Received: from mx01.ecn.purdue.edu (mx01.ecn.purdue.edu [128.46.154.8])
	by mailbag.ecn.purdue.edu (8.14.4/8.14.4) with ESMTP id q3GCc8Sd003181
	(version=TLSv1/SSLv3 cipher=DHE-RSA-AES256-SHA bits=256 verify=NOT);
	Mon, 16 Apr 2012 08:38:08 -0400 (EDT)
Received: from mailhub130.itcs.purdue.edu (mailhub130.itcs.purdue.edu
 [128.210.5.130])
	by mx01.ecn.purdue.edu (8.14.4/8.14.4) with ESMTP id q3GCbBC8011359
	(version=TLSv1/SSLv3 cipher=DHE-RSA-AES256-SHA bits=256 verify=NOT);
	Mon, 16 Apr 2012 08:37:11 -0400
Received: from WPPEXHUB01F.purdue.lcl (wppexhub01f.itap.purdue.edu
 [172.21.6.90])
	by mailhub130.itcs.purdue.edu (8.14.4/8.14.4/mta-nopmx.smtp.purdue.edu) with
 ESMTP id q3GCbA1t021954;
	Mon, 16 Apr 2012 08:37:11 -0400
Received: from VPEXCH02.purdue.lcl ([169.254.2.132]) by WPPEXHUB01F.purdue.lcl
 ([::1]) with mapi; Mon, 16 Apr 2012 08:37:10 -0400
From: "Stacey, Lisa A" <staceyl@purdue.edu>
To: "'msefaculty-list@ecn.purdue.edu'" <msefaculty-list@ecn.purdue.edu>,
        "'msepostdoc-list@ecn.purdue.edu'" <msepostdoc-list@ecn.purdue.edu>,
        "'msegradstudent-list@ecn.purdue.edu'"
 <msegradstudent-list@ecn.purdue.edu>
Date: Mon, 16 Apr 2012 08:37:09 -0400
Subject: REMINDER SEMINAR - B. Vijayaraghavan Mon. 4/16/12-2:30 PM
Thread-Topic: REMINDER SEMINAR - B. Vijayaraghavan Mon. 4/16/12-2:30 PM
Thread-Index: Ac0WWFyPLLsSem77TXSMWKLFIOhzXgFdQxxA
Message-ID: <92F872D971E7AA498CF64DD847E5594D89C36E822A@VPEXCH02.purdue.lcl>
Accept-Language: en-US
Content-Language: en-US
X-MS-Has-Attach: yes
X-MS-TNEF-Correlator: 
acceptlanguage: en-US
Content-Type: multipart/related;
	boundary="_005_92F872D971E7AA498CF64DD847E5594D89C36E822AVPEXCH02purdu_";
	type="multipart/alternative"
MIME-Version: 1.0
X-PMX-Version: 5.5.9.388399
X-PerlMx-Virus-Scanned: Yes
X-ECN-MailServer-VirusScanned: by amavisd-new
X-ECN-MailServer-Origination: mailhub130.itcs.purdue.edu [128.210.5.130]
X-ECN-MailServer-SpamScanAdvice: DoNotScan

--_005_92F872D971E7AA498CF64DD847E5594D89C36E822AVPEXCH02purdu_
Content-Type: multipart/alternative;
	boundary="_000_92F872D971E7AA498CF64DD847E5594D89C36E822AVPEXCH02purdu_"

--_000_92F872D971E7AA498CF64DD847E5594D89C36E822AVPEXCH02purdu_
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: quoted-printable




