Hello Daniel,
Well, in some cases they seem to coincide. You can notice this if you compare the two last images.(one is principal curvutures ans the othe principal stresses). It is an interesting issue though, i'll superimpose the two in different surfaces and see what is coming out.
I wonder for which kinds of shapes are the principal curvature lines equivalent to the principal stress lines? Would this lead to a new class of "optimal surfaces"?
It works with a sphere, but maybe only because every direction is principal....
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