For Example 12.3, verify that the potentials o (z), o (z) given by relations (12.8.14)

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For Example 12.3, verify that the potentials γo(z), Ψo(z) given by relations (12.8.14) satisfy the stress-free boundary conditions on the problem.

Data from example 12.3

Consider again the annular plate problem shown in Fig. 12.2. Assume a complex temperature potential of the

relation (12.8.5), it is found that this temperature field produces a logarithmic term in the displacement

and this is satisfied by potentials with the following properties A = B Yo (2) = -A- Y (2)= Thus, the final

Equation 12.8.14

A = B Yo (2) = -A- + rit  (2) = - AZ (2 +26) -A

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