MATERIALS SCIENCE AND ENGINEERING
SEMINAR


Three-Dimensional Modeling of Commercial Battery Anode Microstructures

by

Bharath P. Vijayaraghavan
Purdue MS Final Exam

Advisor
Prof. E. Garcia

ABSTRACT


A three-dimensional theoretical and numerical framework was developed to un=
derstand the processing-induced randomness and microstructural interactions=
 of rechargeable lithium-ion batteries. By starting from graphite anode mic=
rostructures extracted from X-ray tomography data the effects of the indivi=
dual features on the electrochemical and mechanical reliability during galv=
anostatic recharge are quantified. Spatially resolved electrochemical calcu=
lations show that for dense porous electrodes: a) spatially connected poros=
ity combined with internal surface roughness increases the macroscopic capa=
city of the cell; b) isolated porosity decreases the local conductivity, di=
ffusivity, and charge capacity of the system; and c) fully dense regions ar=
e effective obstacles for charge transport at large C-rates. A combined sta=
tistical and visualization analysis identifies surface morphological featur=
es with a small radius of curvature and porosity bundles as favorable locat=
ions for dendritic growth. Simulations also show that lithium accumulation =
induces low electrochemical potential values and compressive stresses in th=
ose surfaces exposed to spatially connected porosity, while tensile stresse=
s develop in surfaces exposed to electrochemically isolated porosity and fu=
lly dense regions, which in turn, favor crack initiation. The crystallograp=
hic anisotropy of graphite favors stress localization at grain corners and =
boundaries, particularly for large grain boundary misorientations. Simulati=
ons demonstrate that battery reliability can be improved by controlling the=
 radius of curvature of features and the minimization of the occurrence of =
pore bundles. The acquired scientific experiences were abstracted into an a=
nalytical framework to validate and extend widely accepted porosity-tortuos=
ity relations. The proposed framework enables the derivation of analytical =
expressions by starting from the volume fractions of the constitutive compo=
nents.
Experimentally measured tortuosities are rationalized through the relation =
developed herein,               [cid:image003.png@01CD1636.CC2AE260]  in th=
e Bruggemann limit.


Date:   Monday, April 16, 2012

Time:   2:30 P.M.
Place:  ARMS Rm. 1028




Lisa Stacey
Secretary/Development Assistant
Purdue University
School of Materials Engineering
765/494-4100


--_000_92F872D971E7AA498CF64DD847E5594D89C36E822AVPEXCH02purdu_
Content-Type: text/html; charset="us-ascii"
Content-Transfer-Encoding: quoted-printable

