Explicitly develop the governing Navier equation (11.7.5) for the polar orthotropic problem. Verify that its solution is

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Explicitly develop the governing Navier equation (11.7.5) for the polar orthotropic problem.
Verify that its solution is given by (11.7.6) and show how this leads to the stress solution (11.7.7). Finally, confirm that the problem with only external pressure loading is given by (11.7.8).

Equation 11.7.5

du 1 du + dr r dr 124/4/2 -1 = 0

Equation 11.7.6

u= Ar + Br="

Equation 11.7.7

-n-1 or 0 = -1 +="1, 0o=Cnr"-1 Cnr-n-1

Equation 11.7.8

ar A= +1 b2n-a2n +1 b2n - a - (-1-anr-n-1) (- 'n - (p"-1 +a2nr-n-1) 2n

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