The problem said:(adsbygoogle = window.adsbygoogle || []).push({});

"Determine the magnitude of the Schmid factor for an FCC single crystal oriented with its [100] direction parallel to the loading axis. "

The Schmid factor is the

"cos([tex]\phi[/tex])*cos([tex]\lambda[/tex])"

term in the equation for resolved shear stress.

I know that the slip planes for an FCC single crystal are the four {111} planes, and the slip directions are the three <110> directions inside each of the {111} planes.

To solve for [tex]\phi[/tex], the angle between the <111> direction and the loading direction, <100>, I said that it was equal to

Cos[tex]^{-1}[/tex]((1*1+1*0+1*0)/[tex]\sqrt{(1^2+1^2+1^2)*(1^2)}[/tex])

That comes out to 1/[tex]\sqrt{3}[/tex]

And using the same equation, I found that [tex]\lambda[/tex], the angle between the loading direction, <100>, and the slip direction, <01-1>, is [tex]\pi[/tex]/2

Multiplying [tex]\phi[/tex] and [tex]\lambda[/tex] should have given me the schmid factor, according to my textbook, but I couldn't get the right answer.

The answer is .408, but I kept getting something different and I'm not sure why. If some one could explain this to me, I would be very grateful. Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Calculating the Schmid factor for an FCC single crystal

**Physics Forums | Science Articles, Homework Help, Discussion**