Compression of microspheres: Theory and application
Compression of microspheres: Theory and application
Compression of microspheres: Theory and application
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Unloading<br />
Young’s modulus:<br />
Fully elastic unloading process<br />
Unknown particle shape<br />
Unknown correlation to ∗<br />
Residual stresses<br />
L.-Y. Li et al. (2002):<br />
4 3 ∗ /<br />
<br />
4 3<br />
∗<br />
<br />
/<br />
Uniform pressure distribution:<br />
̅<br />
16<br />
3 ∗ 16<br />
3² ∗<br />
Average true stress/strain:<br />
<br />
̅ <br />
<br />
<br />
<br />
<br />
/<br />
Red. E-Modul (GPa)<br />
70<br />
60<br />
50<br />
40<br />
30<br />
20<br />
Sphere Cap Cylinder<br />
10<br />
0.0 0.1 0.2 0.3 0.4<br />
Rel. deformation<br />
Hertz<br />
Cyl-fit (uniform pressure) Cap-fit (uniform pressur<br />
Cyl-fit (true stress/strain) Li-fit<br />
J. Paul PiKo-Workshop Siegen 2012<br />
9