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From:
Werner Engelmaier <[log in to unmask]>
Reply To:
TechNet E-Mail Forum <[log in to unmask]>, Werner Engelmaier <[log in to unmask]>
Date:
Thu, 17 Jun 2010 16:44:37 -0400
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 Hi Inge, 
This is not Manson's universal slope equation, it is more general than that. The first part is the Basquin equation for high-cycle fatigue (HCF) and the second part is the Coffin-Mansion equation for low-cycle fatigue (LCF). The problem is that neither is correct the way you wrote it. 

Delta epsilon = 3.5 x sigma b/E  x  Nf exp-0.12  +  epsilon1 exp 0.6 x Nf exp -0.6 
where 
Delta epsilon = elongation 
sigma b = rupture tension 
E = elasticity module 
Nf = number of cycles to rupture 
epsilon1= rupture elongation 

 The Basquin equation really looks like this

 Delta epsilon (elastic) = sigma b/E  x  Nf exp b
       where
      sigma b= fatigue strength coefficient ≠ rupturestrength (tension)
      b= fatigue strength exponent, -0.07 to -0.12
The Coffin-Manson equation really looks like this
Delta epsilon (plastic) =  epsilon1 exp 0.75 x Nf exp c

       where
      epsilon1= ductility ≠ elongation for thin specimens like foil and wire
      c= fatigue ductility exponent, -0.5 to -0.7
Keep an eye out for a column on just this topic in Global SMT & Packaging magazine in about 2 months
Werner



-----Original Message-----
From: Inge <[log in to unmask]>
To: [log in to unmask]
Sent: Wed, Jun 16, 2010 4:54 pm
Subject: Re: [TN] ?


Thanks Wayne. 
1.  No aspect on 'half moon crescent' ? 
 
2.  Have you or  someone else practised Manson's universal slope equation for calculation of life expectancy of bond wires? 
 
Delta epsilon = 3.5 x sigma b/E  x  Nf exp-0.12  +  epsilon1 exp 0.6 x Nf exp -0.6 
where 
Delta epsilon = elongation 
sigma b = rupture tension 
E = elasticity module 
Nf = number of cycles to rupture 
epsilon1= rupture elongation 
 
We used this for deciding how many cycles gold wires would withstand in a typical MIL aircraft application when the substrates were alumina and the packages Kovar. The result was som 50,000 - 100,000 cycles or 60-120 years for -55/+125C. 
 
The question is how much one can rely on this calculation model.  Anyone done similar ?  Personally I thing one should only see such calculations as estimations only. 
 
Inge 
 
-------------------------------------------------- 
From: "Thayer, Wayne - IIW" <[log in to unmask]> 
Sent: den 16 June 2010 20:57 
To: <[log in to unmask]> 
Subject: Re: [TN] ? 
 
> Hi Inge! 
> 
> 5 grams per square mil average shear for gold ball bonding 
> Avg - 3 x StdDev > 3 grams for 1 mil gold destructive pull test 
> 
> The latter is kind of vague because the wire set must be large enough to > get a good sample size and all of the loops have to have reasonable > heights and must be similar. 
> 
> For aluminum, we're very application-dependent, but use the Avg - 3 x > StdDev as the parameter of interest. 
> 
> These don't test how close to cratering we are, which is an industry-wide > issue. 
> 
> Visually, we are looking for a consistent rim on the ball, and a rim > height no greater than about one half of the wire diameter.  For the > stitch, consistency and virtually no capillary imprint from the stitch > process on the lead/land. 
> 
> Wayne 
> 
> -----Original Message----- 
> From: TechNet [mailto:[log in to unmask]] On Behalf Of Inge 
> Sent: Wednesday, June 16, 2010 1:58 PM 
> To: [log in to unmask] 
> Subject: [TN] ? 
> 
> What standards do you use for inspection and qualification of wire bonding 
> today? 
> Thanks 
> IInge 
> 
> 
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