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Compression of microspheres: Theory and application

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Calculation <strong>of</strong> Energy<br />

Calculation <strong>of</strong>:<br />

• Expended energy: d<br />

• Elastic energy: <br />

• Elastic plastic loading index:<br />

1 <br />

<br />

Energy / volume [mJ/µm³]<br />

6 SiO 2<br />

:<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

x = 500nm<br />

x = 1000nm<br />

0.2 0.4 0.6 0.8 1.0<br />

Max. relative deformation<br />

Rel. force<br />

1.0 Polystyrene (EPL = 0.67)<br />

Silica (EPL = 0.87)<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0.0<br />

0.0 0.2 0.4 0.6<br />

Rel. deformation<br />

J. Paul PiKo-Workshop Siegen 2012<br />

Elastic-plastic index<br />

1.0<br />

0.8<br />

0.6<br />

SiO 2<br />

:<br />

x = 500nm<br />

x = 1000nm<br />

0.4<br />

0.2 0.4 0.6 0.8 1.0<br />

Max. relative deformation<br />

10

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