<html xmlns:v=3D"urn:schemas-microsoft-com:vml" xmlns:o=3D"urn:schemas-micr=
osoft-com:office:office" xmlns:w=3D"urn:schemas-microsoft-com:office:word" =
xmlns:dt=3D"uuid:C2F41010-65B3-11d1-A29F-00AA00C14882" xmlns:m=3D"http://sc=
hemas.microsoft.com/office/2004/12/omml" xmlns=3D"http://www.w3.org/TR/REC-=
html40"><head><meta name=3D"Microsoft Theme 2.00" content=3D"Aftrnoon 001">=
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii"><=
meta name=3DGenerator content=3D"Microsoft Word 12 (filtered medium)"><!--[=
if !mso]><style>v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style><![endif]--><style><!--
/* Font Definitions */
@font-face
	{font-family:Cambria;
	panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
	{font-family:Calibri;
	panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
	{font-family:Verdana;
	panose-1:2 11 6 4 3 5 4 4 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
	{margin:0in;
	margin-bottom:.0001pt;
	font-size:12.0pt;
	font-family:"Calibri","sans-serif";
	color:black;}
h1
	{mso-style-priority:9;
	mso-style-link:"Heading 1 Char";
	margin-top:24.0pt;
	margin-right:0in;
	margin-bottom:0in;
	margin-left:0in;
	margin-bottom:.0001pt;
	page-break-after:avoid;
	font-size:16.0pt;
	font-family:"Calibri","sans-serif";
	color:black;}
h2
	{mso-style-priority:9;
	mso-style-link:"Heading 2 Char";
	margin-top:10.0pt;
	margin-right:0in;
	margin-bottom:0in;
	margin-left:0in;
	margin-bottom:.0001pt;
	page-break-after:avoid;
	font-size:14.0pt;
	font-family:"Calibri","sans-serif";
	color:black;
	font-weight:normal;}
h3
	{mso-style-priority:9;
	mso-style-link:"Heading 3 Char";
	margin-top:10.0pt;
	margin-right:0in;
	margin-bottom:0in;
	margin-left:0in;
	margin-bottom:.0001pt;
	page-break-after:avoid;
	font-size:13.0pt;
	font-family:"Calibri","sans-serif";
	color:black;
	font-weight:normal;}
h4
	{mso-style-priority:9;
	mso-style-link:"Heading 4 Char";
	margin-top:10.0pt;
	margin-right:0in;
	margin-bottom:0in;
	margin-left:0in;
	margin-bottom:.0001pt;
	page-break-after:avoid;
	font-size:14.0pt;
	font-family:"Calibri","sans-serif";
	color:black;
	font-weight:normal;}
h5
	{mso-style-priority:9;
	mso-style-link:"Heading 5 Char";
	margin-top:10.0pt;
	margin-right:0in;
	margin-bottom:0in;
	margin-left:0in;
	margin-bottom:.0001pt;
	page-break-after:avoid;
	font-size:13.0pt;
	font-family:"Calibri","sans-serif";
	color:black;
	font-weight:normal;}
h6
	{mso-style-priority:9;
	mso-style-link:"Heading 6 Char";
	margin-top:10.0pt;
	margin-right:0in;
	margin-bottom:0in;
	margin-left:0in;
	margin-bottom:.0001pt;
	page-break-after:avoid;
	font-size:11.0pt;
	font-family:"Calibri","sans-serif";
	color:black;
	font-weight:normal;}
p.MsoHeading9, li.MsoHeading9, div.MsoHeading9
	{mso-style-priority:9;
	mso-style-link:"Heading 9 Char";
	margin-top:10.0pt;
	margin-right:0in;
	margin-bottom:0in;
	margin-left:0in;
	margin-bottom:.0001pt;
	page-break-after:avoid;
	font-size:10.0pt;
	font-family:"Calibri","sans-serif";
	color:#404040;
	font-style:italic;}
p.MsoTitle, li.MsoTitle, div.MsoTitle
	{mso-style-priority:10;
	mso-style-link:"Title Char";
	margin:0in;
	margin-bottom:.0001pt;
	text-align:center;
	font-size:12.0pt;
	font-family:"Times New Roman","serif";
	font-weight:bold;}
a:link, span.MsoHyperlink
	{mso-style-priority:99;
	color:#983738;
	text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
	{mso-style-priority:99;
	color:#703637;
	text-decoration:underline;}
span.Heading1Char
	{mso-style-name:"Heading 1 Char";
	mso-style-priority:9;
	mso-style-link:"Heading 1";
	font-family:"Verdana","sans-serif";
	color:black;
	font-weight:bold;}
span.Heading2Char
	{mso-style-name:"Heading 2 Char";
	mso-style-priority:9;
	mso-style-link:"Heading 2";
	font-family:"Verdana","sans-serif";
	color:black;}
span.Heading3Char
	{mso-style-name:"Heading 3 Char";
	mso-style-priority:9;
	mso-style-link:"Heading 3";
	font-family:"Verdana","sans-serif";
	color:black;}
span.Heading4Char
	{mso-style-name:"Heading 4 Char";
	mso-style-priority:9;
	mso-style-link:"Heading 4";
	font-family:"Verdana","sans-serif";
	color:black;}
span.Heading5Char
