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October 4th, 2010, 04:59 PM   #1
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Eigenvalue proof

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!
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October 5th, 2010, 04:44 AM   #2
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Re: Eigenvalue proof

solved
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October 5th, 2010, 05:43 AM   #3
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Re: Eigenvalue proof

please remove
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