## Rectangular plate with a hole, axial load

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Stress concentration factor (SCF) for a rectangular plate with a hole, axial load $$F$$, thickness $$h$$, width $$w$$, hole diameter $$d$$.
$$K_t$$ is calculated so that the max. von Mises stress can be calculated as $$\sigma^\prime = K_t F / [(w-d) h]$$.

 Enter $$d/w$$ : $$K_t$$ = 2.98

In this site, $$K_t$$ is calculated by a response surface (model) that has been adjusted to 9 simulation points spanning the domain $$d/w=[0,0.8]$$, as shown below.

The 9 data points have been calculated automatically by 27+ Abaqus simulations using a parameterized (Python) script. The number of simulations is 3X the number of data points because each value of $$K_t(d/w)$$ requires 3+ simulations at each d/w to achieve a solution with less than 1% error, by invoking automatic adaptive mesh refinement for each data point within the script.

You can appreciate the effect of adaptive mesh refinement by observing the two figures below, both corresponding to the third iteration of adaptive refinement. In the figure below, you can see the overal deformation and stress concentration at the edge of the hole, but mesh size is not clear because the elemments are so small in the region of highest stress.

In the figure below, you can see that the mesh is very fine in the region of highest stress.

You can learn how to produce similar simulations here [link to be provided].