	{mso-style-name:"Heading 5 Char";
	mso-style-priority:9;
	mso-style-link:"Heading 5";
	font-family:"Verdana","sans-serif";
	color:black;}
span.Heading6Char
	{mso-style-name:"Heading 6 Char";
	mso-style-priority:9;
	mso-style-link:"Heading 6";
	font-family:"Verdana","sans-serif";
	color:black;}
span.Heading9Char
	{mso-style-name:"Heading 9 Char";
	mso-style-priority:9;
	mso-style-link:"Heading 9";
	font-family:"Cambria","serif";
	color:#404040;
	font-style:italic;}
span.TitleChar
	{mso-style-name:"Title Char";
	mso-style-priority:10;
	mso-style-link:Title;
	font-family:"Times New Roman","serif";
	font-weight:bold;}
span.EmailStyle26
	{mso-style-type:personal;
	font-family:"Calibri","sans-serif";
	color:windowtext;}
span.EmailStyle27
	{mso-style-type:personal-reply;
	font-family:"Calibri","sans-serif";
	color:#1F497D;}
.MsoChpDefault
	{mso-style-type:export-only;
	font-size:10.0pt;}
@page WordSection1
	{size:8.5in 11.0in;
	margin:1.0in 1.0in 1.0in 1.0in;}
div.WordSection1
	{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext=3D"edit" spidmax=3D"1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext=3D"edit">
<o:idmap v:ext=3D"edit" data=3D"1" />
</o:shapelayout></xml><![endif]--></head><body bgcolor=3Dwhite background=
=3D"cid:image001.gif@01CD1636.CC2AE260" lang=3DEN-US link=3D"#983738" vlink=
=3D"#703637"><img src=3D"cid:image001.gif@01CD1636.CC2AE260" v:src=3D"cid:i=
mage001.gif@01CD1636.CC2AE260" v:shapes=3D"_x0000_Mail" width=3D0 height=3D=
0 class=3Dshape style=3D'display:none;width:0;height:0'><!--[if gte mso 9]>=
<xml>
<v:background id=3D"_x0000_s1025" o:bwmode=3D"white" o:targetscreensize=3D"=
800,600">
<v:fill src=3D"cid:image001.gif@01CD1636.CC2AE260" o:title=3D"background_af=
trnoon" type=3D"frame" />
</v:background></xml><![endif]--><div class=3DWordSection1><p class=3DMsoNo=
rmal><span style=3D'font-size:11.0pt;color:#1F497D'><o:p>&nbsp;</o:p></span=
></p><p class=3DMsoNormal><span style=3D'font-size:11.0pt;color:#1F497D'><o=
:p>&nbsp;</o:p></span></p><p class=3DMsoNormal align=3Dcenter style=3D'text=
-align:center;line-height:150%'><b><span style=3D'font-size:14.0pt;line-hei=
ght:150%'>MATERIALS SCIENCE AND ENGINEERING<o:p></o:p></span></b></p><h5 al=
ign=3Dcenter style=3D'text-align:center'><span style=3D'font-size:14.0pt'>S=
EMINAR<b><o:p></o:p></b></span></h5><p class=3DMsoTitle><span style=3D'font=
-size:14.0pt;font-weight:normal'><o:p>&nbsp;</o:p></span></p><p class=3DMso=
Normal align=3Dcenter style=3D'text-align:center'><b>Three-Dimensional Mode=
ling of Commercial Battery Anode Microstructures<o:p></o:p></b></p><p class=
=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b><span style=3D'f=
ont-size:10.0pt'><o:p>&nbsp;</o:p></span></b></p><p class=3DMsoNormal align=
=3Dcenter style=3D'text-align:center'>by<o:p></o:p></p><p class=3DMsoNormal=
 align=3Dcenter style=3D'text-align:center'><span style=3D'font-size:10.0pt=
'><o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal align=3Dcenter style=3D'=
text-align:center'>Bharath P. Vijayaraghavan<o:p></o:p></p><p class=3DMsoNo=
rmal align=3Dcenter style=3D'text-align:center'>Purdue MS Final Exam<o:p></=
o:p></p><p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:=
p>&nbsp;</o:p></p><p class=3DMsoNormal align=3Dcenter style=3D'text-align:c=
enter'>Advisor<o:p></o:p></p><p class=3DMsoNormal align=3Dcenter style=3D't=
ext-align:center'>Prof. E. Garcia<o:p></o:p></p><p class=3DMsoNormal align=
=3Dcenter style=3D'text-align:center'><o:p>&nbsp;</o:p></p><p class=3DMsoNo=
rmal align=3Dcenter style=3D'text-align:center'><b><span style=3D'font-size=
:11.0pt'>ABSTRACT<o:p></o:p></span></b></p><p class=3DMsoNormal align=3Dcen=
ter style=3D'text-align:center'><b><span style=3D'font-size:11.0pt'><o:p>&n=
bsp;</o:p></span></b></p><p class=3DMsoNormal style=3D'text-align:justify'>=
<o:p>&nbsp;</o:p></p><p class=3DMsoNormal style=3D'text-autospace:none'>A t=
hree-dimensional theoretical and numerical framework was developed to under=
stand the processing-induced randomness and microstructural interactions of=
