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Far from the hole, σr is a function of �� only. At �� = 0, σr ~ σo. This makes sense since r is aligned with x when �� = 0. At �� = 90 deg., σr ~ 0 which also makes sense since r is now aligned with y. We'll check these trends in the ANSYS AIM results.

σ��

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

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

��r��

The analytical solution for the shear stress, ��r��, in an infinite plate is:

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We can deduce that, far from the hole, ��r�� = 0 both at �� = 0 and �� = 90 deg. Even more trends to check in ANSYS AIM!

σx

First, let's begin by finding the average stress, the nominal area stress, and the maximum stress with a concentration factor.

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Now that we have the pre-calculations, we are ready begin simulating in ANSYS AIM. Open ANSYS AIM by going to Start > All Apps > ANSYS 18.1 > ANSYS AIM 18.1. Once you are at the start page of AIM, select the Structural template in the top left corner as shown below.

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