+
+\end_inset
+
+ indicate the sequence of each twin system in 
+\begin_inset Quotes eld
+\end_inset
+
+lattice.f90
+\begin_inset Quotes erd
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float figure
+placement tbph
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Graphics
+	filename figures/twinSystemForHCP-1.jpg
+	lyxscale 15
+	scale 18
+	clip
+
+\end_inset
+
+
+\begin_inset Caption
+
+\begin_layout Plain Layout
+Tensile and compressive twin type 1
+\end_layout
+
+\end_inset
+
+
+\begin_inset CommandInset label
+LatexCommand label
+name "Fig:TwinType1"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\begin_inset Float figure
+placement tbph
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\align center
+\begin_inset Graphics
+	filename figures/twinSystemForHCP-2.jpg
+	lyxscale 15
+	scale 18
+	clip
+
+\end_inset
+
+
+\begin_inset Caption
+
+\begin_layout Plain Layout
+Tensile and compressive twin type 2
+\end_layout
+
+\end_inset
+
+
+\begin_inset CommandInset label
+LatexCommand label
+name "Fig:TwinType2"
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_body
+\end_document

trunk/documentation/Document_Lattice.f90/SortTwinSlipSequenceInHEXforLattice-f90.tex

@@ -0,0 +1,74 @@
+%% LyX 1.6.2 created this file.  For more info, see http://www.lyx.org/.
+%% Do not edit unless you really know what you are doing.
+\documentclass[english]{scrartcl}
+\usepackage[T1]{fontenc}
+\usepackage[latin9]{inputenc}
+\usepackage[letterpaper]{geometry}
+\geometry{verbose,tmargin=2cm,bmargin=2cm,lmargin=2cm,rmargin=1cm,headheight=2cm,headsep=1cm,footskip=0.5cm}
+\usepackage{graphicx}
+
+\usepackage{babel}
+
+\begin{document}
+
+\title{Sorting Criterion for Slip and Twin system in HCP}
+
+
+\author{YunJo Ro}
+
+\maketitle
+This document attempts to show how we sort the order of the slip and
+twin system for Hex (or hcp) structure in lattice.f90. 
+
+
+\section{Slip system }
+
+An intersection between slip and basal plane is used in order to sort
+the slip system as illustrated in Figures \ref{Fig:BasalPrismSlip}
+and \ref{Fig:Pyr<a><c+a>}. Numbers in Figures \ref{Fig:BasalPrismSlip}
+and \ref{Fig:Pyr<a><c+a>} indicate the sequence of each slip system
+in {}``lattice.f90''. In {}``lattice.f90'', No. 4 - 6 for basal
+and prism <a> slip do not include (Figure \ref{Fig:BasalPrismSlip}).
+In Figure \ref{Fig:Pyr<a><c+a>}, pyramidal slip <c+a> was used two
+criterions to sort the 12 slip systems; i) intersection between pyramidal
+slip plane and basal plnae, and ii) <a> direction. 
+
+%
+\begin{figure}[tbph]
+\begin{centering}
+\includegraphics[clip,scale=0.18]{figures/slipSystemForHCP}\caption{Basal and prism <a> slip.}
+\label{Fig:BasalPrismSlip}
+\par\end{centering}
+
+
+\end{figure}
+%
+\begin{figure}[tbph]
+\centering{}\includegraphics[clip,scale=0.18]{figures/slipSystemForHCP-pyr}\caption{Pyramical <a> and <c+a> slip.}
+\label{Fig:Pyr<a><c+a>}
+\end{figure}
+
+
+\clearpage{}
+
+
+\section{Twin system}
+
+An intersection between twin and basal plane is used in order to sort
+the twin system as illustrated in Figures \ref{Fig:TwinType1} and
+\ref{Fig:TwinType2}. Numbers in Figures \ref{Fig:TwinType1} and
+\ref{Fig:TwinType2} indicate the sequence of each twin system in
+{}``lattice.f90''.
+
+%
+\begin{figure}[tbph]
+\centering{}\includegraphics[clip,scale=0.18]{figures/twinSystemForHCP-1}\caption{Tensile and compressive twin type 1}
+\label{Fig:TwinType1}
+\end{figure}
+%
+\begin{figure}[tbph]
+\centering{}\includegraphics[clip,scale=0.18]{figures/twinSystemForHCP-2}\caption{Tensile and compressive twin type 2}
+\label{Fig:TwinType2}
+\end{figure}
+
+\end{document}