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Now, let's look at the radial stress varies in the plate:

at r=a

This boundary condition can be validated intuitively. Let's look at a finite element on the hole

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From structural mechanics, we know that any stress on a face must be zero; therefore the analytical solution at r = a is correct.

at r>>a

sigma_theta

Now we will examine how sigma_theta varies in the plate. We will approach this very similarly to how we approached the examination of sigma_r:

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