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July 1997

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Subject:
From:
"Andrew J. Scholand" <[log in to unmask]>
Date:
Wed, 23 Jul 1997 00:55:02 -0400
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LaVern Mullet asked for the Thermal Conductivity of FR-4.  

I'd like to reinforce Frank Hinojos' point that be careful to include the contribution of 
copper to total thermal conductivity.  Manno and Kurita provide the following numbers 
for copper clad laminates:

Board					  Cu Thickness			Effective x-y conductivity 
Plain epoxy				0.0 meters						0.26 Watt/moC
1 oz Double clad		0.000035 meters				1.14 Watt/moC
2 oz Double clad		0.000070 meters			  35.9 Watt/moC

Note what a nonlinear effect the copper has!  I've often wondered if post-lamination 
warpage is more noticeable than warpage at other processing steps because of a lack of 
copper vertically through the PWB structure, allowing higher thermal gradients to exist 
through the PWB than are possible once there are high conduction paths (PTHs & 
PTVs).

Anyway, some other figures for good measure:

Barker uses 0.157 W/moC for FR-4 and 398 W/moC for copper.  These figures are 
widely used.

Prakash and Knadle suggest 0.342-0.366 Watt/moC for Epoxy resin and laminate.
Their value for copper is 401.6


Hope it helps,
Cheers,
		Andy


Refs:

Barker, D., Pecht, M., Dasgupta, A., Naqvi, "Transient Thermal Stress Analysis of a 
Plated Through Hole Subjected to Wave Soldering," Journal of Electronic Packaging, 
Vol. 113, No. 2, 1991, pp.149-155.

Prakash, V. and Knadle, K., "Analysis of Transient Thermal Strains in a Plated Through 
Hole Using Current Induced Heating and Transient Moire Interferometry", EEP-Vol. 
13/AMD-Vol.214, Applications of Experimental Mechanics to Electronic Packaging, 
ASME 1995, pp.53-60.

Manno, Vincent P. , Kurita, Nadine R., and Azar, Kaveh, "Experimental Characterization 
of Board Conduction Effects", Ninth IEEE SEMI-THERM Symposium, Austin, TX 2-4 
Feb. 1993. pp. 127- 135.

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