 rechargeable lithium-ion batteries. By starting from graphite anode micros=
tructures extracted from X-ray tomography data the effects of the individua=
l features on the electrochemical and mechanical reliability during galvano=
static recharge are quantified. Spatially resolved electrochemical calculat=
ions show that for dense porous electrodes: a) spatially connected porosity=
 combined with internal surface roughness increases the macroscopic capacit=
y of the cell; b) isolated porosity decreases the local conductivity, diffu=
sivity, and charge capacity of the system; and c) fully dense regions are e=
ffective obstacles for charge transport at large C-rates. A combined statis=
tical and visualization analysis identifies surface morphological features =
with a small radius of curvature and porosity bundles as favorable location=
s for dendritic growth. Simulations also show that lithium accumulation ind=
uces low electrochemical potential values and compressive stresses in those=
 surfaces exposed to spatially connected porosity, while tensile stresses d=
evelop in surfaces exposed to electrochemically isolated porosity and fully=
 dense regions, which in turn, favor crack initiation. The crystallographic=
 anisotropy of graphite favors stress localization at grain corners and bou=
ndaries, particularly for large grain boundary misorientations. Simulations=
 demonstrate that battery reliability can be improved by controlling the ra=
dius of curvature of features and the minimization of the occurrence of por=
e bundles. The acquired scientific experiences were abstracted into an anal=
ytical framework to validate and extend widely accepted porosity-tortuosity=
 relations. The proposed framework enables the derivation of analytical exp=
ressions by starting from the volume fractions of the constitutive componen=
ts. <o:p></o:p></p><p class=3DMsoNormal style=3D'text-autospace:none'>Exper=
imentally measured tortuosities are rationalized through the relation devel=
oped herein,&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp; <span style=3D'position:relative;top:3.0pt;mso-text-r=
aise:-3.0pt'><img width=3D82 height=3D26 id=3D"_x0000_i1026" src=3D"cid:ima=
ge003.png@01CD1636.CC2AE260"></span>&nbsp;in the Bruggemann <a name=3D"_GoB=
ack"></a>limit.<o:p></o:p></p><p class=3DMsoNormal style=3D'text-align:just=
ify'><o:p>&nbsp;</o:p></p><p class=3DMsoNormal style=3D'text-align:justify'=
><o:p>&nbsp;</o:p></p><p class=3DMsoNormal><b><span style=3D'font-size:11.0=
pt'>Date:&nbsp;&nbsp; Monday, April 16, 2012<o:p></o:p></span></b></p><p cl=
ass=3DMsoHeading9 style=3D'text-align:justify'><b><span style=3D'font-size:=
11.0pt;font-family:"Verdana","sans-serif";color:windowtext;font-style:norma=
l'>Time:&nbsp;&nbsp; 2:30 P.M</span></b><b><span style=3D'font-size:11.0pt;=
color:windowtext'>.<o:p></o:p></span></b></p><p class=3DMsoNormal style=3D'=
text-align:justify;line-height:150%'><b><span style=3D'font-size:11.0pt;lin=
e-height:150%'>Place:&nbsp; ARMS Rm. 1028<o:p></o:p></span></b></p><p class=
=3DMsoNormal style=3D'text-align:justify'><span style=3D'font-size:11.0pt'>=
<o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal><span style=3D'font-size:1=
1.0pt;color:windowtext'><o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal><s=
pan style=3D'font-size:11.0pt;color:windowtext'><o:p>&nbsp;</o:p></span></p=
><p class=3DMsoNormal><span style=3D'font-size:11.0pt;color:windowtext'><o:=
p>&nbsp;</o:p></span></p><p class=3DMsoNormal><span style=3D'font-size:11.0=
pt;color:windowtext'>Lisa Stacey<o:p></o:p></span></p><p class=3DMsoNormal>=
<span style=3D'font-size:11.0pt;color:windowtext'>Secretary/Development Ass=
istant<o:p></o:p></span></p><p class=3DMsoNormal><span style=3D'font-size:1=
1.0pt;color:windowtext'>Purdue University<o:p></o:p></span></p><p class=3DM=
soNormal><span style=3D'font-size:11.0pt;color:windowtext'>School of Materi=
als Engineering<o:p></o:p></span></p><p class=3DMsoNormal><span style=3D'fo=
nt-size:11.0pt;color:windowtext'>765/494-4100<o:p></o:p></span></p><p class=
=3DMsoNormal><o:p>&nbsp;</o:p></p></div></body></html>=

