Wing Kam Liu* and Wei Chen, Northwestern University ... - SAMSI
Wing Kam Liu* and Wei Chen, Northwestern University ... - SAMSI
Wing Kam Liu* and Wei Chen, Northwestern University ... - SAMSI
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Multiresolution Concept: zoom into a microstructure in the same way that<br />
modern satellite technology allows us to zoom into an image of the earth<br />
a.<br />
Small Number of pixels<br />
per km 2 – suitable for a<br />
global image<br />
TiC<br />
~5 um<br />
0<br />
u<br />
Small Number of<br />
degrees of freedom –<br />
suitable for average<br />
behavior<br />
b.<br />
Increasing Image Resolution<br />
More resolution – cities<br />
can be observed<br />
1<br />
u<br />
Discrete behavior of TiN<br />
primary inclusions<br />
begins to be observed<br />
Increasing Constitutive Resolution<br />
c. d.<br />
Increasing resolution –<br />
buildings can be observed<br />
~1 um ~0.1 um 10 nm<br />
u<br />
Discrete behavior of<br />
TiC secondary<br />
particles is observed<br />
2<br />
<strong>Northwestern</strong> <strong>University</strong><br />
- a fine institution<br />
Macro Micro TiN Sub-Micro TiC Nano<br />
3<br />
u<br />
Very fine resolution – material<br />
interface is observed
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