Thread: Eigenvalue proof

Please remove

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!

I think it's pretty hard to understand your symbols: either you write in LaTeX, or else call E instead "eta", w instead lambda or the like.

Tonio

solved