FEM Hole Size Correction

kennethfugatekennethfugate
Going through some paperwork I came across a short paper I wrote about 30 years ago regarding hole sizes in FEM models. It is not really needed as much today because we can use fine meshes around holes now. Back then we didn't have the luxury of fine meshes and had to limit the number of nodes due to hardware or runtime limitations. Basically it talks about using the same area for the n-sided polygon around a hole with the area based on the blueprint hole diameter.

Enjoy, Ken

Comments

  • VictorVictor
    Nice short paper! I wish everyone wrote them like this! I wouldn't say the need is less now because of computers though because people use those computers to make even more holes! And programmers use them to make even less efficient software so there are still endless problems with performance.

    However, with quadratic elements, the difference between the hole radius and equal-area radius is usually negligible. Even a "square" hole with 8 nodes placed at the radius has an area 98.8% of the intended circle's area.
  • kennethfugatekennethfugate
    @Victor it was written with linear elements in mind. I wasn't using higher order elements when I wrote it until my office started using Pro/Mechanica a few years later.
  • VictorVictor
    @kennethfugate wow, even 30 years ago linear elements only sounds cruel!
  • DaveStuppleDaveStupple
    Victor, Kenneth,

    Agreed, short and to the point. Not quite as short as this one:

    https://ams.org/journals/bull/1966-72-06/S0002-9904-1966-11654-3/S0002-9904-1966-11654-3.pdf
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