Metal Whiskers: Failure Modes & Mitigation Strategies - NEPP - NASA
Metal Whiskers: Failure Modes & Mitigation Strategies - NEPP - NASA
Metal Whiskers: Failure Modes & Mitigation Strategies - NEPP - NASA
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FB<br />
Euler Buckling<br />
Axial Force Required to Buckle a <strong>Metal</strong> Whisker<br />
( ) ⎟ 2<br />
3<br />
4<br />
π<br />
EI ⎛ π ⋅ E ⎞⎛<br />
d ⎞<br />
= ≈ ⎜<br />
⎟<br />
⎜<br />
2<br />
2<br />
KL ⎝ 32 ⎠⎝<br />
L ⎠<br />
E = Young’s Modulus of whisker material,<br />
I = Area Moment of Inertia,<br />
(e.g. I = π d 4 / 64 for circular cross section)<br />
L = Length of whisker,<br />
K = Column Effective Length Factor<br />
K = 0.5 for whisker fixed at both ends<br />
K = 0.7 for fixed at one end, pinned at other<br />
December 5, 2007 <strong>Metal</strong> <strong>Whiskers</strong>:<br />
<strong>Failure</strong> <strong>Modes</strong> and <strong>Mitigation</strong> <strong>Strategies</strong><br />
Conductor<br />
Conformal Coat<br />
“Whisker”<br />
F B<br />
Whisker Growth Surface<br />
24