Using the results from Exercise 11.27, show that the stresses in a rotating solid circular polar-orthotropic disk of radius a with boundary condition σ_r (a) = 0 are given by:

Data from exercise 11.27

For the rotating disk problem given previously in Example 8.11, the governing equilibrium equation was given by (8.4.74). Since this equation is also valid for anisotropic materials, consider the polar-orthotropic case and use equations (11.7.3) to express the equilibrium equation in terms of the displacement as:

Transcribed Image Text:

or 3 + verpw(a--1-1) 9-n de pw 3- - [n(3+vor) a_n-1 - (n +3ver)r] n Discuss issues with the case n < 1