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Mesh-Free Computational Shock and Fracture

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1<br />

2<br />

3<br />

4<br />

Stability Boundaries for DPD<br />

LEGEND<br />

Euler update using current<br />

velocities* to calculate stress.<br />

Predictor/Corrector - full forward<br />

Predictor/Corrector* - averaged<br />

Predictor/Corrector*<br />

-3<br />

Complex g " space:<br />

Eigenvalues of<br />

-2<br />

2<br />

G = ( # t / " o){<br />

! AB + µ [(A • B)I + BA]}<br />

-1<br />

4<br />

3<br />

2<br />

1<br />

Im(g " )<br />

1<br />

0.5<br />

0<br />

0<br />

-0.5<br />

-1

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