--_000_92F872D971E7AA498CF64DD847E5594D89C36E822AVPEXCH02purdu_--

--_005_92F872D971E7AA498CF64DD847E5594D89C36E822AVPEXCH02purdu_
Content-Type: image/gif; name="image001.gif"
Content-Description: image001.gif
Content-Disposition: inline; filename="image001.gif"; size=2051;
	creation-date="Mon, 09 Apr 2012 09:54:46 GMT";
	modification-date="Mon, 09 Apr 2012 09:54:46 GMT"
Content-ID: <image001.gif@01CD1636.CC2AE260>
Content-Transfer-Encoding: base64
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=

--_005_92F872D971E7AA498CF64DD847E5594D89C36E822AVPEXCH02purdu_
Content-Type: image/png; name="image003.png"
Content-Description: image003.png
Content-Disposition: inline; filename="image003.png"; size=585;
	creation-date="Mon, 09 Apr 2012 09:54:47 GMT";
	modification-date="Mon, 09 Apr 2012 09:54:47 GMT"
Content-ID: <image003.png@01CD1636.CC2AE260>
Content-Transfer-Encoding: base64

iVBORw0KGgoAAAANSUhEUgAAAFIAAAAaCAMAAAAT+fuoAAAAAXNSR0IArs4c6QAAAGBQTFRFAAAA
AAAAAABIAAB0AEicAHS/SAAASABISAB0SHS/SJzfdAAAdABIdAB0dJzfdL+/dL//nEgAnEh0nJxI
nN//v3QAv9+cv///35xI39+c3/+/3////790/9+c//+////ftXCpzQAAAAF0Uk5TAEDm2GYAAAAJ
cEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAB
UElEQVRIS+VU226DMAxNVtpdskvZljVbk/D/f1lfIUGAQOJh0/wAUuJzbB/bMeaXW3bnnTPMLx97
UxoT/gBldtYedxbzv9JZsi3V5+dPdE+nclIidsQ31y1E/km9AwH5q5YeLrgy6Z6irbJ0skrZtZgd
cJTAcDRdCx7xUB0vcIfmxykloQhfWGyudFSde5T0jvLuWhbY2qG43FOSAlohub65wyXAH7NHPUBX
JPLnceA66Z6SmyMFZgdb0r1/oYQcBS8iNIpatyxtT1k1x/PekbB8wSzplc5BDklsqXBujuBxmbFe
ZJMiabRi802cEnGmSZqlVFymxFC5wCxhPGg+IEp6nG+6Usp4MoG+3kCpslVT5Iv+jqkxLj1YipQ/
9BZRcK3zWG/AfIrDjSLmxmN5bKYiSHOGKRo7rd8eRRaIyQq37PhEyvVLRA4bX6I1Slc+N8qdFW4l
1ZmbAAAAAElFTkSuQmCC

--_005_92F872D971E7AA498CF64DD847E5594D89C36E822AVPEXCH02purdu_--

