Derivation of Voigt's Shear Modulus

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 2K views
mgong21
Messages
1
Reaction score
0
TL;DR
How did Voigt derive the average shear modulus of an anisotropic material, G=1/5 (A-B+3C), where 3A=c11+c22+c33, 3B=c12+c13+c23, 3C=c44+c55+c66?
How did Voigt derive the average shear modulus of an anisotropic material, G=1/5 (A-B+3C), where 3A=c11+c22+c33, 3B=c12+c13+c23, 3C=c44+c55+c66?

The original text is published in German about 100 years ago. I looked for other papers explaining this, but none has explained the derivation. They simply quote the result.
 
Physics news on Phys.org
Welcome to PF.
Have you tried to 'google translate' Voigt's 1889 German paper ?