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bobinthebox
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I am studying the finite bending of a rubber-like block, assuming Neo-Hookean response. In the following, , , are parameters, while the variables are and .
The Cauchy stress tensor is
Now I need to solve , where the divergence has to be computed in cylindrical coordinates. The author says:
Question:
I assume means , right? If so, I obtained
Unfortunately, the first equilibrium equation I obtain is different from the one of the book, which is attached to this message.
I obtain
I'd like to have a check about this, because I think I computed correctly the two principal stresses, so maybe there's a mistake in the book.Bob
The Cauchy stress tensor is
Now I need to solve
Since there are only two non-null principal stresses,and , equilibrium becomes
Question:
I assume
Unfortunately, the first equilibrium equation I obtain is different from the one of the book, which is attached to this message.
I obtain
I'd like to have a check about this, because I think I computed correctly the two principal stresses, so maybe there's a mistake in the book.Bob
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