#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 \font_roman default \font_sans default \font_typewriter default \font_default_family default \font_sc false \font_osf false \font_sf_scale 100 \font_tt_scale 100 \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 \footskip 0.5cm \secnumdepth 3 \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" \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" \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 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" \end_inset , pyramidal slip was used two criterions to sort the 12 slip systems; i) intersection between pyramidal slip plane and basal plnae, and ii) 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 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 and slip. \end_layout \end_inset \begin_inset CommandInset label LatexCommand label name "Fig:Pyr" \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