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Let's next consider the expected trends for Sigma-theta, the rcircumferential circumferential stress, in the vicinity of the hole and far from the hole. The analytical solution for Sigma-theta in an infinite plate is:

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Far from the hole, Sigma-theta is a function of theta only but it's its variation is the opposite of Sigma-r (which is not surprising since r and theta are orthogonal coordinates; when r . AS is aligned with x, theta is aligned with y and vice-versa). As one goes around the hole from theta = 0 to theta = 90 deg., Sigma-theta increases from 0 to Sigma-o. More trends to check in the ANSYS results.!

Tau_r_theta

Finally, we will examine how the shear stress in the r_theta direction varies in the plate. The equation for the shear stress in the plate is:

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