Numerics FEA interpolation order vs element number

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SUMMARY

The discussion centers on the comparison between interpolation order and element number in Finite Element Analysis (FEA). Specifically, it highlights the trade-offs between using fewer high-order elements, such as quadratic interpolation, versus more low-order elements with linear interpolation. The efficiency in solving time and model size is emphasized, with the conclusion that the choice depends on the specific application and stress gradients in the analyzed area. Additional resources are provided for further understanding of mid-side nodes in FEA.

PREREQUISITES
  • Understanding of Finite Element Analysis (FEA)
  • Familiarity with interpolation methods (linear and quadratic)
  • Knowledge of stress analysis in engineering applications
  • Basic concepts of element efficiency in numerical modeling
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  • Research the impact of interpolation order on FEA accuracy
  • Learn about stress gradient analysis in engineering simulations
  • Explore the use of mid-side nodes in FEA models
  • Investigate software tools for FEA, such as ANSYS or Abaqus
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Engineers, FEA analysts, and researchers looking to optimize numerical simulations and understand the implications of element choice in stress analysis.

member 428835
Hi PF!

Can someone help me understand the difference between interpolation order (linear, quadratic, etc) vs element number?

Like, if we had a 1D beam (for simplicity) what's the difference between using 1 element and a quadratic interpolation vs 2 elements but a linear interpolation?

Not sure if this is posted in the right spot?
 
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In the end the choice between more low-order elements or fewer high-order elements will depend on your application, and the stress gradients in the area you're analyzing. Fewer high-order elements can be more efficient in terms of solving time and model size, but it may still be necessary to have a large number of them depending on your goals.

Here is some additional reading on the topic: http://www.padtinc.com/blog/the-focus/mid-side-nodes-do-they-really-help
 
Mech_Engineer said:
In the end the choice between more low-order elements or fewer high-order elements will depend on your application, and the stress gradients in the area you're analyzing. Fewer high-order elements can be more efficient in terms of solving time and model size, but it may still be necessary to have a large number of them depending on your goals.

Here is some additional reading on the topic: http://www.padtinc.com/blog/the-focus/mid-side-nodes-do-they-really-help
Thanks!
 

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