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

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Will <strong>Whiskers</strong> Buckle Before<br />

Puncturing a Distant Coated Surface?<br />

• The displacement of the conformal coat due to a whisker pushing<br />

against the coating is:<br />

D<br />

( ) ⎟ 2<br />

3<br />

3<br />

⎛ 1 −ν<br />

⎞⎛<br />

F ⎛ ⎞ ⎛ ⎞⎛<br />

⎞<br />

B ⎞ π<br />

2 E W d<br />

= ⎜<br />

⎟<br />

⎟⎜<br />

⎟ ≈ ⎜<br />

⎟ 1 −ν<br />

⎜ ⎟ ⎜ 2<br />

⎝ E ⎠⎝<br />

d ⎠ ⎝ 32 ⎠ ⎝ E coat ⎠⎝<br />

L ⎠<br />

coat<br />

Where<br />

D = Displacement of conformal coat<br />

ν = Poisson’s ratio<br />

E coat = Young’s Modulus of coating<br />

E W = Young’s Modulus of Whisker<br />

d = “Diameter” of whisker<br />

L = Length of whisker<br />

F B = Euler Buckling Strength<br />

of the whisker<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 />

F B<br />

Conductor<br />

26

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