Originally Posted by

**gthoren** I have bee asked to show that for the eigenvalue problem:

eta** e**= lamda(eta) **e**

Show that:

lamda(eta) = ( lamda(b) -1 )/(2lamda(b))

where eta = Eularian strain tensor = 1/2(I-inv(B))

lamda(eta) = eigenvalues of eta

**e** = eigenvector of eta

B = left cauchy-Green tensor

lamda(b) = eigenvalues of B

I don't really know where to start. I've come up with this so far:

inv(B)**e** = (1-2lamda(eta))**e**

Any tips what to do?

Thanks!