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From: "Stacey, Lisa A" <staceyl@purdue.edu>
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Date: Mon, 9 Apr 2012 09:55:03 -0400
Subject: SEMINAR NOTICE - B. Vijayaraghavan 4/16/12
Thread-Topic: SEMINAR NOTICE - B. Vijayaraghavan 4/16/12
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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


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mage001.gif@01CD1636.CC2AE260" v:shapes=3D"_x0000_Mail" width=3D0 height=3D=
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<v:background id=3D"_x0000_s1025" o:bwmode=3D"white" o:targetscreensize=3D"=
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</v:background></xml><![endif]--><div class=3DWordSection1><p class=3DMsoNo=
rmal align=3Dcenter style=3D'text-align:center;line-height:150%'><b><span s=
tyle=3D'font-size:14.0pt;line-height:150%'>MATERIALS SCIENCE AND ENGINEERIN=
G<o:p></o:p></span></b></p><h5 align=3Dcenter style=3D'text-align:center'><=
span style=3D'font-size:14.0pt'>SEMINAR<b><o:p></o:p></b></span></h5><p cla=
ss=3DMsoTitle><span style=3D'font-size:14.0pt;font-weight:normal'><o:p>&nbs=
p;</o:p></span></p><p class=3DMsoNormal align=3Dcenter style=3D'text-align:=
center'><b>Three-Dimensional Modeling of Commercial Battery Anode Microstru=
ctures<o:p></o:p></b></p><p class=3DMsoNormal align=3Dcenter style=3D'text-=
align:center'><b><span style=3D'font-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=3DM=
soNormal align=3Dcenter style=3D'text-align:center'>Bharath P. Vijayaraghav=
an<o:p></o:p></p><p class=3DMsoNormal align=3Dcenter style=3D'text-align:ce=
nter'>Purdue MS Final Exam<o:p></o:p></p><p class=3DMsoNormal align=3Dcente=
r style=3D'text-align:center'><o:p>&nbsp;</o:p></p><p class=3DMsoNormal ali=
gn=3Dcenter style=3D'text-align:center'>Advisor<o:p></o:p></p><p class=3DMs=
oNormal align=3Dcenter style=3D'text-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=3DMsoNormal align=3Dcenter style=3D'text-align:cen=
ter'><b><span style=3D'font-size:11.0pt'>ABSTRACT<o:p></o:p></span></b></p>=
<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><b><span st=
yle=3D'font-size:11.0pt'><o:p>&nbsp;</o:p></span></b></p><p class=3DMsoNorm=
al style=3D'text-align:justify'><o:p>&nbsp;</o:p></p><p class=3DMsoNormal s=
tyle=3D'text-autospace:none'>A three-dimensional theoretical and numerical =
framework was developed to understand the processing-induced randomness and=
 microstructural interactions of rechargeable lithium-ion batteries. By sta=
rting from graphite anode microstructures extracted from X-ray tomography d=
ata the effects of the individual features on the electrochemical and mecha=
nical reliability during galvanostatic recharge are quantified. Spatially r=
esolved electrochemical calculations show that for dense porous electrodes:=
 a) spatially connected porosity combined with internal surface roughness i=
ncreases the macroscopic capacity of the cell; b) isolated porosity decreas=
es the local conductivity, diffusivity, and charge capacity of the system; =
and c) fully dense regions are effective obstacles for charge transport at =
large C-rates. A combined statistical and visualization analysis identifies=
 surface morphological features with a small radius of curvature and porosi=
ty bundles as favorable locations for dendritic growth. Simulations also sh=
ow that lithium accumulation induces low electrochemical potential values a=
nd compressive stresses in those surfaces exposed to spatially connected po=
rosity, while tensile stresses develop in surfaces exposed to electrochemic=
ally isolated porosity and fully dense regions, which in turn, favor crack =
initiation. The crystallographic anisotropy of graphite favors stress local=
ization at grain corners and boundaries, particularly for large grain bound=
ary misorientations. Simulations demonstrate that battery reliability can b=
e improved by controlling the radius of curvature of features and the minim=
ization of the occurrence of pore bundles. The acquired scientific experien=
ces were abstracted into an analytical framework to validate and extend wid=
ely accepted porosity-tortuosity relations. The proposed framework enables =
the derivation of analytical expressions by starting from the volume fracti=
ons of the constitutive components. <o:p></o:p></p><p class=3DMsoNormal sty=
le=3D'text-autospace:none'>Experimentally measured tortuosities are rationa=
lized through the relation developed herein,&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style=3D'positi=
on:relative;top:3.0pt;mso-text-raise:-3.0pt'><img width=3D82 height=3D26 id=
=3D"_x0000_i1026" src=3D"cid:image003.png@01CD1636.CC2AE260"></span>&nbsp;i=
n the Bruggemann <a name=3D"_GoBack"></a>limit.<o:p></o:p></p><p class=3DMs=
oNormal style=3D'text-align:justify'><o:p>&nbsp;</o:p></p><p class=3DMsoNor=
mal style=3D'text-align:justify'><o:p>&nbsp;</o:p></p><p class=3DMsoNormal>=
<b><span style=3D'font-size:11.0pt'>Date:&nbsp;&nbsp; Monday, April 16, 201=
2<o:p></o:p></span></b></p><p class=3DMsoHeading9 style=3D'text-align:justi=
fy'><b><span style=3D'font-size:11.0pt;font-family:"Verdana","sans-serif";c=
olor:windowtext;font-style:normal'>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><sp=
an style=3D'font-size:11.0pt;line-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=3DMsoN=
ormal><span style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";co=
lor:windowtext'><o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal><span styl=
e=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";color:windowtext'>=
<o:p>&nbsp;</o:p></span></p><p class=3DMsoNormal><span style=3D'font-size:1=
1.0pt;font-family:"Calibri","sans-serif";color:windowtext'><o:p>&nbsp;</o:p=
></span></p><p class=3DMsoNormal><span style=3D'font-size:11.0pt;font-famil=
y:"Calibri","sans-serif";color:windowtext'>Lisa Stacey<o:p></o:p></span></p=
><p class=3DMsoNormal><span style=3D'font-size:11.0pt;font-family:"Calibri"=
,"sans-serif";color:windowtext'>Secretary/Development Assistant<o:p></o:p><=
/span></p><p class=3DMsoNormal><span style=3D'font-size:11.0pt;font-family:=
"Calibri","sans-serif";color:windowtext'>Purdue University<o:p></o:p></span=
></p><p class=3DMsoNormal><span style=3D'font-size:11.0pt;font-family:"Cali=
bri","sans-serif";color:windowtext'>School of Materials Engineering<o:p></o=
:p></span></p><p class=3DMsoNormal><span style=3D'font-size:11.0pt;font-fam=
ily:"Calibri","sans-serif";color:windowtext'>765/494-4100<o:p></o:p></span>=
</p><p class=3DMsoNormal><o:p>&nbsp;</o:p></p></div></body></html>=

--_000_92F872D971E7AA498CF64DD847E5594D83C438C19CVPEXCH02purdu_--

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