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Compression of microspheres: Theory and application

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Young’s modulus<br />

Determination <strong>of</strong> single contact deformations <strong>and</strong> :<br />

∗<br />

silicon-silica contact: <br />

∗<br />

diamond-silica contact: <br />

<br />

/ <br />

<br />

∗<br />

<br />

<br />

1 <br />

/ <br />

<br />

∗<br />

<br />

<br />

<br />

<br />

<br />

4 3 1<br />

∗<br />

1<br />

∗<br />

<br />

<br />

<br />

/ 1 / <br />

/<br />

Example: Stöber silica (R = 250nm)<br />

∗<br />

Q = 0.500 <br />

∗<br />

Q = 0.530 <br />

27.7 1.9 <br />

25.9 1.8 <br />

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

Q = δ 1<br />

/δ t<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

PS<br />

fused<br />

silica<br />

diamond<br />

0.1 1 10 100 1000<br />

E * particle [GPa] Si (100)<br />

5

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