357 lines
5.4 KiB
Plaintext
357 lines
5.4 KiB
Plaintext
|
#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<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
|