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Metal Whiskers: Failure Modes & Mitigation Strategies - NEPP - NASA

Metal Whiskers: Failure Modes & Mitigation Strategies - NEPP - NASA

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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

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